commit 53b3d7c6e12fb82986ad119cf8b8433a3ecded6c Author: NicholasFarrow <nicholas.w.farrow@gmail.com> Date: Thu, 31 Jan 2019 22:55:20 +1100 Initial upload Diffstat:
| A | .ipynb_checkpoints/Inference Demo-checkpoint.ipynb | | | 556 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/Inference Demo.ipynb | | | 576 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/Samples/bothMassSamples.npy | | | 0 | |
| A | Demo Files/Samples/mr_samples.txt | | | 17 | +++++++++++++++++ |
| A | Demo Files/Samples/ms_samples.txt | | | 17 | +++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/.txt | | | 8725 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/ev.dat | | | 8233 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/live.points | | | 500 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/phys_live.points | | | 500 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/post_equal_weights.dat | | | 4704 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/post_separate.dat | | | 8727 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/resume.dat | | | 7 | +++++++ |
| A | Demo Files/hypo1/twoG/unif/stats.dat | | | 40 | ++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo1/twoG/unif/summary.txt | | | 2 | ++ |
| A | Demo Files/hypo2/sing/sing/.txt | | | 6239 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/sing/sing/ev.dat | | | 0 | |
| A | Demo Files/hypo2/sing/sing/live.points | | | 160 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/sing/sing/phys_live.points | | | 160 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/sing/sing/post_equal_weights.dat | | | 2711 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/sing/sing/post_separate.dat | | | 6241 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/sing/sing/resume.dat | | | 1 | + |
| A | Demo Files/hypo2/sing/sing/stats.dat | | | 31 | +++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/sing/sing/summary.txt | | | 2 | ++ |
| A | Demo Files/hypo2/twoG/unif/ev.dat | | | 0 | |
| A | Demo Files/hypo2/twoG/unif/live.points | | | 100 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/twoG/unif/phys_live.points | | | 100 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Demo Files/hypo2/twoG/unif/resume.dat | | | 1 | + |
| A | Inference Demo.ipynb | | | 556 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Main Code/Plotting/ResultsPlotting.ipynb | | | 1378 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Main Code/README.md | | | 50 | ++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Main Code/Samples/mr_samples.txt | | | 17 | +++++++++++++++++ |
| A | Main Code/Samples/ms_samples.txt | | | 17 | +++++++++++++++++ |
| A | Main Code/hypothesisA.py | | | 194 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Main Code/hypothesisAnalyse.py | | | 227 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Main Code/hypothesisB.py | | | 158 | +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | Main Code/models.py | | | 53 | +++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| A | models.py | | | 53 | +++++++++++++++++++++++++++++++++++++++++++++++++++++ |
37 files changed, 51053 insertions(+), 0 deletions(-)
diff --git a/.ipynb_checkpoints/Inference Demo-checkpoint.ipynb b/.ipynb_checkpoints/Inference Demo-checkpoint.ipynb @@ -0,0 +1,556 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference on the Mass Distribution of Galactic Double Neutron Stars\n", + "In this demo we investigate mass distribution models under the hypothesis that Recycled and Non-recycled neutron stars have differing mass distributions. We compare two sub-hypotheses for the mass distribution of *recycled (fast)* and *non-recycled (slow)* Neutron Stars from Galactic Double Neutron Star (DNS) systems. The sub-hypotheses we compare are:\n", + "\n", + "1. Recycled NS distribution is two-Gaussian (bimodal) and non-recycled is uniform. (Most favoured hypothesis in our findings)\n", + "2. Recycled & non-recycled are both single-Gaussian distributions. (Conventional)\n", + "\n", + "However this code can easily be altered to compare any other two sub-hypotheses by changing the models investigated through replacing occurences of:\n", + "> models.uniformList\n", + ">\n", + "> models.___________List\n", + "\n", + "into models of your choosing. Infact you can investigate your own models by writing a function in models.py (as long as you introduce an appropriate prior!)\n", + "\n", + "### Requirements (Imports)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# We require functions for uniform, truncated gaussian, and truncated two-gaussian models.\n", + "import models\n", + "\n", + "# We sample using pymultinest\n", + "import pymultinest\n", + "\n", + "# Useful librarys for mathematical operations\n", + "import numpy as np\n", + "from scipy import stats\n", + "from scipy.special import erf\n", + "import random\n", + "\n", + "# Filesystem operations\n", + "import os\n", + "import sys" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We also load the mass samples:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Load DNS mass samples\n", + "bothMassSamples = np.load('Demo Files/Samples/bothMassSamples.npy')\n", + "# For each DNS, pulsar & companion samples are grouped in pairs.\n", + "# Creates array of shape like (17x10000x2) (17 DNSs x 10000 observation samples x 2 (pulsar + companion))\n", + "\n", + "# Only use 200 samples for faster sampling\n", + "massSamples = bothMassSamples[:,:200,:]\n", + "\n", + "# Define the nMeasurements and nSamples per mass measurement\n", + "nSamples, nMeasurements = len(massSamples[0]), len(massSamples)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Prior\n", + "\n", + "Here we define prior used in this hypothesis. In this demo as we are exploring sub-hypotheses between **pairs of models**, therefore we run PyMultiNest with a set of hyperparameters which contains the parameters describing both models." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def prior(cube, ndim, nparams):\n", + " # cube is initially a unit hypercube which is to be mapped onto the relevant prior space.\n", + " \n", + " # j is the hyperparameter index. We map the priors beginning with the parameters of model1,\n", + " # and then incriment j by the number of parameters in that model1. Then mapping\n", + " # the parameters of the next model2.\n", + " j = 0\n", + " \n", + " # Loop over both models in the sub-hypothesis.\n", + " for modelBeingMapped in [modelName1, modelName2]:\n", + " if modelBeingMapped == 'singleGaussian':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = 0.005 + cube[j+1] * (0.5 - 0.005)\n", + " j += 2\n", + " if modelBeingMapped == 'twoGaussian':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j])\n", + " cube[j+2] = 0.005 + cube[j+2] * (0.5 - 0.005)\n", + " cube[j+3] = 0.005 + cube[j+3] * (0.5 - 0.005)\n", + " cube[j+4] = cube[j+4] * 1\n", + " j += 5\n", + " if modelBeingMapped == 'uniform':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j])\n", + " j += 2\n", + "\n", + " return" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Likelihood Function\n", + "\n", + "Here we impliment the likelihood function given by *Equation 11*.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def likelihood(cube, ndim, nparams):\n", + " \n", + " # Create lists of the parameters for each model. Model1 has parameters in cube from 0 to ndim1-1, Model2 has parameters in cube from ndim1 to ndim-1.\n", + " paramList1 = [cube[i] for i in range(ndim1)]\n", + " paramList2 = [cube[i] for i in range(ndim1, ndim)]\n", + " \n", + " # Initial list to contain the sum of the products of the probability for each m_r and m_s sample in their respective models.\n", + " pdfProductSumList = []\n", + " \n", + " # For the m_r and m_s pairs in each BNS system. (eg. 1000x2)\n", + " for massSample in massSamples:\n", + " \n", + " # Evaluate the PDF function down the m_r and m_s samples of the BNS\n", + " mrProbabilities = modelEval1(paramList1, massSample[:,0])\n", + " msProbabilities = modelEval2(paramList2, massSample[:,1])\n", + " \n", + " # Evaluate the product of the m_r and m_s probability for each pair.\n", + " probabilityProduct = mrProbabilities*msProbabilities\n", + " \n", + " # Append the sum over all the probability products of each pair.\n", + " pdfProductSumList.append(np.sum(probabilityProduct))\n", + " \n", + " # If either the m_r or the m_s samples are completely outside their model then return a log-likelihood of -inf.\n", + " if 0 in pdfProductSumList:\n", + " #print(\"Zero probability value - Parameters: {}, {}\".format(paramList1,paramList2))\n", + " return -np.inf\n", + " \n", + " # The log-likelihood is the log of the normalised sum over the log of each pdfProductSum\n", + " loglikelihood = nMeasurements * np.log(1.0/nSamples) + np.sum(np.log(pdfProductSumList))\n", + " return loglikelihood" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference\n", + "\n", + "## Hypothesis #1, that recycled NS distribution is two-Gaussian (bimodal) and non-recycled is uniform.\n", + "\n", + "This sampling can be quite computationally expensive, sampling speed can be an issue particularly inside Jupyter notebooks. Therefore for this demonstration the number of livepoints is reduced to 500. If this takes too long try 100 livepoints which should take 10-15 minutes. However reducing the livepoints will result in less continuous and more jagged posterior distributions.\n", + "\n", + "\n", + "Unfortunately the ouput from pymultinest is directed to the terminal (where jupyter is started), so it can not be seen in this notebook. However an example of the output is given below:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "modelName1, modelEval1, ndim1, paramNames1 = models.twoGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.uniformList\n", + "\n", + "# Define the total number of hyperparameters\n", + "ndimHyp1 = ndim1 + ndim2\n", + "\n", + "### Inference\n", + "# Directory to send output to. Create it if it does not exist.\n", + "directoryNameHyp1 = 'Demo Files/hypo1/' + modelName1[:4] + \"/\" + modelName2[:4]\n", + "if not os.path.exists(directoryNameHyp1):\n", + " os.makedirs(directoryNameHyp1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Uncomment this cell if you wish to run the sampling. NOTE: This may take a while!**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "#pmObject = pymultinest.run(likelihood, prior, ndimHyp1, n_live_points=500, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryNameHyp1 + '/', verbose=True, resume=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "egOutput = '''\n", + "*****************************************************\n", + "MultiNest v3.10\n", + "Copyright Farhan Feroz & Mike Hobson\n", + "Release Jul 2015\n", + "\n", + "no. of live points = 100\n", + "dimensionality = 7\n", + "resuming from previous job\n", + "*****************************************************\n", + "Starting MultiNest\n", + "generating live points\n", + "live points generated, starting sampling\n", + "Acceptance Rate: 0.955414\n", + "Replacements: 150\n", + "Total Samples: 157\n", + "Nested Sampling ln(Z): -6.272028\n", + "Acceptance Rate: 0.271370\n", + "Replacements: 400\n", + "Total Samples: 1474\n", + "Nested Sampling ln(Z): 10.303706\n", + "'''" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2, that recycled & non-recycled are both single-Gaussian distributions. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "modelName1, modelEval1, ndim1, paramNames1 = models.singleGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.singleGaussianList\n", + "\n", + "# Define the total number of hyperparameters\n", + "ndimHyp2 = ndim1 + ndim2\n", + "\n", + "### Inference\n", + "# Directory to send output to. Create it if it does not exist.\n", + "directoryNameHyp2 = 'Demo Files/hypo2/' + modelName1[:4] + \"/\" + modelName2[:4]\n", + "if not os.path.exists(directoryNameHyp2):\n", + " os.makedirs(directoryNameHyp2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Uncomment this cell if you wish to run the sampling. NOTE: This may take a while!**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "#pmObject = pymultinest.run(likelihood, prior, ndimHyp2, n_live_points=500, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryNameHyp2 + '/', verbose=True, resume=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from Demo Files/hypo1/twoG/unif/.txt\n", + " analysing data from Demo Files/hypo2/sing/sing/.txt\n", + "For Hypothesis 1 we find a log-Bayes Evidence: 24.2533062226\n", + "For Hypothesis 2 we find a log-Bayes Evidence: 19.4291942354\n", + "\n", + "Here we have shown that Hypothesis 1 (two-Gaussian recycled, uniform non-recycled) is strongly favoured\n", + "over the alternative hypothesis (single-gaussian distributions) with a Bayes Factor of 121.5, (log-BF: 4.8)\n", + "\n" + ] + } + ], + "source": [ + "# We load the results for each hypothesis which were created by pymultinest\n", + "hyp1Res = pymultinest.analyse.Analyzer(ndimHyp1, outputfiles_basename=directoryNameHyp1 + '/')\n", + "hyp1Stats = hyp1Res.get_stats()\n", + "hyp2Res = pymultinest.analyse.Analyzer(ndimHyp2, outputfiles_basename=directoryNameHyp2 + '/')\n", + "hyp2Stats = hyp2Res.get_stats()\n", + "\n", + "print(\"For Hypothesis 1 we find a log-Bayes Evidence: {}\".format(hyp1Stats['global evidence']))\n", + "print(\"For Hypothesis 2 we find a log-Bayes Evidence: {}\".format(hyp2Stats['global evidence']))\n", + "\n", + "logBF = np.round(hyp1Stats['global evidence'] - hyp2Stats['global evidence'], 1)\n", + "\n", + "print(\n", + "\"\"\"\n", + "Here we have shown that Hypothesis 1 (two-Gaussian recycled, uniform non-recycled) is strongly favoured\n", + "over the alternative hypothesis (single-gaussian distributions) with a Bayes Factor of {}, (log-BF: {})\n", + "\"\"\".format(np.round(np.exp(logBF), 1), logBF))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## We can also explore the parameter posteriors to view their distributions:\n", + "We make use of a library called corner plots which allows us to create corner plots, showing joint distributions which allows us to view slices of the sampling parameter space." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# We import plotting tools\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Corner module provides great visualisations for our purpose.\n", + "import corner\n", + "\n", + "\n", + "def cornerPlot(samples, bounds, parameterNames):\n", + " plt.rcParams.update({'font.size': 15})\n", + " return corner.corner(samples, bins=50, smooth=0.9, label_kwargs=dict(fontsize=16), show_titles=True, range=bounds, title_kwargs=dict(fontsize=16), color='#3fcca6', labels=parameterNames, plot_density=False, plot_datapoints=True, fill_contours=True, max_n_ticks=5)\n", + "\n", + "hyp1Posterior = np.asarray([param for param in hyp1Res.get_equal_weighted_posterior()])\n", + "hyp2Posterior = np.asarray([param for param in hyp2Res.get_equal_weighted_posterior()])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2 Posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 698.4x698.4 with 16 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We have to reset the model information back to hypothesis 2 information\n", + "modelName1, modelEval1, ndim1, paramNames1 = models.singleGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.singleGaussianList\n", + "paramNames1 = [r'$m_r$ ' + pName for pName in paramNames1]\n", + "paramNames2 = [r'$m_s$ ' + pName for pName in paramNames2]\n", + "\n", + "cornerPlt = cornerPlot(hyp2Posterior[:,:ndim1 + ndim2], bounds=[[1.3,1.6],[0,0.5], [1.2,1.4],[0,0.5]], parameterNames=paramNames1+paramNames2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Posterior Predictive Distributions (PPD)\n", + "\n", + "The goal is to now summarise the findings into a mass distributions from our inference sampling.\n", + "\n", + "We can see above that some parameter distributions cover a wide range of possible values. It would be unwise to take take the maximum likelihood parameters or the mode parameters (maximum a posteriori (MAP) estimate), as this would ignore the uncertainties within each parameter.\n", + "\n", + "Instead we take another approach by creating a posterior predictive distibution:\n", + "See paper or https://en.wikipedia.org/wiki/Posterior_predictive_distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def postPredDist(model1List, model2List, hypPost, plotrange=[0.8, 2], thinningFactor=10):\n", + " paramList = hypPost[:,:-1].tolist()\n", + " \n", + " # Randomly take totalSamples/thinningFactor sets of the hyperparameters from the posterior.\n", + " drawnParams = [random.choice(paramList) for i in range(len(paramList)/thinningFactor)]\n", + " \n", + " # Here we are creating two PPDs, one for recycled NS and one for non recycled NS.\n", + " # We need to keep track of whether we are looking at reclyed or non-reclyed model parameters.\n", + " paramsPassed = 0\n", + " \n", + " titleList = [r'Recycled NS Posterior Predictive Distribution $m_r$ - {}', r' Non-Recyled Posterior Predictive Distribution $m_s$ - {}']\n", + " \n", + " # Loop over each model for recycled and non-recycled\n", + " for index, (modelName, modelEval, ndim, paramNames) in enumerate([model1List, model2List]):\n", + " \n", + " # X-axis plot range\n", + " xValues = np.linspace(plotrange[0], plotrange[1], 10000)\n", + " plt.xlim(plotrange[0], plotrange[1])\n", + " \n", + " # For each set of hyperparameters we evaluate the function they describe.\n", + " yValueList = []\n", + " for params in drawnParams:\n", + " yValues = modelEval(params[paramsPassed:paramsPassed + ndim], xValues)\n", + " yValueList.append(yValues)\n", + " \n", + " # We incriment paramsPassed by the number of parameters belonging to this model.\n", + " paramsPassed += ndim\n", + " \n", + " # We turn these function values into an array and then take the mean of each function value at each x.\n", + " yValueArray = np.asarray(yValueList)\n", + " meanyValues = np.mean(yValueArray, axis=0)\n", + "\n", + " plt.title(titleList[index].format(modelName))\n", + " plt.plot(xValues, meanyValues)\n", + " plt.show()\n", + " \n", + " return" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #1 PPD" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "postPredDist(models.twoGaussianList, models.uniformList, hyp1Posterior)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2 PPD" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "postPredDist(models.singleGaussianList, models.singleGaussianList, hyp2Posterior)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Demo Files/Inference Demo.ipynb b/Demo Files/Inference Demo.ipynb @@ -0,0 +1,576 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference on the Mass Distribution of Galactic Double Neutron Stars\n", + "In this demo we investigate mass distribution models under the hypothesis that Recycled and Non-recycled neautron stars have differing mass distributions. We compare two sub-hypotheses for the mass distribution of *recycled (fast)* and *non-recycled (slow)* Neutron Stars from Galactic Double Neutron Star (DNS) systems. The sub-hypotheses we compare are:\n", + "\n", + "1. Recycled NS distribution is two-Gaussian (bimodal) and non-recycled is uniform. (Most favoured hypothesis in our findings)\n", + "2. Recycled & non-recycled are both single-Gaussian distributions. (Conventional)\n", + "\n", + "However this code can easily be altered to compare any other two sub-hypotheses by changing the models investigated through replacing occurences of:\n", + "> models.uniformList\n", + ">\n", + "> models.___________List\n", + "\n", + "into models of your choosing. Infact you can investigate your own models by writing a function in models.py (as long as you introduce an appropriate prior!)\n", + "\n", + "### Requirements (Imports)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# We require functions for uniform, truncated gaussian, and truncated two-gaussian models.\n", + "import models\n", + "\n", + "# We sample using pymultinest\n", + "import pymultinest\n", + "\n", + "# Useful librarys for mathematical operations\n", + "import numpy as np\n", + "from scipy import stats\n", + "from scipy.special import erf\n", + "import random\n", + "\n", + "# Filesystem operations\n", + "import os\n", + "import sys" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We also load the mass samples:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Load DNS mass samples\n", + "bothMassSamples = np.load('Samples/bothMassSamples.npy')\n", + "# For each DNS, pulsar & companion samples are grouped in pairs.\n", + "# Creates array of shape like (17x10000x2) (17 DNSs x 10000 observation samples x 2 (pulsar + companion))\n", + "\n", + "# Only use 200 samples for faster sampling\n", + "massSamples = bothMassSamples[:,:200,:]\n", + "\n", + "# Define the nMeasurements and nSamples per mass measurement\n", + "nSamples, nMeasurements = len(massSamples[0]), len(massSamples)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Prior\n", + "\n", + "Here we define prior used in this hypothesis. In this demo as we are exploring sub-hypotheses between **pairs of models**, therefore we run PyMultiNest with a set of hyperparameters which contains the parameters describing both models." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def prior(cube, ndim, nparams):\n", + " # cube is initially a unit hypercube which is to be mapped onto the relevant prior space.\n", + " \n", + " # j is the hyperparameter index. We map the priors beginning with the parameters of model1,\n", + " # and then incriment j by the number of parameters in that model1. Then mapping\n", + " # the parameters of the next model2.\n", + " j = 0\n", + " \n", + " # Loop over both models in the sub-hypothesis.\n", + " for modelBeingMapped in [modelName1, modelName2]:\n", + " if modelBeingMapped == 'singleGaussian':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = 0.005 + cube[j+1] * (0.5 - 0.005)\n", + " j += 2\n", + " if modelBeingMapped == 'twoGaussian':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j])\n", + " cube[j+2] = 0.005 + cube[j+2] * (0.5 - 0.005)\n", + " cube[j+3] = 0.005 + cube[j+3] * (0.5 - 0.005)\n", + " cube[j+4] = cube[j+4] * 1\n", + " j += 5\n", + " if modelBeingMapped == 'uniform':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j])\n", + " j += 2\n", + "\n", + " return" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Likelihood Function\n", + "\n", + "Here we impliment the likelihood function given by *Equation 11*.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def likelihood(cube, ndim, nparams):\n", + " \n", + " # Create lists of the parameters for each model. Model1 has parameters in cube from 0 to ndim1-1, Model2 has parameters in cube from ndim1 to ndim-1.\n", + " paramList1 = [cube[i] for i in range(ndim1)]\n", + " paramList2 = [cube[i] for i in range(ndim1, ndim)]\n", + " \n", + " # Initial list to contain the sum of the products of the probability for each m_r and m_s sample in their respective models.\n", + " pdfProductSumList = []\n", + " \n", + " # For the m_r and m_s pairs in each BNS system. (eg. 1000x2)\n", + " for massSample in massSamples:\n", + " \n", + " # Evaluate the PDF function down the m_r and m_s samples of the BNS\n", + " mrProbabilities = modelEval1(paramList1, massSample[:,0])\n", + " msProbabilities = modelEval2(paramList2, massSample[:,1])\n", + " \n", + " # Evaluate the product of the m_r and m_s probability for each pair.\n", + " probabilityProduct = mrProbabilities*msProbabilities\n", + " \n", + " # Append the sum over all the probability products of each pair.\n", + " pdfProductSumList.append(np.sum(probabilityProduct))\n", + " \n", + " # If either the m_r or the m_s samples are completely outside their model then return a log-likelihood of -inf.\n", + " if 0 in pdfProductSumList:\n", + " #print(\"Zero probability value - Parameters: {}, {}\".format(paramList1,paramList2))\n", + " return -np.inf\n", + " \n", + " # The log-likelihood is the log of the normalised sum over the log of each pdfProductSum\n", + " loglikelihood = nMeasurements * np.log(1.0/nSamples) + np.sum(np.log(pdfProductSumList))\n", + " return loglikelihood" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference\n", + "\n", + "## Hypothesis #1, that recycled NS distribution is two-Gaussian (bimodal) and non-recycled is uniform.\n", + "\n", + "This sampling can be quite computationally expensive, sampling speed can be an issue particularly inside Jupyter notebooks. Therefore for this demonstration the number of livepoints is reduced to 500. If this takes too long try 100 livepoints which should take 10-15 minutes. However reducing the livepoints will result in less continuous and more jagged posterior distributions.\n", + "\n", + "\n", + "Unfortunately the ouput from pymultinest is directed to the terminal (where jupyter is started), so it can not be seen in this notebook. However an example of the output is given below:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "modelName1, modelEval1, ndim1, paramNames1 = models.twoGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.uniformList\n", + "\n", + "# Define the total number of hyperparameters\n", + "ndimHyp1 = ndim1 + ndim2\n", + "\n", + "### Inference\n", + "# Directory to send output to. Create it if it does not exist.\n", + "directoryNameHyp1 = 'hypo1/' + modelName1[:4] + \"/\" + modelName2[:4]\n", + "if not os.path.exists(directoryNameHyp1):\n", + " os.makedirs(directoryNameHyp1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Run pymultinest sampling\n", + "pmObject = pymultinest.run(likelihood, prior, ndimHyp1, n_live_points=500, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryNameHyp1 + '/', verbose=True, resume=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "egOutput = '''\n", + "*****************************************************\n", + "MultiNest v3.10\n", + "Copyright Farhan Feroz & Mike Hobson\n", + "Release Jul 2015\n", + "\n", + "no. of live points = 100\n", + "dimensionality = 7\n", + "resuming from previous job\n", + "*****************************************************\n", + "Starting MultiNest\n", + "generating live points\n", + "live points generated, starting sampling\n", + "Acceptance Rate: 0.955414\n", + "Replacements: 150\n", + "Total Samples: 157\n", + "Nested Sampling ln(Z): -6.272028\n", + "Acceptance Rate: 0.271370\n", + "Replacements: 400\n", + "Total Samples: 1474\n", + "Nested Sampling ln(Z): 10.303706\n", + "'''" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2, that recycled & non-recycled are both single-Gaussian distributions. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "modelName1, modelEval1, ndim1, paramNames1 = models.singleGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.singleGaussianList\n", + "\n", + "# Define the total number of hyperparameters\n", + "ndimHyp2 = ndim1 + ndim2\n", + "\n", + "### Inference\n", + "# Directory to send output to. Create it if it does not exist.\n", + "directoryNameHyp2 = 'hypo2/' + modelName1[:4] + \"/\" + modelName2[:4]\n", + "if not os.path.exists(directoryNameHyp2):\n", + " os.makedirs(directoryNameHyp2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Run pymultinest sampling\n", + "pmObject = pymultinest.run(likelihood, prior, ndimHyp2, n_live_points=500, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryNameHyp2 + '/', verbose=True, resume=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from hypo1/twoG/unif/.txt\n", + " analysing data from hypo2/sing/sing/.txt\n", + "For Hypothesis 1 we find a log-Bayes Evidence: 24.2533062226\n", + "For Hypothesis 2 we find a log-Bayes Evidence: 19.4291942354\n", + "\n", + "Here we have shown that Hypothesis 1 (two-Gaussian recycled, uniform non-recycled) is strongly favoured\n", + "over the alternative hypothesis (single-gaussian distributions) with a Bayes Factor of 121.5, (log-BF: 4.8)\n", + "\n" + ] + } + ], + "source": [ + "# We load the results for each hypothesis which were created by pymultinest\n", + "hyp1Res = pymultinest.analyse.Analyzer(ndimHyp1, outputfiles_basename=directoryNameHyp1 + '/')\n", + "hyp1Stats = hyp1Res.get_stats()\n", + "hyp2Res = pymultinest.analyse.Analyzer(ndimHyp2, outputfiles_basename=directoryNameHyp2 + '/')\n", + "hyp2Stats = hyp2Res.get_stats()\n", + "\n", + "print(\"For Hypothesis 1 we find a log-Bayes Evidence: {}\".format(hyp1Stats['global evidence']))\n", + "print(\"For Hypothesis 2 we find a log-Bayes Evidence: {}\".format(hyp2Stats['global evidence']))\n", + "\n", + "logBF = np.round(hyp1Stats['global evidence'] - hyp2Stats['global evidence'], 1)\n", + "\n", + "print(\n", + "\"\"\"\n", + "Here we have shown that Hypothesis 1 (two-Gaussian recycled, uniform non-recycled) is strongly favoured\n", + "over the alternative hypothesis (single-gaussian distributions) with a Bayes Factor of {}, (log-BF: {})\n", + "\"\"\".format(np.round(np.exp(logBF), 1), logBF))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## We can also explore the parameter posteriors to view their distributions:\n", + "We make use of a library called corner plots which allows us to create corner plots, showing joint distributions which allows us to view slices of the sampling parameter space." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "import corner\n", + "\n", + "\n", + "def cornerPlot(samples, bounds, parameterNames):\n", + " plt.rcParams.update({'font.size': 15})\n", + " return corner.corner(samples, bins=50, smooth=0.9, label_kwargs=dict(fontsize=16), show_titles=True, range=bounds, title_kwargs=dict(fontsize=16), color='#3fcca6', labels=parameterNames, plot_density=False, plot_datapoints=True, fill_contours=True, max_n_ticks=5)\n", + "\n", + "hyp1Posterior = np.asarray([param for param in hyp1Res.get_equal_weighted_posterior()])\n", + "hyp2Posterior = np.asarray([param for param in hyp2Res.get_equal_weighted_posterior()])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2 Posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 698.4x698.4 with 16 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We have to reset the model information back to hypothesis 2 information\n", + "modelName1, modelEval1, ndim1, paramNames1 = models.singleGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.singleGaussianList\n", + "paramNames1 = [r'$m_r$ ' + pName for pName in paramNames1]\n", + "paramNames2 = [r'$m_s$ ' + pName for pName in paramNames2]\n", + "\n", + "cornerPlot(hyp2Posterior[:,:ndim1 + ndim2], bounds=[[1.3,1.6],[0,0.5], [1.2,1.4],[0,0.5]], parameterNames=paramNames1+paramNames2).show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #1 Posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1152x1152 with 49 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We have to reset the model information back to hypothesis 1 information\n", + "modelName1, modelEval1, ndim1, paramNames1 = models.twoGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.uniformList\n", + "paramNames1 = [r'$m_r$ ' + pName for pName in paramNames1]\n", + "paramNames2 = [r'$m_s$ ' + pName for pName in paramNames2]\n", + "\n", + "cornerPlot(hyp1Posterior[:,:ndim1 + ndim2], bounds=[[1.3,1.4],[1.3,1.75],[0,0.5],[0,0.5],[0,1], [1,1.3], [1.2,1.6]], parameterNames=paramNames1+paramNames2).show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Posterior Predictive Distributions (PPD)\n", + "\n", + "The goal is to now summarise the findings into a mass distributions from our inference sampling.\n", + "\n", + "We can see above that some parameter distributions cover a wide range of possible values. It would be unwise to take take the maximum likelihood parameters or the mode parameters (maximum a posteriori (MAP) estimate), as this would ignore the uncertainties within each parameter.\n", + "\n", + "Instead we take another approach by creating a posterior predictive distibution:\n", + "See paper or https://en.wikipedia.org/wiki/Posterior_predictive_distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "def postPredDist(model1List, model2List, hypPost, plotrange=[0.8, 2], thinningFactor=10):\n", + " paramList = hypPost[:,:-1].tolist()\n", + " \n", + " # Randomly take totalSamples/thinningFactor sets of the hyperparameters from the posterior.\n", + " drawnParams = [random.choice(paramList) for i in range(len(paramList)/thinningFactor)]\n", + " \n", + " # Here we are creating two PPDs, one for recycled NS and one for non recycled NS.\n", + " # We need to keep track of whether we are looking at reclyed or non-reclyed model parameters.\n", + " paramsPassed = 0\n", + " \n", + " titleList = [r'Recycled NS Posterior Predictive Distribution $m_r$ - {}', r' Non-Recyled Posterior Predictive Distribution $m_s$ - {}']\n", + " \n", + " # Loop over each model for recycled and non-recycled\n", + " for index, (modelName, modelEval, ndim, paramNames) in enumerate([model1List, model2List]):\n", + " \n", + " # X-axis plot range\n", + " xValues = np.linspace(plotrange[0], plotrange[1], 10000)\n", + " plt.xlim(plotrange[0], plotrange[1])\n", + " \n", + " # For each set of hyperparameters we evaluate the function they describe.\n", + " yValueList = []\n", + " for params in drawnParams:\n", + " yValues = modelEval(params[paramsPassed:paramsPassed + ndim], xValues)\n", + " yValueList.append(yValues)\n", + " \n", + " # We incriment paramsPassed by the number of parameters belonging to this model.\n", + " paramsPassed += ndim\n", + " \n", + " # We turn these function values into an array and then take the mean of each function value at each x.\n", + " yValueArray = np.asarray(yValueList)\n", + " meanyValues = np.mean(yValueArray, axis=0)\n", + "\n", + " plt.title(titleList[index].format(modelName))\n", + " plt.plot(xValues, meanyValues)\n", + " plt.show()\n", + " \n", + " return" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #1 PPD" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZHU64s/SxhN5h2d2uS+Lu6y3cwyFXg+sLgZlm9jtCdUMfoTj4DMKVxWVRm6NK+TLwVkK32MMIO/OhhKvuZWwL3KYBa6J8PUAo1duT0DNuE6EOOe1eQnfVT5lZJ6HdzdPufg+lbYNqLctkMJH7YrHHzFjbbSyXEqq9v0ZodHn1OJd3LIeZ2Tujz5l3tN4jWq4zCkxfqf24XOuBe8zsJ9H3dxPWwTlZDbZvIuyzn7NwP5unCUHfK9lxm5eazwk7TsxsBmH5fplj8GHAOnfPbkeWrwTpMOAKd/92pfKXodA6vC0afgDh4h0Ad19qZi8QSvv+4jveyqDode3u/Wb2BkJPvKss3DMofeuLdsI9jE4nBBOZ6+zXhJsCX29mV0XjnkHuu0cXu18Ve5yUcjxlKyXfleHFdUU8ljG6uhJ2ghRwa0ZaEvgQYUfqjV5PEq5IT8iavolQFPgo4cS3OZruA3l+7+YoP+8aI88F50mOLoBl5H13wobrjl7XEK5QVlJGl/ysYS2EIl1n+y75JxBuh/AgYScdITQku5XQy6luPL+bZ/zZhB5uzxF2yOeiPMzKGKeBsAP/NcrPYLQefgzsm2Oe/0Qo0UrfXuCSUrcBJXY1LnZZCs27Euu1mPlXY18cY70UdRzm22755puxb2yIhl9cieUdY92nXylCAPYoISg7scB0Z1VyPy5138wY/7WE3ovPRL/9MFnd1DOm2Y9wb6e+aHv9klB1vt02L2e7UYHjhOiRGAW22/HR9G/PMWwNcEOO9HSX7N2y0p8BTi72eC31lW8dZgy/jxz/TdH+68D/5JlvUes6Y/xmQu+yWwn/AcPR9l9CCKL2zxo/QSipWh7tU6ui8Q6I8nV+qfsVRR4nJYy3w35YSr7Hux+mXxZNECtmdh3hCni+F3hOmIiI7PwsdNVeRwgkNtQ6PxJPlWhTNKHMbB9Cm6KCD04VEZEp4zBglQIiGY9adNssi5kdQSgy+xCh6PJrtc2RiIhMIoeS1SBbpFSxqT6z8PDCMwndE8/zCj/zS0RERKa22ARFIiIiItUUm+ozGb9Zs2b5woULa50NEZFYue+++9a7e/ZjQWQnpKBoClm4cCFLliypdTZERGLFzFbVOg8yMWLX+0xERESkGhQUiYiIiKCgSERERARQUCQiIiICKCgSERERARQUiYiIiAAKikREREQABUUiMg6Prenm1mUv1jobIiIVoaBIRMp22nfv4t0/uZfugeFaZ0VEZNwUFIlIWfqHUvQPpwBYurq7xrkRERk/BUUiUpan1/du/fzMhr4a5kREpDIUFIlIWdb3DG79/NwmBUUiEn8KikSkLBt7h7Z+Xp/xWUQkrhQUiUhZ0iVFc6Y1siGj1EhEJK4UFIlIWTb2DpGoM/ac1cqGHpUUiUj8KSgSkbJs7B1iRmsDs6c1skHVZyKyE1BQJCJl6eofpqO5npmtDao+E5GdgoIiESlL/3CKloYE7c319AyOMDrqtc6SiMi4KCgSkbL0DaVoqk/Q3lTPqEPv0EitsyQiMi4KikSkLANbS4qSAHQPKCgSkXhTUCQiZekfStEclRQBbNHzz0Qk5hQUiUhZ+qKgaFoUFHX3q6RIROJNQVGFmdk+ZvYDM3vIzFJmdlvW8Hlm9hUze9DMeszsWTO71MzmFzHv883Mc7xOrNoCieQxMJyiObP6rF8lRSISb8laZ2AndBBwMvAXoD7H8MOBU4EfAvcAc4HzgbvM7CXu3lNg/l1AdhD02HgyLFKO/uHtq8+6VX0mIjGnoKjyrnH33wKY2a+BWVnD7wQWufvWugYzux9YBrwZuLTA/Efc/S8VzK9Iydx9uy75AFvU0FpEYk5BUYW5+2iB4ZtzpD1hZn1AwSo0kclgcGQUd2hqSDCtSdVnIrJzUJuiScDMDgFagCeKGH26ma03s2Eze8DMTqty9kR20DeUAqC5PkF9oo7m+oSqz0Qk9hQU1ZiZ1QHfBJ4Efldg9OXAecBbCVVtq4ErxwqMzOxcM1tiZkvWrVtXoVzLVNc/HIKiloYEAK2NSXoGVX0mIvGm6rPa+yJwJHCMu495qe3ul2d+N7NrgLuA/wSuyjPNRcBFAIsXL9ZzGKQi+qOSoqb6EBS1NSboHUzVMksiIuOmkqIaMrMPAB8H/snd7yl1end3QjB0iJklKp0/kXz6M6rPIJQU9aqkSERiTkFRjZjZm4FvA+e5+/+NY1YevUQmzLbqs1DYrOozEdkZKCiqATM7FvgZ8G13/+o45mOEtkUPurvqLmTCpIOi5oZwCmlrTOqBsCISe2pTVGFm1kK4eSPAAqDdzN4Sfb8O2AO4Gngc+D8ze2XG5OvcfUU0n2OAm4Hj3f32KO124Mpo2lbgvcARwJuqulAiWfqjAKgps/psveJyEYk3BUWVNwf4VVZa+vuehCCmA3gpoZF0pkuBs6LPBiSi97TlwL8C84BR4H7gDe5+fYXyLlKU7OqztsaEqs9EJPYUFFWYu69k+0Am2yXRq9B8bsuej7ufXX7ORCqnfyjco3RrQ+sGNbQWkfhTmyIRKVlfVH3WnHGfor6hFKOjavMvIvGloEhESjYwvH2X/LbGUOisxtYiEmcKikSkZP3DKRJ1Rn0i1PC2NIbgSDdwFJE4U1AkIiXrG0rRUp8g3BViW0mRGluLSJwpKBKRkg0Mp2hq2HYT9daoF5oaW4tInCkoEpGS9Q2ltrYngtDQGhQUiUi8KSgSkZL1D6VoySgpUvWZiOwMFBSJSMn6h1Nb72YN0JpuaK3eZyISYwqKRKRk/VnVZ9tKitT7TETiS0GRiJSsf3j76rN0m6I+VZ+JSIwpKBKRkvVn9T5raUhgpobWIhJvCopEpGT90X2K0syM1oakqs9EJNYUFIlIyfqHU1ufe5bW2phQSZGIxJqCIhEpWXZDawg3cOxR7zMRiTEFRSJSktSoMzgymqOkKKmSIhGJNQVFIlKSgeHQbmiHkiJVn4lIzCkoEpGS9A1FQVFWSVFboxpai0i8KSgSkZLkLylS9ZmIxJuCIhEpSf9w7pIiBUUiEncKikSkJFurz7JKiqY1JvVAWBGJNQVFIlKS/jxtilobkwyOjDKcGq1FtkRExk1BkYiUJF+bovRDYVWFJiJxpaBIREqSrj5raUhul54OirYMKCgSkXhSUFQFZraPmf3AzB4ys5SZ3ZZjHDOzT5rZs2bWb2Z3mNnLipz/G83sYTMbMLOlZnZ6xRdCJI/+fCVFTVFJke5qLSIxpaCoOg4CTgaWAU/kGeffgc8AFwCnAD3ATWa2y1gzNrOjgCuBW4GTgN8DPzezEyqTdZGxpYOipobtTx+tUUlRj0qKRCSmFBRVxzXuvpu7vxV4NHugmTURgqIvuvv/uvtNwFsBBz5YYN6fAe5w9w+5+63u/nHgD8B/VnYRRHLrj0qC8lWfqQeaiMSVgqIqcPdC3W9eBbQDv8yYphe4hlD6k5OZNQKvyZwu8gvgSDPrKCvDIiXoHwq7d1Ny+9OHgiIRiTsFRbWxCEgBT2alPxYNy2dvoB54PMd0dcB+lcqgSD59wyM0JOpIJrKCoib1PhOReFNQVBudQI+7Zz8oahPQYmYNY0wHsDnHdJnDtzKzc81siZktWbduXdkZFkkbGErtcI8igLYG9T4TkXhTULSTc/eL3H2xuy+ePXt2rbMjO4H+4dQOPc8AWhtDWq8eCisiMaWgqDY2AW1mlv3P0gn0ufvQGNMBZLcd6swaLlI1fUMpWnKUFCUTdTTV19EzOFyDXImIjJ+Cotp4HEgA+2SlL2LH9kKZVgDD7NjuaBEwSv7u/yIVMzCcoilHSRFAW2M9PSopEpGYUlBUG3cB3YRu+ACYWQvhfkXX55vI3QcJ9yd6a9ag04G73b2r8lkV2V7/cO42RQDTmvRQWBGJr2ThUaRUUYBzcvR1AdBuZm+Jvl/n7n1m9iXgM2a2iVA69FFCkPrtjPmcCfwY2NvdV0XJnwduM7NvAFdHv3MycGKVF0sECNVn6e732VobE+p9JiKxpaCoOuYAv8pKS3/fE1gJfIkQBP0HMBNYArzO3ddmTFNHqGazdIK73xkFWP8NvB94GjjD3W+s/GKI7Kh/KMWstsacw9oak7qjtYjEloKiKnD3lWQEMnnGceB/ole+cS4BLsmRfjWhlEhkwg3k6X0GIShavXlggnMkIlIZalMkIiXJ1/sMopIiVZ+JSEwpKBKRkvSP0fustTGpNkUiElsKikSkJANj9D5ra0qyRUGRiMSUgiIRKdpwapThlNOSr01RQ5KhkVGGRgo9E1lEZPJRUCQiResfDjdmHKukCPRQWBGJJwVFIlK0/qGxg6LW6P5FamwtInGkoEhEirY1KMpTfTZNQZGIxJiCIhEpWl8UFOXrkp8uKVL1mYjEkYIiESla/3AIdpobct/3Nd2mSD3QRCSOFBSJSNH6ClSftamkSERiTEGRiBStUPVZOijS889EJI4UFIlI0dT7TER2ZgqKRKRoRZcUKSgSkRhSUCQiResbCsFOS33uhtaJOqO5PqE2RSISSwqKRKRoharPIPRAU0mRiMSRgiIRKVr/cIpkndGQzH/qaGtM0jOYmsBciYhUhoIiESla31BqzFIiiIKigeEJypGISOUoKBKRovUPpfI2sk5ra0yyRV3yRSSGFBSJSNH6hlO05LmbdVp7s4IiEYknBUUiUrT+oRGa8tzNOq29qZ5uVZ+JSAwpKBKRovUVUX3W3lxPd7+CIhGJHwVFIlK0ooKipnp6h1KMpEYnKFciIpWhoEhEitY/lMr7MNi09ubQ5kjtikQkbhQU1YiZ3WZmnud1ZJ5pFuYZ/xcTnX+ZmvqGR4oqKQIFRSISP2N3I5Fq+gDQnpX2OeBQ4N4C034M+HPG9/UVzJdIXv1DKZoL9j4LQZEaW4tI3CgoqhF3X5r53cwagMXA/7l7oUvsZe7+l6plTiSP4toUhdOKGluLSNyo+mzyOBHoBH5e64yI5OLu9A8X1/sMVFIkIvGjoGjyeBvwHPCnIsb9iZmlzGyNmX3dzJqrnDcRBkdGcR/7YbCQERT1q02RiMSLqs8mATNrAf4B+IG7+xijDgLfAW4EuoFjgU8AewNvzDPvc4FzAXbffffKZVqmnL6h8JDXloI3b4yqz1RSJCIxo6BocjgFaKVA1Zm7rwE+mJF0m5mtBb5rZi919wdzTHMRcBHA4sWLxwq4RMbUOxhKfgo95qO1IYmZ2hSJSPyo+mxyeBuw3N2XlDHtr6P3wyuYH5Ed9A6FoKitaeygqK7OmNaYpFtd8kUkZhQU1ZiZdQAnUX4Da896F6mKnijIaW0sXMCsR32ISBwpKKq9U4FGyg+K3hK931eZ7Ijk1hNVn7UVExTpobAiEkNqU1R7bwMedPfHsgeY2XLgdnc/O/p+PjCNcOPGbuBo4OPAVe7+0ITlWKakkoKi5qR6n4lI7KikqIbMbBZwPJDvMR1JILOrz+PAMcBPgOuAM4CvRO8iVZVuaF2oTRGopEhE4kklRTXk7uuB+jGGL8z6/gvyB1AiVZV+lllbgd5noDZFIhJPKikSkaL0Dob7FLU2jn2fIkiXFKn6TETiRUGRiBSlZ3CYpvo6konCp4325iQ9gyOkRtUpUkTiQ0GRiBSlZzBFW2Pe2t7ttDeF8XpUWiQiMaKgSESK0jM4QlsRVWegh8KKSDwpKBKRovQOjhTV8wy2Pf9sc5+CIhGJDwVFIlKUnsERWovoeQbQ2doAwKa+oWpmSUSkohQUiUhRegZGmFZkSVFnS6g+U1AkInGioEhEitI7NFLUc88ApreEkiJVn4lInCgoEpGi9AyMFPWID4DpzSopEpH4UVAkIkUJvc+KC4qSiTqmNSVVUiQisaKgSEQKGhoZZXBktOigCKCzpUElRSISKwqKRKSg9P2GOlqKu3kjhMbWm1RSJCIxoqBIRArqih7u2tFcfFA0vaWBzSopEpEYUVAkIgWlg6L2EoKiUFKkoEhE4kNBkYgUVHZJUa+qz0QkPhQUiUhB3emSoqZSSooa2DI4wnBqtFrZEhGpKAVFIlJQOSVFna1hXHXLF5G4UFAkIgV19ZVXfQaosbWIxIaCIhEpqKt/mOb6BA3J4k8Z255/ppIiEYkHBUUiUlD3wHBJpUQQ2hSfcKnXAAAa/klEQVSBHvUhIvGhoEhECurqLz0omt6SblOkoEhE4kFBkYgUVE5QNKM1lBRtVLd8EYkJBUU1YmZnmZnneL2vwHQdZvYTM9tkZl1m9jMzmzlR+Zapqat/hPbm4p97BtDSkKSlIcH6nsEq5UpEpLJKO8tJNRwH9Gd8f6rA+L8E9gPOAUaBC4CrgVdXJXcihPsUHTBvWsnTzWprVFAkIrGhoKj27nX3nmJGNLMjgROAY9z9jijteeAeM3utu99UxXzKFFZO9RnArLYGBUUiEhuqPouXk4C16YAIwN3/CjwdDROpuMGRFD2DI8yIepOVYva0RtZtUVAkIvGgoKj2VpjZiJktM7P/V2DcRcDjOdIfi4aJVNzG3tB7bEZb6UFRqD5T7zMRiQdVn9XOGuAzwF+BBPA24Ptm1uLuF+aZphPYnCN9E7BXVXIpU96GKKiZ2VpeULSpb4iR1CjJhK7BRGRyU1BUI+5+A3BDRtL1ZtYEfNrMvunuFXmKppmdC5wLsPvuu1diljLFbC0pam0sedpZ0xpxD/OY095U6ayJiFSULt0ml18DM4CFeYZvAjpypHdGw3bg7he5+2J3Xzx79uyKZFKmlm1BURltitpCIPWi2hWJSAwoKJpcPOs92+PkbjuUr62RyLht6C2/+mz2tDCNeqCJSBwoKJpc3gKsB1blGX49sIuZHZVOMLPFhPZE11c/ezIVbewdJFFnZXbJDyVFamwtInGgNkU1YmZXEhpZP0RoaH169PpQuj2RmS0Hbnf3swHc/W4zuxG4zMw+xrabN96pexRJtWzsHaKzpZ66Oit52m1BkUqKRGTyU1BUO8uA9wC7AQYsBc50959mjJMkBEyZTgcuBH5MKOm7FvhQ1XMrU9aGnqGy2hMBtDYmaa5P6F5FIhILCopqxN0/CXyywDgLc6RtBt4dvUSqbmNv+UERwJz2RjW0FpFYUJsiERnTxt4hZpbRHT9tl/YmXujqLzyiiEiNKSgSkTGt2zLIrDLuZp02f3ozqzcPVDBHIiLVoaBIRPLqHRxhy+AIczvKv/HiLh1NrO0eYHQ0350mREQmBwVFIpJXui3Q3GnlB0XzO5oYGXX1QBORSU9BkYjktbY7VHvNHccjOuZ1NAOwuktVaCIyuSkoEpG8tgVF5Te0njc9BFRrNquxtYhMbgqKRCSvF7tDldd4HuaaLilao5IiEZnkFBSJSF5ruwdoqq+jvan8W5p1ttTTmKxjjbrli8gkp6BIRPJau2WQue1NmJX+iI80Mwvd8lVSJCKTnIIiEclrbffAuHqepc2f3sRzm1RSJCKTm4IiEclrbfcAc8bRyDptj5mtPLOhtwI5EhGpHgVFIpLT6KizenM/u3a2jHteC2e2sKlvmK6+4QrkTESkOhQUiUhOa7cMMJxydu1sHve89pjZCsCqjSotEpHJS0GRiOSUbgNUmaAolDat2tA37nmJiFSLgiIRyem5TSGAqUT12e4z0kGRSopEZPJSUCQiOT23sXIlRS0NSea2N7JSJUUiMokpKBKRnJ7d1MfsaY001ScqMr89ZrSycr1KikRk8lJQJCI5PbepvyKlRGl7z2njyRd7cPeKzVNEpJIUFIlITqs29LFbBdoTpS3aZRpd/cO8uGWwYvMUEakkBUUisoP+oRSru/rZe3Zbxea539xpADz+wpaKzVNEpJIUFInIDp5e34s77DW7tWLzXLRLCIqWvdBdsXmKiFSSgiIR2cGKdT0AFS0p6mxtYM60Rpa90FOxeYqIVJKCIhHZwVPrejGDPWdVrqQIYP9dprFsrUqKRGRyUlBUA2b2VjP7nZk9b2Y9Znafmb29iOk8x+svE5FnmVpWrOthwfRmmhsq0x0/7cD57Sx7YQsDw6mKzldEpBKStc7AFPVR4GngI8B64GTgCjOb5e7fLjDt14BfZ3xXq1WpuOUv9rBXBavO0g7drZPh1FMsXdPNYbt3Vnz+IiLjoaCoNk5x9/UZ328xs/mEYKlQULTS3VU6JFUznBpl+Ys9vHrfWRWf96G7TwfggWc2KygSkUlH1Wc1kBUQpT0AzJ/ovIhke3JtD0OpUQ6c317xec9tb2J+RxMPPLOp4vMWERkvBUWTx5HAE0WMd76ZjZjZejP7sZnNqHbGZGp5dHUXAAfN76jK/A/dvZMHntlclXmLiIyHgqJJwMyOB95EaC80lkuB/wccB3wBOBX4o5nlbQ1rZuea2RIzW7Ju3bpKZVl2Yo+u7qa5PlHxnmdpr9hzBs9v7mfVBj0HTUQmF7UpqjEzWwhcAfzW3S8Za1x3Pyvj6x1m9hhwHXAKcHWeaS4CLgJYvHixHjolBS1d3c2B89tJ1FlV5p9uq/SnJ9ezx8zqBF4iIuVQSVENRVVf1wOrgHeUMYs/AD3AYZXMl0xdw6lRHlndxcELqlN1BuHeRwumN3Pnk7ma1omI1I6CohoxsxbgWqAB+Ht37yt1Hr7tceMqAZKKWLq6m76hFIsXVq9nmJnx6n1n8ecV6xlOjVbtd0RESqWgqAbMLAn8CtgXONHdXyxzPicCbcB9FcyeTGH3rtwIwMsXVrf9/nGL5rBlYIS7V2yo6u+IiJRCbYpq47uEGzZ+GJhpZjMzhj3g7oNmdjOAux8PocE0sBi4iXDDx8OATwN/BX4/gXmXndiSlZvYfUYLc9ubqvo7R+83m2mNSa55cDVH7ze7qr8lIlIslRTVxgnR+zeBu7Ne86JhieiVtgI4CPgecAMhoLoMOMHd9cwEGbfRUefelRurWnWW1lSf4HUHzeWGR19gaERVaCIyOaikqAbcfWER4xyb9f1m4OYqZUmER1Z3saF3qCp3ss7lH146n6vuf54bHn2BU16q+5aKSO2ppEhEALj18XWYwdH7Tkx11qv3nc3uM1q47O6VE/J7IiKFKCgSEQBuXfYiL9ttOjPbGifk9xJ1xrteuQf3rtzEI893TchvioiMRUGRiPBi9wAPPreZ1+w/Z0J/9x8X78a0xiTfuvnJCf1dEZFcFBSJCL97cDXu8IZD5hUeuYI6Wup579F7cePStXpIrIjUnIIiEeG3f1vNwQs62Ht224T/9tlH7cmstgbOv2YpqVHdh1REakdBkcgU98TaLTz8fBdvfFlteoC1Nib5z1MO4sFnN/PjO5+uSR5EREBBkciUd+ldK2lI1nHqoQtqlodTDpnH6w6cy1duWKZqNBGpGQVFIlNYV98wV93/PG962fwJ63WWi5nx5Tcfwpz2Rt53+X2s6eqvWV5EZOpSUCQyhV1y10r6h1Oc9ao9a50VOlsbuPjMxfQOpjjj4ntY2z1Q6yyJyBSjoEhkitrYO8TFf3qKEw/ahQPnt9c6OwAcMK+dS9/zcl7sHuCt37+bJ9duqXWWRGQKUVAkMkV96+Yn6Rsa4d9O2K/WWdnO4XvM4PJzjqBvKMWp372Lax9aXessicgUoaBIZAr627ObuezulZxxxO7sO3darbOzg0N37+Saf/k79p7TxgeveIAP/Ow+XuhSdZqIVJeCIpEppn8oxSd+/RBzpjVx3omLap2dvOZ1NHPl+47kvBP356alL3LMV27lS9c/zqbeoVpnTUR2UgqKRKYQd+fTVz/CEy9u4UtvPpj2pvpaZ2lMyUQdHzh2H27+t2M4+eB5/OCOFbzyizdz3q8f5OHnunDXzR5FpHKStc6AiEyci//0FFfe/xwfPn5fjp3g55yNx24zWrjw9Jfx/mP35pK7VvKb+5/nl0ueY+HMFt5wyDyOP2AuhyzoIJnQdZ6IlM90pTV1LF682JcsWVLrbEiNXP6XVXz66kd4w8Hz+PbbD6WuzmqdpbJ19Q1z/SNr+P3Da7hrxQZSo860xiRH7DWDI/acycG7dnDQ/HamTfKSMIkHM7vP3RfXOh9SfQqKphAFRVOTu/Otm5dz4U1PcNyiOXz/nYfTkNx5SlQ29g5x14r1/Hn5Bu5asZ5VG/q2DttrVisHzG9nn9lt7D2njb1nt7LXrDaaGxI1zLHEjYKiqUNB0RSioGjq6eob5pNXP8zvH1rDaYct4EunHbJTBUS5rO8Z5OHnu3jkuS4eer6LJ9Zu4dmNfaSfNWsG8zua2XNWK7vNaGH3zNfMFjqaVbok21NQNHWoTZHITsjduXXZi3zqN4+wbssg5524P+8/Zm/M4ltlVqxZbY28Zv85vCajzdTAcIqVG3pZ8WIvK9b1sGJdD6s29HHjoy+wIas3W0dz/dYgKR00zZveRHtTPa2NCQyjzsKjSXbtbKapXqVOIjsLBUUiO5lHnu/igj88zp+eXM/es1u58v2v4qW7Ta91tmqqqT7Bol3aWbTLjnfu3jIwzLMb+3lmYx/Pbuxj1cZentnYz9I13dy49AWGU/lL0xsSdbx0tw5esecMXrHnTA7fo5O2Rp1WReJK1WdTiKrPdl4jqVHueHIdP7rzaf68fAPtTUn+9bX78c5X7rHTV5dVU2rUeaF7gBe6+ukeGKF/KIU7jLqTGnUeW9PNPU9v5OHnu0iNOok6Y9Eu09hnThsLZ7aycFZLeJ/ZSmdrQ60XR8qk6rOpQ0HRFKKgaOcynBrlb89u5vcPreHah1azvmeIue2NvPvv9uTtr9hdbWMmUO/gCA88s5m/Pr2BB57dzFPrelnd1U/m6bWjuZ6Fs1pZOLNlu4Bpj5mtdLbUT4mqzbhSUDR1qJxXJCYGhlM8tqabB5/dzF0rNnD3ig1sGRyhIVHH8QfM4Y0vW8Bxi+aoZKgGWhuTHLXvLI7ad9bWtMGRFM9u7OPp9X2s2tDL0+t7WbWhjyUrN/G7B1dvFzA11ydY0NnM/OnNLJjezILpTeF7RzMLOpuZ295Eve7BJFJ1CopqxMwOBL4NHAlsBn4I/Je7pwpM1wF8A3gT4Y7k1wIfcvcN1c2xTJShkVGe2djLU+t6eWp9L0+t62Hpmm4eX7OFkagL1YLpzfz9S+dz9L6zeNU+s1QqNAk1JhPsM2ca+8zZ8dlymQHTMxv7WL25n+c39bO6q59Hn+/aofG3GcxoaWD2tMbtX22NzGlvYnZb+D6jtYGO5noSMb4HlUgtKSiqATPrBG4ClgJvBPYGvkYIcj5dYPJfAvsB5wCjwAXA1cCrq5VfqYyhkVE29w2xuX+YTb1DrN0yyAtd/bzQNcja7oGo7coAa7r6t3Yfh9Cbav9d2njv0Xvx0l07OHjX6czvaFJ1S4yNFTBBeD7d6q7+rcHSmq4B1vUMsm7LIC9uGeSpdb2s2zLIUGo05/TtTUk6WxuY3tLA9OZ6Olvqw+eWejpbGmhvTtLWGHrTTWusp60pSVtjeDXV12nfkilLQVFtvA9oBk5z927gj2bWDpxvZl+O0nZgZkcCJwDHuPsdUdrzwD1m9lp3v2mC8j9ljKRGGUqNMjA8St/QCH1DKXoGR+gbTNE7NELv4Ai9Qyl6B0foy/i8ZXAkBEB9w2zuG2ZT3xB9Q7kLAZvrE8zraGJuexNH7DmDBZ3N7BXdZHDhrFaVAk1BzQ0J9p7dxt6z2/KO4+509Q+zbsu2YGnT1n1uiE19wyEA7xvi6fW9bOobYsvASMHfTtTZ1gCprTFJa2OCloYkTfUJmurraK5P0NyQiL5npNXvmNZYn6AhUUdD0qhP1NGQrKM+EV6N0WeVaslkoqCoNk4CbsgKfn5BKPU5BrhmjOnWpgMiAHf/q5k9HQ2bsKDI3RmNeuGMum/tkTPqocdO9vDR0R3HTY2GcdydkdHwfTg1Smo0fB9JOSOjo1G6R+mjjESfh6Nh6fG2TeOkovHS8x1KjTI4PMrgSIqhkVEGR7I/j0aft09LjZbWEaG1IUFL9GcyvaWeue1N7L/LNKY3N4Sr9db0lXsDc9obmdveRHtTUlfmUjIzi0p/Gth3bu4Sp2wjqVE29w+zZSAE9FsGRugZHKFncJiewRQ9A9HngZHwfXA4XAQMjbChd4jB4RT9wykGtr7nLqkqRZ2xNVhqiAKm8N22C56SCSNZV0ddnZGsMxI7vNeF90Se9Oj7DtMntg1PWHiv2/oZEnVqyzWVKCiqjUXALZkJ7v6MmfVFw/IFRYuAx3OkPxYNG9MTa7dw3Fdv2xq8hGAlM3gJAUoqSt8u0PHtA53J3mmxPpE+6W07mTYm62isr6MxmaAhGb63NiaZ0bp9WmOyLvqcyPhcR0tjktaGJC2NCdoak7Q0JLb73pRMxPp5YrLzSybqmNXWyKy2xorMz90ZHBndLkjqH0oxMJJiIHofTjlDI6MMp0a3vWekpdOHUpnjhAuZzOlGRp3+4dR2Fz2jGRdUI1svnKLho5nfveQLHJmaFBTVRiehcXW2TdGwcqbbK9cEZnYucC5A+/y9OGhBB3UGdWZY9J4wo64uXHmmh217QV1dGDeRkWZZw+sypjULRfDZ4ybqsqazcEVmQLLOSEZXbMkdApptnxN1Rn1dHYmEUZ++2su40qtP1G39TRGpLjPbWmU22W8P6r59kDQyGi7+tn2PSqGji8JUujR7FA65oNa5l4mioGgn5+4XARdBuE/Rt99+aI1zJCIy8czCBVdST2WRMaiytDY2AR050jujYZWeTkRERApQUFQbj5PVBsjMdgNayN1mKO90kXxtjURERKRICopq43rg9WaW2WXkdKAfuL3AdLuY2VHpBDNbTGhPdH01MioiIjJVKCiqje8Dg8BVZvbaqDH0+cDXM7vpm9lyM/tR+ru73w3cCFxmZqeZ2ZuAnwF36h5FIiIi46OgqAbcfRNwPJAgdL//L+BC4LNZoyajcTKdTihN+jFwGXAfcGo18ysiIjIVqPdZjbj7UuC4AuMszJG2GXh39BIREZEKUUmRiIiICAqKRERERAAwn+zPa5CKMbMtwLJa56OKZgHra52JKtLyxdfOvGyw8y/f/u5e3APmJNbUpmhqWebui2udiWoxsyVavvjamZdvZ142mBrLV+s8yMRQ9ZmIiIgICopEREREAAVFU81Ftc5AlWn54m1nXr6dedlAyyc7CTW0FhEREUElRSIiIiKAgiIRERERQEHRTsHMDjSzm82sz8xWm9nnzCz7mWm5pltsZjea2cbodZOZHTEReS6Fme1jZj8ws4fMLGVmtxU5XYeZ/cTMNplZl5n9zMxmVjm7JSln2czs5dFyLY+2+TIz+6yZNU1AlktS7rbLmL7OzJaYmZvZ31cpm2Ubz/JFD3W+18z6zWyDmf3BzFqrmN2SjePYm/TnFjN7q5n9zsyeN7MeM7vPzN5exHSNZvY1M3vRzHrN7PdmtrD6OZaJoKAo5sysE7gJcOCNwOeAfyM8ZHas6XaLpksC74peSeCPZrZHNfNchoOAkwk3nnyihOl+CRwLnAOcBbwcuLrCeRuvcpbtdGBv4IJo2u8AHwV+Vo0MjlO52y7tHGDXiuaosspaPjM7B7gCuB44ibCcTzL57h1X8vLF6NzyUaAH+AjwD8CtwBVm9i8FpvsW4XzyMeAthBtX/nEyXpRIGdxdrxi/gP8ANgHtGWnnAX2ZaTmmex+QAjoy0jqjtPfXermy8lqX8fnXwG1FTHMkIVA8OiPtFVHaa2u9TONctlk50s6Nlm2PWi/TeJcvY/xOYB1wdrRsf1/r5anU9gO2AO+tdf6rtHyxOLfkOY6uAJ4eY5pdgRHgzIy0BcAQcE6tl0mv8b9UUhR/JwE3uHt3RtovgGbgmDGmqycc3L0ZaT1RmlU6k+Ph7qNlTHYSsNbd78iYz1+Bp6Nhk0I5y+buuR6n8ED0Pn98OaqsMrdd2ueBPwM3Vyg7FVfm8v1j9H5pJfNSDWUuXyzOLWMcR2MdQydE71dlzOd54E4m0XlFyqegKP4WAY9nJrj7M4SSokVjTHdlNM7XzGyOmc0BLiSUOv2qSnmdSDusl8hjjL1e4upIYBRYUeuMVIKZHQK8h1BFsbM5glAddbaZPWdmw2Z2j5m9qtYZq5A4n1uOZOxqwkXAc+7ek5W+s55XphwFRfHXCWzOkb4pGpaTu68GXgO8GVgbvU4DXu/u66qQz4lW1nqJIzPbBfg08FN3f7HW+amQbwP/6+7La52RKtgF2J+wzT4BnEIoVfmDmc2tZcYqIa7nFjM7HngT8LUxRpsy55WpSkHRFGVm8whXbfcRin1Pij7/3sx2r2XepHhm1kBoUJ5uMBp7ZvY2QtDw37XOS5UY0Aac7e4/c/c/EP6MU8AHa5qzCojjuSXqPXYF8Ft3v6SmmZGammw9HaR0m4COHOmd0bB8Pk6o+3+Luw8DmNkthB4wHwM+VOF8TrRNwOwc6YXWS2yYmQGXEXoI/Z27x365zKwe+AqhZ12dmU0H2qPBrWY2zd231CyDlbGJ0HD8tnSCu3eb2X3AgbXKVAXF6txiZjMIvQBXAe8oMHq551uJCZUUxd/jZNVlR11iW8jdpiZtEfBo+qQF4O5DwKOE7t5xt8N6ieRraxRH3yDchuGN7r6zLFMroYfP1wl/MpuAB6Nhv2Bbg/I4e4xQWpTd6NgI7cLiLjbnFjNrAa4FGgi9G/sKTPI4sFuO+0ntTOeVKU1BUfxdD7zezKZlpJ0O9AO3jzHdKuAlUfULEG5KBrwEWFmFfE6064FdzOyodIKZLQb2iobFmpn9B6Gq5Z3ufmet81NBPYT2KJmv9A31PknhK/k4uDZ6f006wcw6gMPZFgDGWSzOLWaWJFTz7QucWGR7vBuj91Mz5jMfeDU7wXlFVH22M/g+oTj6KjO7gPCnfz7w9cxu+ma2HLjd3c+Okn5IuGHcb8zsu4Sr1H8G5jHJnggdXc2dHH1dALSb2Vui79e5e1/28rn73WZ2I3CZmX2McAV+AXCnu980wYuQVznLZmZnAF8ALgGeN7NXZsxyxWRqzFrq8rn7CBnVStE8FkYfH3b3e6qf6+KVuW8uMbPfAj8ys38H1hPuLTZMuBHnpFHO8hGfc8t3Ccv2YWCmbX+3+wfcfdDMbgZw9+Oj9+fM7EfAN6Lq63WE8+0q4PKJzLxUSa1vlKTX+F+Edgi3EEqH1hDu75LIGmclcElW2vHAHcDG6HU7cGytlyfH8i0ktMHI9Vo4xvJNB35C6C3STWhIucMN2+K2bIRgKN80Z9V6mSqx7fLMYzLevLHcfbMN+B6wITpubwIOrvXyVHD5Jv25Jcp3oWW7jawbVgKNhOrddYReg9cBe9Z6efSqzMuijSwiIiIypalNkYiIiAgKikREREQABUUiIiIigIIiEREREUBBkYiIiAigoEhEREQEUFAkIiIiAigoEhEREQHg/wM0n26SyEQNJwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "postPredDist(models.twoGaussianList, models.uniformList, hyp1Posterior)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2 PPD" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "postPredDist(models.singleGaussianList, models.singleGaussianList, hyp2Posterior)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Demo Files/Samples/bothMassSamples.npy b/Demo Files/Samples/bothMassSamples.npy Binary files differ. diff --git a/Demo Files/Samples/mr_samples.txt b/Demo Files/Samples/mr_samples.txt @@ -0,0 +1,17 @@ + 1.3334374e+00 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Files/hypo2/sing/sing/resume.dat @@ -0,0 +1 @@ + T diff --git a/Demo Files/hypo2/sing/sing/stats.dat b/Demo Files/hypo2/sing/sing/stats.dat @@ -0,0 +1,31 @@ +Nested Sampling Global Log-Evidence : 0.194291942353532470E+02 +/- 0.130077490198316464E+00 + +Local Mode Properties +------------------------------------------- + +Total Modes Found: 1 + + +Mode 1 +Strictly Local Log-Evidence 0.194291942353532470E+02 +/- 0.130077490198316464E+00 +Local Log-Evidence 0.194291942353532470E+02 +/- 0.130077490198316464E+00 + +Dim No. Mean Sigma + 1 0.137166776282474911E+01 0.287812229566329174E-01 + 2 0.107128044331311165E+00 0.244540950789709881E-01 + 3 0.129102547013738134E+01 0.234271057283977450E-01 + 4 0.843011005132395103E-01 0.196823869940855774E-01 + +Maximum Likelihood Parameters +Dim No. Parameter + 1 0.137307691854375769E+01 + 2 0.887169888286552244E-01 + 3 0.129358954329514586E+01 + 4 0.762291606930962096E-01 + +MAP Parameters +Dim No. Parameter + 1 0.137307691854375769E+01 + 2 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We compare two sub-hypotheses for the mass distribution of *recycled (fast)* and *non-recycled (slow)* Neutron Stars from Galactic Double Neutron Star (DNS) systems. The sub-hypotheses we compare are:\n", + "\n", + "1. Recycled NS distribution is two-Gaussian (bimodal) and non-recycled is uniform. (Most favoured hypothesis in our findings)\n", + "2. Recycled & non-recycled are both single-Gaussian distributions. (Conventional)\n", + "\n", + "However this code can easily be altered to compare any other two sub-hypotheses by changing the models investigated through replacing occurences of:\n", + "> models.uniformList\n", + ">\n", + "> models.___________List\n", + "\n", + "into models of your choosing. Infact you can investigate your own models by writing a function in models.py (as long as you introduce an appropriate prior!)\n", + "\n", + "### Requirements (Imports)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# We require functions for uniform, truncated gaussian, and truncated two-gaussian models.\n", + "import models\n", + "\n", + "# We sample using pymultinest\n", + "import pymultinest\n", + "\n", + "# Useful librarys for mathematical operations\n", + "import numpy as np\n", + "from scipy import stats\n", + "from scipy.special import erf\n", + "import random\n", + "\n", + "# Filesystem operations\n", + "import os\n", + "import sys" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We also load the mass samples:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Load DNS mass samples\n", + "bothMassSamples = np.load('Demo Files/Samples/bothMassSamples.npy')\n", + "# For each DNS, pulsar & companion samples are grouped in pairs.\n", + "# Creates array of shape like (17x10000x2) (17 DNSs x 10000 observation samples x 2 (pulsar + companion))\n", + "\n", + "# Only use 200 samples for faster sampling\n", + "massSamples = bothMassSamples[:,:200,:]\n", + "\n", + "# Define the nMeasurements and nSamples per mass measurement\n", + "nSamples, nMeasurements = len(massSamples[0]), len(massSamples)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Prior\n", + "\n", + "Here we define prior used in this hypothesis. In this demo as we are exploring sub-hypotheses between **pairs of models**, therefore we run PyMultiNest with a set of hyperparameters which contains the parameters describing both models." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def prior(cube, ndim, nparams):\n", + " # cube is initially a unit hypercube which is to be mapped onto the relevant prior space.\n", + " \n", + " # j is the hyperparameter index. We map the priors beginning with the parameters of model1,\n", + " # and then incriment j by the number of parameters in that model1. Then mapping\n", + " # the parameters of the next model2.\n", + " j = 0\n", + " \n", + " # Loop over both models in the sub-hypothesis.\n", + " for modelBeingMapped in [modelName1, modelName2]:\n", + " if modelBeingMapped == 'singleGaussian':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = 0.005 + cube[j+1] * (0.5 - 0.005)\n", + " j += 2\n", + " if modelBeingMapped == 'twoGaussian':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j])\n", + " cube[j+2] = 0.005 + cube[j+2] * (0.5 - 0.005)\n", + " cube[j+3] = 0.005 + cube[j+3] * (0.5 - 0.005)\n", + " cube[j+4] = cube[j+4] * 1\n", + " j += 5\n", + " if modelBeingMapped == 'uniform':\n", + " cube[j] = 0.8 + cube[j] * (2 - 0.8)\n", + " cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j])\n", + " j += 2\n", + "\n", + " return" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Likelihood Function\n", + "\n", + "Here we impliment the likelihood function given by *Equation 11*.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def likelihood(cube, ndim, nparams):\n", + " \n", + " # Create lists of the parameters for each model. Model1 has parameters in cube from 0 to ndim1-1, Model2 has parameters in cube from ndim1 to ndim-1.\n", + " paramList1 = [cube[i] for i in range(ndim1)]\n", + " paramList2 = [cube[i] for i in range(ndim1, ndim)]\n", + " \n", + " # Initial list to contain the sum of the products of the probability for each m_r and m_s sample in their respective models.\n", + " pdfProductSumList = []\n", + " \n", + " # For the m_r and m_s pairs in each BNS system. (eg. 1000x2)\n", + " for massSample in massSamples:\n", + " \n", + " # Evaluate the PDF function down the m_r and m_s samples of the BNS\n", + " mrProbabilities = modelEval1(paramList1, massSample[:,0])\n", + " msProbabilities = modelEval2(paramList2, massSample[:,1])\n", + " \n", + " # Evaluate the product of the m_r and m_s probability for each pair.\n", + " probabilityProduct = mrProbabilities*msProbabilities\n", + " \n", + " # Append the sum over all the probability products of each pair.\n", + " pdfProductSumList.append(np.sum(probabilityProduct))\n", + " \n", + " # If either the m_r or the m_s samples are completely outside their model then return a log-likelihood of -inf.\n", + " if 0 in pdfProductSumList:\n", + " #print(\"Zero probability value - Parameters: {}, {}\".format(paramList1,paramList2))\n", + " return -np.inf\n", + " \n", + " # The log-likelihood is the log of the normalised sum over the log of each pdfProductSum\n", + " loglikelihood = nMeasurements * np.log(1.0/nSamples) + np.sum(np.log(pdfProductSumList))\n", + " return loglikelihood" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference\n", + "\n", + "## Hypothesis #1, that recycled NS distribution is two-Gaussian (bimodal) and non-recycled is uniform.\n", + "\n", + "This sampling can be quite computationally expensive, sampling speed can be an issue particularly inside Jupyter notebooks. Therefore for this demonstration the number of livepoints is reduced to 500. If this takes too long try 100 livepoints which should take 10-15 minutes. However reducing the livepoints will result in less continuous and more jagged posterior distributions.\n", + "\n", + "\n", + "Unfortunately the ouput from pymultinest is directed to the terminal (where jupyter is started), so it can not be seen in this notebook. However an example of the output is given below:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "modelName1, modelEval1, ndim1, paramNames1 = models.twoGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.uniformList\n", + "\n", + "# Define the total number of hyperparameters\n", + "ndimHyp1 = ndim1 + ndim2\n", + "\n", + "### Inference\n", + "# Directory to send output to. Create it if it does not exist.\n", + "directoryNameHyp1 = 'Demo Files/hypo1/' + modelName1[:4] + \"/\" + modelName2[:4]\n", + "if not os.path.exists(directoryNameHyp1):\n", + " os.makedirs(directoryNameHyp1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Uncomment this cell if you wish to run the sampling. NOTE: This may take a while!**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "#pmObject = pymultinest.run(likelihood, prior, ndimHyp1, n_live_points=500, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryNameHyp1 + '/', verbose=True, resume=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "egOutput = '''\n", + "*****************************************************\n", + "MultiNest v3.10\n", + "Copyright Farhan Feroz & Mike Hobson\n", + "Release Jul 2015\n", + "\n", + "no. of live points = 100\n", + "dimensionality = 7\n", + "resuming from previous job\n", + "*****************************************************\n", + "Starting MultiNest\n", + "generating live points\n", + "live points generated, starting sampling\n", + "Acceptance Rate: 0.955414\n", + "Replacements: 150\n", + "Total Samples: 157\n", + "Nested Sampling ln(Z): -6.272028\n", + "Acceptance Rate: 0.271370\n", + "Replacements: 400\n", + "Total Samples: 1474\n", + "Nested Sampling ln(Z): 10.303706\n", + "'''" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2, that recycled & non-recycled are both single-Gaussian distributions. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "modelName1, modelEval1, ndim1, paramNames1 = models.singleGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.singleGaussianList\n", + "\n", + "# Define the total number of hyperparameters\n", + "ndimHyp2 = ndim1 + ndim2\n", + "\n", + "### Inference\n", + "# Directory to send output to. Create it if it does not exist.\n", + "directoryNameHyp2 = 'Demo Files/hypo2/' + modelName1[:4] + \"/\" + modelName2[:4]\n", + "if not os.path.exists(directoryNameHyp2):\n", + " os.makedirs(directoryNameHyp2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Uncomment this cell if you wish to run the sampling. NOTE: This may take a while!**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "#pmObject = pymultinest.run(likelihood, prior, ndimHyp2, n_live_points=500, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryNameHyp2 + '/', verbose=True, resume=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from Demo Files/hypo1/twoG/unif/.txt\n", + " analysing data from Demo Files/hypo2/sing/sing/.txt\n", + "For Hypothesis 1 we find a log-Bayes Evidence: 24.2533062226\n", + "For Hypothesis 2 we find a log-Bayes Evidence: 19.4291942354\n", + "\n", + "Here we have shown that Hypothesis 1 (two-Gaussian recycled, uniform non-recycled) is strongly favoured\n", + "over the alternative hypothesis (single-gaussian distributions) with a Bayes Factor of 121.5, (log-BF: 4.8)\n", + "\n" + ] + } + ], + "source": [ + "# We load the results for each hypothesis which were created by pymultinest\n", + "hyp1Res = pymultinest.analyse.Analyzer(ndimHyp1, outputfiles_basename=directoryNameHyp1 + '/')\n", + "hyp1Stats = hyp1Res.get_stats()\n", + "hyp2Res = pymultinest.analyse.Analyzer(ndimHyp2, outputfiles_basename=directoryNameHyp2 + '/')\n", + "hyp2Stats = hyp2Res.get_stats()\n", + "\n", + "print(\"For Hypothesis 1 we find a log-Bayes Evidence: {}\".format(hyp1Stats['global evidence']))\n", + "print(\"For Hypothesis 2 we find a log-Bayes Evidence: {}\".format(hyp2Stats['global evidence']))\n", + "\n", + "logBF = np.round(hyp1Stats['global evidence'] - hyp2Stats['global evidence'], 1)\n", + "\n", + "print(\n", + "\"\"\"\n", + "Here we have shown that Hypothesis 1 (two-Gaussian recycled, uniform non-recycled) is strongly favoured\n", + "over the alternative hypothesis (single-gaussian distributions) with a Bayes Factor of {}, (log-BF: {})\n", + "\"\"\".format(np.round(np.exp(logBF), 1), logBF))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## We can also explore the parameter posteriors to view their distributions:\n", + "We make use of a library called corner plots which allows us to create corner plots, showing joint distributions which allows us to view slices of the sampling parameter space." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# We import plotting tools\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Corner module provides great visualisations for our purpose.\n", + "import corner\n", + "\n", + "\n", + "def cornerPlot(samples, bounds, parameterNames):\n", + " plt.rcParams.update({'font.size': 15})\n", + " return corner.corner(samples, bins=50, smooth=0.9, label_kwargs=dict(fontsize=16), show_titles=True, range=bounds, title_kwargs=dict(fontsize=16), color='#3fcca6', labels=parameterNames, plot_density=False, plot_datapoints=True, fill_contours=True, max_n_ticks=5)\n", + "\n", + "hyp1Posterior = np.asarray([param for param in hyp1Res.get_equal_weighted_posterior()])\n", + "hyp2Posterior = np.asarray([param for param in hyp2Res.get_equal_weighted_posterior()])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2 Posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 698.4x698.4 with 16 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We have to reset the model information back to hypothesis 2 information\n", + "modelName1, modelEval1, ndim1, paramNames1 = models.singleGaussianList\n", + "modelName2, modelEval2, ndim2, paramNames2 = models.singleGaussianList\n", + "paramNames1 = [r'$m_r$ ' + pName for pName in paramNames1]\n", + "paramNames2 = [r'$m_s$ ' + pName for pName in paramNames2]\n", + "\n", + "cornerPlt = cornerPlot(hyp2Posterior[:,:ndim1 + ndim2], bounds=[[1.3,1.6],[0,0.5], [1.2,1.4],[0,0.5]], parameterNames=paramNames1+paramNames2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Posterior Predictive Distributions (PPD)\n", + "\n", + "The goal is to now summarise the findings into a mass distributions from our inference sampling.\n", + "\n", + "We can see above that some parameter distributions cover a wide range of possible values. It would be unwise to take take the maximum likelihood parameters or the mode parameters (maximum a posteriori (MAP) estimate), as this would ignore the uncertainties within each parameter.\n", + "\n", + "Instead we take another approach by creating a posterior predictive distibution:\n", + "See paper or https://en.wikipedia.org/wiki/Posterior_predictive_distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def postPredDist(model1List, model2List, hypPost, plotrange=[0.8, 2], thinningFactor=10):\n", + " paramList = hypPost[:,:-1].tolist()\n", + " \n", + " # Randomly take totalSamples/thinningFactor sets of the hyperparameters from the posterior.\n", + " drawnParams = [random.choice(paramList) for i in range(len(paramList)/thinningFactor)]\n", + " \n", + " # Here we are creating two PPDs, one for recycled NS and one for non recycled NS.\n", + " # We need to keep track of whether we are looking at reclyed or non-reclyed model parameters.\n", + " paramsPassed = 0\n", + " \n", + " titleList = [r'Recycled NS Posterior Predictive Distribution $m_r$ - {}', r' Non-Recyled Posterior Predictive Distribution $m_s$ - {}']\n", + " \n", + " # Loop over each model for recycled and non-recycled\n", + " for index, (modelName, modelEval, ndim, paramNames) in enumerate([model1List, model2List]):\n", + " \n", + " # X-axis plot range\n", + " xValues = np.linspace(plotrange[0], plotrange[1], 10000)\n", + " plt.xlim(plotrange[0], plotrange[1])\n", + " \n", + " # For each set of hyperparameters we evaluate the function they describe.\n", + " yValueList = []\n", + " for params in drawnParams:\n", + " yValues = modelEval(params[paramsPassed:paramsPassed + ndim], xValues)\n", + " yValueList.append(yValues)\n", + " \n", + " # We incriment paramsPassed by the number of parameters belonging to this model.\n", + " paramsPassed += ndim\n", + " \n", + " # We turn these function values into an array and then take the mean of each function value at each x.\n", + " yValueArray = np.asarray(yValueList)\n", + " meanyValues = np.mean(yValueArray, axis=0)\n", + "\n", + " plt.title(titleList[index].format(modelName))\n", + " plt.plot(xValues, meanyValues)\n", + " plt.show()\n", + " \n", + " return" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #1 PPD" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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A75rZsYSRpU8k9A7L7XZdEXffYmEMh3wNrr8MzDezXxCqG4YJxcFvIvyyuDhqc1QrnwPOIHSLPYZwMh9N+NX9ELsDtznAhihfdxJK9Q4g9IzbTqhDzvgzobvqP5tZH6HdzWPufhuVHYN6bct0MJXnYrnXTLHjVsxFhGrvLxIaXV4xye0t5hgze0v0OntE6/2j7XpTieVrdR5Xawtwm5n9IHr/dsI+OCenwfa1hHP2Xy2MZ/MYIeg7jr2PeaX5nLLrxMzmEbbvp3kmHwNsdvfcdmSFSpCOAS5196/XKn9ZSu3DG6PphxF+vAPg7g+Y2TOE0r4/+t5DGZS9r919xMxeReiJd7mFMYMyQ1/0EMYwOpMQTGTvs58TBgW+xswuj+Z9E/lHjy73vCr3OqnkespVSb5rw8vringiRbq6Ek6CFHBDVloceC/hRBqKHo8QfpGekrN8O6Eo8H7Cja8/Wu7dBT7vuig/by2S55LrJE8XwCryvh/hwA1Ej6sIv1Aep4ou+TnTOglFus6eXfJPIQyHcDfhJJ0gNCS7gdDLqWUyn1tg/oWEHm5PE07Ip6M8LMiap5VwAv8pys9YtB++Dzw7zzr/jlCilRle4MJKjwEVdjUud1tKrbsW+7Wc9dfjXCyyX8q6Dgsdt0LrzTo3tkbTv1uL7S2y7zOPFCEAu58QlL2yxHJn1fI8rvTczJr/5YTei09Gn30vOd3Us5Y5mDC203B0vH5KqDrf45hXc9yowXVC9JcYJY7bydHyf5tn2gbgN3nSM12yl+WkPwmcVu71Wumj0D7Mmn47eb6bovPXgX8vsN6y9nXW/B2E3mU3EL4DktHxX0UIog7JmT9GKKlaE51TT0TzHRbl67xKzyvKvE4qmG+v87CSfE/2PMw8LFqgqZjZ1YRfwEu8xP+EiYjIzGehq/ZmQiCxtdH5keZUizZFU8rMDiK0KSr5x6kiIjJrHAM8oYBIJqMR3TarYmYvJBSZvZdQdPnFxuZIRESmkaPJaZAtUqmmqT6z8OeFbyN0T/yQ1/g/v0RERGR2a5qgSERERKSemqb6TCZvwYIFvnz58kZnQ0Skqdx+++1b3D33b0FkBlJQNIssX76cVatWNTobIiJNxcyeaHQeZGo0Xe8zERERkXpQUCQiIiKCgiIRERERQEGRiIiICKCgSERERARQUCQiIiICKCgSERERARQUicgk/H7NFu5fv6PR2RARqQkN3igiVRkam+DN37sNgMf/41UNzo2IyOSppEhEqvLYlqFdr5OpdANzIiJSGwqKRKQqT28f3vV63faRBuZERKQ2FBSJSFWezgqENu0ca2BORERqQ0GRiFSlfzi56/W2ofEG5kREpDYUFIlIVQZGFRSJyMyioEhEqjIwkmRRTzsA24ZUfSYizU9BkYhUZWB0ggVzWulqjbFtKFl6ARGRaU5BkYhUZcdIkt6OBHPaEwyOKSgSkeanoEhEqjIwkqSnPUF3e5zBsYlGZ0dEZNIUFIlIVQZGo6CoLc7OUQVFItL8FBSJSFUGRibo7UwwRyVFIjJDKCgSkYql0s5IMkVXazwERSopEpEZQEGRiFRsJJkCoLM1puozEZkxFBSJSMWGx0MQ1N4ao7stoeozEZkRFBSJSMVGx9MAdCZiu3qfpdPe4FyJiEyOgiIRqdhwMpQMdbTGmNMWB2BoXKVFItLcFBTVmJkdZGbfMbN7zCxlZjfmTF9sZp83s7vNbNDMnjKzi8xsSRnrPs/MPM/jlXXbIJE8RsZDm6KO1lBSBKhdkYg0vXijMzADHQ6cBvwRSOSZfixwOvA94DZgX+A84FYzO8LdB0usfweQGwQ9OJkMi1Qq09C6IxGjszUGwHAUKImINCsFRbV3lbtfCWBmPwcW5Ey/BTjU3Xf9rDazO4CHgNcDF5VY/4S7/7GG+RWp2K6SokSMztZwGxlW9ZmINDkFRTXm7ukS0/vzpD1sZsNAySo0kekgu0u+SopEZKZQm6JpwMyOBDqBh8uYfa6ZbTGzpJndaWavq3P2RPaSCYDaEzE6oqBoREGRiDQ5BUUNZmYtwFeBR4BflJh9DfAh4AxCVdt64DIFRjLVRrNKirp2VZ8pKBKR5qbqs8b7LHA88FJ3Txab0d1/mP3ezK4CbgX+Bbg83zJmdi5wLsB+++1Xi/yK7AqAOvaoPlObIhFpbiopaiAzezfwQeDv3P22Spd3dycEQ0eaWazAPBe4+0p3X7lw4cLJZVgkkqkqa4/vrj5TSZGINDsFRQ1iZq8Hvg58yN1/MolVefQQmTIjyRTtiRZaWkwNrUVkxlBQ1ABmdiJwCfB1d//CJNZjhLZFd7u7vpFkyoyMp+hIhGCoPZ5paK3qMxFpbmpTVGNm1kkYvBFgKdBjZm+I3l8N7A9cAawGfmJmx2Utvtnd10breSlwHXCyu98Upd0EXBYt2wW8E3gh8Nq6bpRIjuHx1K7xiTKlRSopEpFmp6Co9vYBfpaTlnl/ACGI6QWOIjSSznYRcFb02oBY9JyxBvgnYDGQBu4AXuXu19Qo7yJlGY2qzzI6W2MMJxUUiUhzU1BUY+7+OHsGMrkujB6l1nNj7nrc/ezqcyZSO8PjE7tKiiD0QhseU/WZiDQ3tSkSkYqNJHe3KQLoTMRVfSYiTU9BkYhUbGQ8tasrPkBnW2zXX3+IiDQrBUUiUrG9SorU0FpEZgAFRSJSsZHkniVFHYk4Q2pTJCJNTkGRiFRsZDxFe05JkarPRKTZKSgSkYqNJtOqPhORGUdBkYhUbO9xiuK7/g9NRKRZKSgSkYokU2km0r5X9dnw+AThP4pFRJqTgiIRqcho1HYou/qsozVG2mFsIt2obImITJqCIhGpyGgyBD65f/MBqF2RiDQ1BUUiUpFMSVFbTvUZhL//EBFpVgqKRKQi+arPMv+DpsbWItLMFBSJSEV2V5/tXVI0pKBIRJqYgiIRqcjoRAh8crvkg6rPRKS5KSgSkYpkqs+yS4q62qI2RWMqKRKR5qWgSEQqkmk3lDuiNcCw/upDRJqYgiIRqcjoRL4u+VH1mf4UVkSamIIiEanIri758azqsygoUkNrEWlmCopEpCK7uuS37jmiNaikSESam4IiEalIvobWrfEWWmMtKikSkaamoEhEKrJrnKL4nrePzraYuuSLSFNTUCQiFRlNpkjEjHhsz9tHV2ucIXXJF5EmpqBIRCoykkzRntXIOqOzVSVFItLcFBTVgZkdZGbfMbN7zCxlZjfmmcfM7GNm9pSZjZjZzWb2vDLX/xozu9fMRs3sATM7s+YbIVLAaDK9x5/BZoSgSCVFItK8FBTVx+HAacBDwMMF5vkI8AngfODVwCBwrZktKrZiMzsBuAy4ATgV+BXwIzM7pTZZFyluLJnaY4yijM7WuEqKRKSpKSiqj6vcfZm7nwHcnzvRzNoJQdFn3f0/3f1a4AzAgfeUWPcngJvd/b3ufoO7fxD4NfAvtd0EkfxGJ1J7jGad0dUWU5siEWlqCorqwN3TJWZ5EdAD/DRrmSHgKkLpT15m1ga8LHu5yI+B482st6oMi1RgZDy1R3f8DJUUiUizU1DUGIcCKeCRnPQHo2mFrAASwOo8y7UAB9cqgyKFjCbTeavPutpiGqdIRJqagqLG6AMG3T33G2Q70GlmrUWWA+jPs1z29F3M7FwzW2VmqzZv3lx1hkUyRieKlBRpRGsRaWIKimY4d7/A3Ve6+8qFCxc2OjsyAxSqPutqjTGcTJFOewNyJSIyeQqKGmM70G1mud8sfcCwu48XWQ4gt+1QX850kboZm0jnLylqi+MeSpJERJqRgqLGWA3EgINy0g9l7/ZC2dYCSfZud3QokKZw93+RmhlNpujI2yU/+lNYtSsSkSaloKgxbgUGCN3wATCzTsJ4RdcUWsjdxwjjE52RM+lM4A/uvqP2WRXZ02iycJsigGF1yxeRJhVvdAZmoijAOS16uxToMbM3RO+vdvdhM/sP4BNmtp1QOvR+QpD69az1vA34PrDC3Z+Ikj8N3GhmXwGuiD7nNOCVdd4sESD6m48CbYoAhtQtX0SalIKi+tgH+FlOWub9AcDjwH8QgqCPAvOBVcBfuvvGrGVaCNVslklw91uiAOvfgHcBjwFvcvff1n4zRPbk7lGX/PxtigCNVSQiTUtBUR24++NkBTIF5nHg36NHoXkuBC7Mk34FoZRIZEqNTYRxSfOOU5QpKVL1mYg0KbUpEpGyjSZDwNMeL9KmSCVFItKkFBSJSNlGk5mSovz/fQYqKRKR5qWgSETKlikp6mjN1yVfJUUi0twUFIlI2TIDM+avPtM4RSLS3BQUiUjZRqKAJ1/1WUci0yVfQZGINCcFRSJStkyborY8vc9aWozO1pj+FFZEmpaCIhEpW6ZNUab9UK7O1rhKikSkaSkoEpGyZUarzrQfytXVFmNIJUUi0qQUFIlI2TKNqDvytCkCmNMeZ1BBkYg0KQVFIlK2TEPrQiVF3W1xdo4mpzJLIiI1o6BIRMqWKSnqasvfpmhOe4KdoyopEpHmpKBIRMo2Mj6BGbTF89865rTHFRSJSNNSUCQiZRseT9GZiGGW//+Oe9oTqj4TkaaloEhEyjY0nqKjQHd8CG2KBscmcPcpzJWISG0oKBKRso2MTxRsZA2h+iztGtVaRJqTgiIRKdvweKpEUJQAYFDtikSkCSkoEpGyjSRTdBQJirrbQ9Wa2hWJSDNSUCQiZRseT9FVpE3RnCgoGlBJkYg0IQVFIlK24fHiJUU9UVCkUa1FpBkpKBKRspVuaB3aFKn6TESakYIiESnbUImG1t1tmTZFKikSkeajoEhEyjYynqIjUbpNkXqfiUgzUlDUIGZ2o5l5gcfxBZZZXmD+H091/mX2cXeGS1SfdbXGMVP1mYg0p8I/+aTe3g305KT9K3A08OcSy34A+H3W+y01zJdIXmMTadJO0YbWLS1Gd2tcvc9EpCkpKGoQd38g+72ZtQIrgZ+4e6lvlIfc/Y91y5xIHiPRKNVdRYIiCFVo6n0mIs1I1WfTxyuBPuBHjc6ISD7DyRAUdRYZpwhCDzRVn4lIM1JQNH28EXga+N8y5v2BmaXMbIOZfcnMOuqcNxGGo9KfYtVnEEqK1PtMRJqRqs+mATPrBP4a+I4X/3vxMeAbwG+BAeBE4MPACuA1BdZ9LnAuwH777Ve7TMusMzyeKSkqHhR1t8fZOjg+FVkSEakpBUXTw6uBLkpUnbn7BuA9WUk3mtlG4JtmdpS7351nmQuACwBWrlxZLOASKSrTTigzFlEhczsSPLZlaCqyJCJSU6o+mx7eCKxx91VVLPvz6PnYGuZHZC+ZKrHMn74WMrezlf5htSkSkeajoKjBzKwXOJXqG1h7zrNIXWRKiua0JYrO19ORYGA0SSqtU1JEmouCosY7HWij+qDoDdHz7bXJjkh+Q2NllhR1JHDXAI4i0nzUpqjx3gjc7e4P5k4wszXATe5+dvT+PGAOYeDGAeAlwAeBy939ninLscxKmZKirrbiDa3ndoaSpP7hJHM7W+ueLxGRWlFJUQOZ2QLgZKDQ33TEgexvoNXAS4EfAFcDbwI+Hz2L1NXO0Qla4y20xcsMikZUUiQizUUlRQ3k7luAgg003H15zvsfUziAEqmrwbEkc0r0PAPo7QilQ/3D6pYvIs1FJUUiUpbB0YmS7Ylgd0nRDpUUiUiTUVAkImUZHJsoOUYRhIbWgLrli0jTUVAkImXZOVpeUNTboZIiEWlOCopEpCzllhTFYy3MaYurpEhEmo6CIhEpy+BYeW2KAHo7E/SPqKG1iDQXBUUiUpbBMqvPIDS23qGSIhFpMgqKRKQsOysoKZrb0apxikSk6SgoEpGSxiZSjE+kyxqnCKLqM41TJCJNRkGRiJQ0NJYCKL/6rCOh3mci0nQUFIlISQNRgDOnveAA7HuY25mgfziJu9czWyIiNaWgSERKyrQPyoxWXcrcjlYm0r7rT2RFRJqBgiIRKSlTFZYZmLGUeV3h/8+2DaldkYg0DwVFIlJSpUHR/O4QFG0ZVFAkIs1DQZGIlLQj6knWW2b12fyuNkAlRSLSXBQUiUhJ1ZYUbR0cq1ueRERqTUGRiJS0YyRJRyJGWzxW1vyZNkVbVVIkIk1EQZGIlNQ/nCzH/V6hAAAa50lEQVS7lAigPRGjuy3OFpUUiUgTUVAkIiXtGEmW3R0/Y353q9oUiUhTUVAkIiXtGEnSU0FJEYQqtK3qfSYiTURBkYiUtGOksuozCD3QVH0mIs1EQZGIlLRjJMncCoOiBao+E5Emo6BIREqqpqRoXlcIitJp/f+ZiDQHBUUNYmZnmZnnefx9ieV6zewHZrbdzHaY2SVmNn+q8i2zz/hEmuHxVOXVZ91tTKSdgdFknXImIlJb8UZnQDgJGMl6/2iJ+X8KHAycA6SB84ErgBfXJXcy622PRrOeFw3IWK75Xbv/6mNuZ2XLiog0goKixvuzuw+WM6OZHQ+cArzU3W+O0tYBt5nZy9392jrmU2apTA+yTJBTruxRrQ/ap7vm+RIRqTVVnzWXU4GNmYAIwN3/BDwWTROpua1DoQfZvOj/zMq1z5x2ADbuVA80EWkOCooab62ZTZjZQ2b2f0rMeyiwOk/6g9E0kZrL9CCbX2H12aKeEBRtGhiteZ5EROpB1WeNswH4BPAnIAa8Efi2mXW6+5cLLNMH9OdJ3w4cmG8BMzsXOBdgv/32m2yeZRbaUmX1WU9HnPZEC8/sUFAkIs1BQVGDuPtvgN9kJV1jZu3Ax83sq+6ertHnXABcALBy5Ur1jZaKbRsaI95i9LRX1vvMzNi3p13VZyLSNFR9Nr38HJgHLC8wfTvQmye9L5omUnNbB8fp62qlpcUqXnbfnnY2qqRIRJqEgqLpxXOec60mf9uhQm2NRCZty+B4xVVnGaGkSEGRiDQHBUXTyxuALcATBaZfAywysxMyCWa2ktCe6Jr6Z09mo21DYxU3ss5Y1NPGMztGcVfNrYhMf2pT1CBmdhmhkfU9hIbWZ0aP92baE5nZGuAmdz8bwN3/YGa/BS42sw+we/DGWzRGkdTL1qFxjuqbW9Wy+/a0MzaRZmBkgt7OytokiYhMNQVFjfMQ8A5gGWDAA8Db3P2/s+aJEwKmbGcCXwa+Tyjp+yXw3rrnVmatbYPjzJtE9RnAMwOjCopEZNpTUNQg7v4x4GMl5lmeJ60feHv0EKmr0WSKnWMTLKi2+qw3GsBxYJRDFs2pZdZERGpObYpEpKBNA6E7/T5RiU+lFmWVFImITHcKikSkoEwws6jKoGjfnnbMYN32kdIzi4g0mIIiESloYxQU7VtlUNQab2FRTztPbR+uZbZEROpCQZGIFLRxkiVFAMv6Onl6m0qKRGT6U1AkIgVtHBilPdFCT0f1fTKeNa9DJUUi0hQUFIlIQc8MjEXtgir/i4+MZX2dPDMwythEqoY5ExGpPQVFIlLQxoHRqtsTZSyb14k7rO9XDzQRmd4UFIlIQTUJivo6AHhqm6rQRGR6U1AkInm5OxsHRlnU0zap9Syb1wmgdkUiMu0pKBKRvLYPJxlNplnU2zGp9ezb005rrIUnVVIkItOcgiIRyStT3ZWp/qpWrMVYvqCTtZuGapEtEZG6UVAkInllqrsy1V+TcdA+3azdPDjp9YiI1JOCIhHJ66lowMWaBEULu3li6xCjSXXLF5HpS0GRiOT11PZh+joTdLdVP3Bjxop9ukk7PL5VVWgiMn0pKBKRvJ7ePlKTUiII1WcAazapCk1Epi8FRSKS19PbhlnWV5ugaMXCbswUFInI9KagSET2kk47T/eP8KxJ9jzLaE/EWNbXycMbd9ZkfSIi9aCgSET2sq5/hPGJNPvP76rZOo9Y2sO963bUbH0iIrWmoEhE9pLpPp9pC1QLRyzt5altI/QPj9dsnSIitaSgSET2kmn7U8ug6MilcwG4b91AzdYpIlJLCopEZC9rNw/R15lgXldrzdZ5xNIeAO5Z11+zdYqI1JKCIhHZy9pNgzUtJQKY29nKsnkd3Pu02hWJyPSkoKgBzOwMM/uFma0zs0Ezu93M/raM5TzP449TkWeZXdZuHmTFwtoGRQBHL+tj1RPbcfear1tEZLImP1StVOP9wGPA+4AtwGnApWa2wN2/XmLZLwI/z3qvPs5SU1sGx9g6NF7zkiKA4w6czy/uXs9jW4Y4sA5Bl4jIZCgoaoxXu/uWrPfXm9kSQrBUKih63N1VOiR1c//60BD68CW9NV/3Cw+cB8AfH92moEhEph1VnzVATkCUcSewZKrzIpLrvmgsoecs6an5ug9c0MWC7jZue2xrzdctIjJZCoqmj+OBh8uY7zwzmzCzLWb2fTObV++Myexy//od7D+/k96ORM3XbWYcd+A8bl27lXRa7YpEZHpRUDQNmNnJwGsJ7YWKuQj4P8BJwGeA04HfmVmsyLrPNbNVZrZq8+bNtcqyzGD3rRvgiDpUnWWcdOg+bN45ptGtRWTaUVDUYGa2HLgUuNLdLyw2r7uf5e6XufvN7v4l4E3AMcCriyxzgbuvdPeVCxcurF3GZUbaMZzkyW3Ddak6y3jZIfvQYnDtgxvr9hkiItVQUNRAUdXXNcATwJurWMWvgUFCYCQyaaue2AbAsfv31e0z+rpaWbl8Hr97QEGRiEwvCooaxMw6gV8CrcBfuftwpevw3YO9qHGG1MSfHttGa6yF5y2bW9fPOeU5+7L6mZ08tmWorp8jIlIJBUUNYGZx4GfAs4FXuvumKtfzSqAbuL2G2ZNZ7E+Pb+PIZ/XSnijYTK0m/urIJbQYXH7H03X9HBGRSigoaoxvEgZs/DQw38yOy3q0AZjZdWZ2XWaBqMH0BWb2N2Z2kpl9APgx8CfgV43YCJlZhscnuPfpHTz/gPp3aFzU286Ln72Qy25/Wr3QRGTaUFDUGKdEz18F/pDzWBxNi0WPjLXA4cC3gN8A/whcDJzi7qkpyLPMcH9Yu5WJtPOiFfOn5PNef+yzWL9jlFvW5Bu2S0Rk6mlE6wZw9+VlzHNizvvrgOvyzy0yedev3kRna4wXTEFJEYR2RQu6W/n+7x/jJQerZ6SINJ5KikQEd+eG1Zs44aAFtMXr254ooz0R4++OX86ND23m4Y36Cz8RaTwFRSLCAxsGWL9jlJMO3WdKP/ctx+1Pe6KFb924dko/V0QkHwVFIsKVd60n3mK84vBFU/q5fV2tnPWiA7jirnXcv14jXItIYykoEpnlUmnnyrvWceIh+9DX1Trln/+uE1cwtyPBZ65+kN1Db4mITD0FRSKz3O/XbGHjwBinH720IZ/f25Hgn15+ML9fs5X/uXNdQ/IgIgIKikRmvYtufZwF3a2cfNjUtifK9pbj9mfl/n2c94v7eWbHaMPyISKzm4IikVnssS1DXLd6E29+4f51H8W6mFiL8fkzjiKZct59ye2MTWjoLRGZegqKRGaxb9+4ltZYC28+br9GZ4UDFnTxhTOO4o4n+/no5fdqpGsRmXIavFFkllqzaSc/u/0pznrRAewzp73R2QHgVUcuZs2mg/nytQ/TFm/h31/7XFparNHZEpFZQkGRyCzk7nz26tV0tsb5h5etaHR29vDekw9iPJXiGzespX84yRfOOIquNt2qRKT+dKcRmYV+de8Grlu9iY+ddijzu9sanZ09mBkfOOUQ5na08tlrHmTNpkG+cMZRHLVsbqOzJiIznNoUicwym3aOct4v7ue5S3t5x18c0Ojs5GVmvPMlB3LxO17IwGiS07/5e/7lyvvYNKCeaSJSPwqKRGaRZCrNey65k8GxCb5wxlHEY9P7FnDCsxfwu/e/lDe/cH8uue1JXvy5G/iXK+/jwQ0Djc6aiMxAphFkZ4+VK1f6qlWrGp0NaZB02vnI5ffw01VP89U3Po/XPK8xgzVW6/EtQ/znDWv4xV3rGU+lee7SXl5x+L68/Dn7csi+czBTg2ypDzO73d1XNjofUn8KimYRBUWzl7vzqase4MJbH+e9Jx3E+085pNFZqtr2oXGuuGsdV9y5jrufDv+XtqinnZXL+3j+8nkcu38fB+87h9b49C4Fk+ahoGj2UFA0iygomp1Gkyk+fNk9XHnXes4+4QA+/qrDZkypyqaBUa5bvYlb125l1ePb2BCNhp2IGQftM4fDFs3hsMU9HLJoDgcs6GLJ3A5i6uIvFVJQNHsoKJpFFBTNPo9vGeKffnIXdz3VzwdfcQjvPnHFjAmI8lnXP8LtT2zngfUDrH5mgAc3DLBxYGzX9NZ4C/vP62T5gi4OiB7P6utgcW8HS+a209mqDrmyNwVFs4fuACIz0EQqzSW3Pcn5v15NvMX41puP4dTnLm50tupu6dwOls7t4K+PWrIrbdvQOA89s5PHtw7x+JYhHt0Snm96eDPjE+k9lu/tSLC4t50lczv2eM4ETYt622mLN+7vUESkvhQUicwg6bRz7YMb+dxvHmLNpkFOOGgBn3vDkSyZ29HorDXMvK5Wjl8xn+NXzN8jPZV21vePsK5/hA07RtiwY5QN/aNs2DHC+v5R7nxyO9uHk3utb0F3K0vmdrB8fhcHLuziwIXdrFjYxYELuuloVcAk0swUFInMADtHk1x19wa+d8ujPLp5iOXzO/nOW4/llOfsO6OryyYj1mIsm9fJsnmdBecZGU/tCpjW94dgacOOEEjd8eR2rrpnPdktEJb0trNin24OXBCCpQMXdrFiYTeLetr1dyUiTUBBkUiTGhhNcuuaLVx19waufXAjYxNpDl/Sw1ff+DxOe+5iEtN8DKJm0NEai4Kb7rzTR5MpHtsyxKObh1i7eZBHNw/y6JYhLrtjHYNjE7vXk4hxwIIu9pvXyeK57Szp7QjPcztY0tvBwjltagAuMg0oKBJpEv3D49zz9A7ufLKf/31kM3c+1U8q7czrauXM5y/jNc9byjH7zVXJ0BRqT8Q4bHEPhy3u2SPd3dm0cywKlIZ2Pa/ZPMjNj2xmeDy1x/zxFmPfnnaWzA3tlxbPbWefOe0snNPGPtFj4Zw2utviOr4idaSgqEHM7DnA14HjgX7ge8Cn3D1VYrle4CvAawkjkv8SeK+7b61vjmWqjIyneHRL+BJ9dPMQj2zayb3rdvDE1mEAzODIpb2866UrOOHZCzh2/z6VCk0zZiHI2bennRetWLDHNHdnYGSC9TtGdrVfWt+/u4rurqf6+fV9o4yn0nuttyMR2x0o9bSxsLuNfXramdfVSl9ngrmdrfR17n6tsZpEKqOgqAHMrA+4FngAeA2wAvgiIcj5eInFfwocDJwDpIHzgSuAF9crv1Ib6bSzc3SC7cPjbB0aY8OOUZ7ZMRqeB8LrzJdjhlnoUXXEkl7OfP4yjnrWXI5Y2ktvR6KBWyKTYWb0dibo7UzsVcKU4e7sGEmyaecYm3eOsWnnaHgeGGPzYHh+eOMgtzyyhYHRibzrAOhsjdHX2crczgR9na30diboaY/T3Ranuy1Bd3ucOW1xujNpOe+7WuNqCyWzioKixvh7oAN4nbsPAL8zsx7gPDP7XJS2FzM7HjgFeKm73xylrQNuM7OXu/u1U5T/WcXdmUg7I8kUQ2MT0SO8HhybYHg8xeCu9AmGxlMMjCTZPpykf3icbcPj9Eev03mGBetIxFg8t53FvaFUYfn8zl2NdA9Y0EV7Qj2aZhszY25nK3M7Wzl43zlF5x1Nptg+PM72oXCObR9Osn14POd1eF7fP8Jg1nlbjrZ4Cx2tMdrjsfCciNGRCGkdiRhtifDckdg9vT3RQmushbZ4C4lYC63x8Nj1Out5r7R4C4mY7UpTdaFMJQVFjXEq8Juc4OfHhFKflwJXFVluYyYgAnD3P5nZY9G0KQ2K3J20Q9qdtDu+63V49vTuaanc6ens97uXmUg5qbQzkU6TSjvJrPcTqRCcZL8Pr51UOp01rzORSmfNu/v92ESasYkU4xPp6HWa8YlUeJ2MpqUyr9PRfKm8wUwhXa0x5rQn6IuqNA5b1LPrl3ombV5XK4t7O1jU205Pu9qJSPXaE7HQDqm3smEXJlJphqKAfnB0gsGxJDtHJ7LeT7BzdILRiRSj4ylGk2lGkilGkilGkylGxlP0DyfD+/FMepinluItRjxmxFtaiLUYiZgRawnv47te7/k+Ec0bljNiLS3hOWYkst5nT0/EjJYWI2ZhHdkPmT0UFDXGocD12Qnu/qSZDUfTCgVFhwKr86Q/GE0r6uGNOznpCzfuGbjkBCbuIZAoNj172nSXuanFo+e2eIy2eAttiRba4jFa4+HXbHdbnPldsZAe2z29Lfrl2hZvoT0Ro7stTmdbnO62GJ2tURVDW5yu1hhdbXE6EjFVN0hTiMda6O1oqXlVrLszmkwzngo/KpJZz2MTIT2ZeU6ld/1ASaZ8j/mzl9/9Aykd/cjZ/WOo0PtU2hmdSIUfRqnoh1Tmh1Jq9w+vzPzJVDr8gIvufzI7KShqjD5C4+pc26Np1Sx3YL4FzOxc4FyAniUHcvjSXloMWsyw6Hn3+92vYy3Fp7cY0Xsj1rL7dd51t4RlY/mmt+y57swvvlhsdyCTiLXsEdhkv4/HWnal576PmSlAEZliZhaq1mjeat/Mj8OUO+k0dJ7f6BzJVFFQNMO5+wXABRD+++zrf3t0g3MkIjK9mUVVa43OiEw59ddsjO1Ab570vmharZcTERGREhQUNcZqctoAmdkyoJP8bYYKLhcp1NZIREREyqSgqDGuAV5hZtl9bc8ERoCbSiy3yMxOyCSY2UpCe6Jr6pFRERGR2UJBUWN8GxgDLjezl0eNoc8DvpTdTd/M1pjZf2Xeu/sfgN8CF5vZ68zstcAlwC0ao0hERGRyFBQ1gLtvB04GYoTu958Cvgx8MmfWeDRPtjMJpUnfBy4GbgdOr2d+RUREZgM1rm8Qd38AOKnEPMvzpPUDb48eIiIiUiMqKRIRERFBQZGIiIgIAObN8F8NUhNmthN4qNH5qKMFwJZGZ6KOtH3NayZvG8z87TvE3Yv/M6/MCGpTNLs85O4rG52JejGzVdq+5jWTt28mbxvMju1rdB5kaqj6TERERAQFRSIiIiKAgqLZ5oJGZ6DOtH3NbSZv30zeNtD2yQyhhtYiIiIiqKRIREREBFBQJCIiIgIoKJoRzOw5ZnadmQ2b2Xoz+1czy/3PtHzLrTSz35rZtuhxrZm9cCryXAkzO8jMvmNm95hZysxuLHO5XjP7gZltN7MdZnaJmc2vc3YrUs22mdnzo+1aEx3zh8zsk2bWPgVZrki1xy5r+RYzW2VmbmZ/VadsVm0y2xf9qfOfzWzEzLaa2a/NrKuO2a3YJK69aX9vMbMzzOwXZrbOzAbN7HYz+9sylmszsy+a2SYzGzKzX5nZ8vrnWKaCgqImZ2Z9wLWAA68B/hX4f4Q/mS223LJouTjw1ugRB35nZvvXM89VOBw4jTDw5MMVLPdT4ETgHOAs4PnAFTXO22RVs21nAiuA86NlvwG8H7ikHhmcpGqPXcY5wLNqmqPaqmr7zOwc4FLgGuBUwnY+wvQbO67i7Wuie8v7gUHgfcBfAzcAl5rZ/y2x3NcI95MPAG8gDFz5u+n4o0Sq4O56NPED+CiwHejJSvsQMJydlme5vwdSQG9WWl+U9q5Gb1dOXluyXv8cuLGMZY4nBIovyUp7QZT28kZv0yS3bUGetHOjbdu/0ds02e3Lmr8P2AycHW3bXzV6e2p1/ICdwDsbnf86bV9T3FsKXEeXAo8VWeZZwATwtqy0pcA4cE6jt0mPyT9UUtT8TgV+4+4DWWk/BjqAlxZZLkG4uIey0gajNKt1JifD3dNVLHYqsNHdb85az5+Ax6Jp00I12+bu+f5O4c7oecnkclRbVR67jE8Dvweuq1F2aq7K7fub6PmiWualHqrcvqa4txS5jopdQ6dEz5dnrWcdcAvT6L4i1VNQ1PwOBVZnJ7j7k4SSokOLLHdZNM8XzWwfM9sH+DKh1OlndcrrVNprv0QepPh+aVbHA2lgbaMzUgtmdiTwDkIVxUzzQkJ11Nlm9rSZJc3sNjN7UaMzViPNfG85nuLVhIcCT7v7YE76TL2vzDoKippfH9CfJ317NC0vd18PvAx4PbAxerwOeIW7b65DPqdaVfulGZnZIuDjwH+7+6ZG56dGvg78p7uvaXRG6mARcAjhmH0YeDWhVOXXZrZvIzNWC816bzGzk4HXAl8sMtusua/MVgqKZikzW0z41XY7odj31Oj1r8xsv0bmTcpnZq2EBuWZBqNNz8zeSAga/q3ReakTA7qBs939Enf/NeHLOAW8p6E5q4FmvLdEvccuBa509wsbmhlpqOnW00Eqtx3ozZPeF00r5IOEuv83uHsSwMyuJ/SA+QDw3hrnc6ptBxbmSS+1X5qGmRlwMaGH0F+4e9Nvl5klgM8Teta1mNlcoCea3GVmc9x9Z8MyWBvbCQ3Hb8wkuPuAmd0OPKdRmaqhprq3mNk8Qi/AJ4A3l5i92vutNAmVFDW/1eTUZUddYjvJ36Ym41Dg/sxNC8Ddx4H7Cd29m91e+yVSqK1RM/oKYRiG17j7TNmmLkIPny8RvmS2A3dH037M7gblzexBQmlRbqNjI7QLa3ZNc28xs07gl0AroXfjcIlFVgPL8ownNZPuK7OagqLmdw3wCjObk5V2JjAC3FRkuSeAI6LqFyAMSgYcATxeh3xOtWuARWZ2QibBzFYCB0bTmpqZfZRQ1fIWd7+l0fmpoUFCe5TsR2ZAvY9R+pd8M/hl9PyyTIKZ9QLHsjsAbGZNcW8xszihmu/ZwCvLbI/32+j59Kz1LAFezAy4r4iqz2aCbxOKoy83s/MJX/rnAV/K7qZvZmuAm9z97Cjpe4QB4/7HzL5J+JX6D8Biptk/Qke/5k6L3i4FeszsDdH7q919OHf73P0PZvZb4GIz+wDhF/j5wC3ufu0Ub0JB1Wybmb0J+AxwIbDOzI7LWuXa6dSYtdLtc/cJsqqVonUsj17e6+631T/X5avy3FxlZlcC/2VmHwG2EMYWSxIG4pw2qtk+mufe8k3Ctv0jMN/2HO3+TncfM7PrANz95Oj5aTP7L+ArUfX1ZsL99gngh1OZeamTRg+UpMfkH4R2CNcTSoc2EMZ3ieXM8zhwYU7aycDNwLbocRNwYqO3J8/2LSe0wcj3WF5k++YCPyD0FhkgNKTca8C2Zts2QjBUaJmzGr1NtTh2BdYxHQdvrPbc7Aa+BWyNrttrgec2entquH3T/t4S5bvUtt1IzoCVQBuhenczodfg1cABjd4ePWrzsOggi4iIiMxqalMkIiIigoIiEREREUBBkYiIiAigoEhEREQEUFAkIiIiAigoEhEREQEUFImIiIgACopEREREAPj/IVBovZ8sebAAAAAASUVORK5CYII=\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "postPredDist(models.twoGaussianList, models.uniformList, hyp1Posterior)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hypothesis #2 PPD" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "postPredDist(models.singleGaussianList, models.singleGaussianList, hyp2Posterior)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Main Code/Plotting/ResultsPlotting.ipynb b/Main Code/Plotting/ResultsPlotting.ipynb @@ -0,0 +1,1378 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Samples found and loaded.\n" + ] + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import corner\n", + "\n", + "import pymultinest\n", + "\n", + "#Imports\n", + "import numpy as np\n", + "from scipy import stats\n", + "from scipy.special import erf\n", + "import json\n", + "import os\n", + "import sys\n", + "import random\n", + "\n", + "from math import log10, floor\n", + "\n", + "\n", + "### Top directory for the location of project files. MUST BE CHANGED TO RUN ON OTHER USERS!\n", + "topDirectory = ''\n", + "\n", + "### Create samples if they do not exist; runs code from createSamples.py\n", + "if not os.path.exists(topDirectory + \"Samples/pulsarSamples.npy\"):\n", + " print(\"Samples NOT found\")\n", + " sys.exit()\n", + "else:\n", + " print(\"Samples found and loaded.\")\n", + "\n", + "### Load samples from files\n", + "pulsarMassSamples = np.load(topDirectory + 'Samples/pulsarSamples.npy')\n", + "companionMassSamples = np.load(topDirectory + 'Samples/companionSamples.npy')\n", + "totalMassSamples = np.load(topDirectory + 'Samples/totalSamples.npy')\n", + "bothMassSamples = np.load(topDirectory + 'Samples/bothSamples.npy')\n", + "ratioSamples = np.load(topDirectory + 'Samples/ratioSamples.npy')\n", + "chirpSamples = np.load(topDirectory + 'Samples/chirpSamples.npy')\n", + "\n", + "\n", + "bothCorrSamples = np.load(topDirectory + 'Samples/bothCorrSamples.npy')\n", + "\n", + "### PDF functions\n", + "# Single Gaussian Functions\n", + "def evalSingleGaussian(theta, x):\n", + " mu, sig = theta[0], theta[1]\n", + " return stats.norm(mu, sig).pdf(x)\n", + "\n", + "# Two Gaussian Functions\n", + "def evalTwoGaussian(theta, x):\n", + " mu1, mu2, sig1, sig2, alpha = theta\n", + " return alpha * stats.norm(mu1, sig1).pdf(x) + (1-alpha) * stats.norm(mu2, sig2).pdf(x)\n", + "\n", + "\n", + "# Uniform Functions\n", + "def evalUniform(theta, x):\n", + " mMin, mMax = theta[0], theta[1]\n", + " return stats.uniform(mMin, mMax-mMin).pdf(x)\n", + "\n", + "def evalUniformLowerOnly(theta, x):\n", + " mMin = theta[0]\n", + " return stats.uniform(mMin, 1-mMin).pdf(x)\n", + "\n", + "\n", + "# Half Gaussian Functions\n", + "def evalHalfGaussian(theta, x):\n", + " sigma = theta[0]\n", + " \n", + " #Calls erf from scipy\n", + " normaliser = 1/(erf(0.3889/sigma))\n", + " \n", + " return np.piecewise(x, [(0.45 <= x) & (x <= 1)], [lambda x:normaliser * ((2**(1.0/2))/(sigma*(np.pi**(1.0/2))))*np.exp(-((x-1)/(sigma*2**(1.0/2)))**2), 0])\n", + " \n", + " \n", + "def evalTwoHalfGaussian(theta, x):\n", + " sigma1, mu2, sigma2, alpha = theta[0], theta[1], theta[2], theta[3]\n", + " \n", + " normaliser1 = 1/(erf(0.3889/sigma1))\n", + " normaliser2numerator = 2/(sigma2*(np.pi*2)**(1.0/2))\n", + " normaliser2denominator = erf((1-mu2)/(sigma2*2**(1.0/2))) + erf((mu2-0.45)/(sigma2*2**(1.0/2)))\n", + " \n", + " #lambda x: alpha * normaliser1 * ((2**(1.0/2))/(sigma*(np.pi**(1.0/2))))*np.exp(-((x-1)/(sigma*2**(1.0/2)))**2) + (1-alpha)*(normaliser2numerator/normaliser2denominator)*np.exp(-((x-mu2)/(sigma2*2**(1.0/2)))**2)\n", + " \n", + " #Calls erf from scipy\n", + " return np.piecewise(x, [(0.45 <= x) & (x <= 1)], [lambda x: alpha * normaliser1 * ((2**(1.0/2))/(sigma1*(np.pi**(1.0/2))))*np.exp(-((x-1)/(sigma1*2**(1.0/2)))**2) + (1-alpha)*(normaliser2numerator/normaliser2denominator)*np.exp(-((x-mu2)/(sigma2*2**(1.0/2)))**2), 0])\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x1440 with 17 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "######################### NEW FIG 2 ##########################\n", + "\n", + "pulsarPDFarray = np.transpose(np.loadtxt(topDirectory + 'Samples/pdfmr_0820_5p.txt'))\n", + "companionPDFarray = np.transpose(np.loadtxt(topDirectory + 'Samples/pdfms_0820_5p.txt'))\n", + "extraStarNames = [r\"J1946+2052\", r\"J1411+2551\", r\"J1811$-$1736\", r\"J1829+2456\", r\"J1930$-$1852\", ]\n", + "\n", + "starOrder = [2, 0, 9, 4, 3, 6, 11, 5, 1, 8, 10, 7]\n", + "\n", + "starnames = np.genfromtxt('PSR_BNSmass.txt', dtype='str')[:,0]\n", + "starNameList = [r'{}'.format(starname.replace('-','$-$')) for starname in starnames]\n", + "\n", + "#plotRange = [1, 1.8]\n", + "plotRange = [0.8, 2]\n", + "\n", + "starNameListOrdered = [starNameList[i] for i in starOrder]\n", + "pulsarMassOrdered = [pulsarMass[i] for i in starOrder]\n", + "pulsarUncertaintyOrdered = [pulsarUncertainty[i] for i in starOrder]\n", + "companionMassOrdered = [companionMass[i] for i in starOrder]\n", + "companionUncertaintyOrdered = [companionUncertainty[i] for i in starOrder]\n", + "\n", + "\n", + "plt.figure(num=None, figsize=(20, 20), facecolor='w', edgecolor='k')\n", + "\n", + "masterOrder = [12, 2, 0, 9, 4, 3, 6, 11, 5, 1, 8, 10, 7, 15, 13, 16, 14]\n", + "weirdPDForder = [12, 15, 13, 16, 14]\n", + "\n", + "\n", + "##### NEW #####\n", + "for index, (pPDF, cPDF) in enumerate(zip(pulsarPDFarray, companionPDFarray)):\n", + " starNumber = weirdPDForder[index]\n", + " \n", + " \n", + " subplotIndex = masterOrder.index(starNumber)\n", + " plt.subplot(6, 3, subplotIndex+1)\n", + "\n", + " \n", + " xValues = np.linspace(0.8, 2, 1201).flatten()\n", + " plt.fill_between(xValues, pPDF, color='green', alpha=0.5)\n", + " plt.fill_between(xValues, cPDF, color='cyan', alpha=0.5)\n", + " \n", + " plt.xlabel(r\"$m$ ($M_\\odot$)\", fontsize=18)\n", + " #plt.ylabel(r\"P($m_r,m_s$)\", fontsize=18)\n", + " plt.xlim(plotRange)\n", + " plt.ylim(ymin=0)\n", + " plt.tick_params(axis='x', labelsize=18)\n", + " plt.title(extraStarNames[index], fontsize=22)\n", + " plt.rc('ytick', labelsize=0) \n", + " \n", + " frame1 = plt.gca()\n", + " frame1.axes.yaxis.set_ticklabels([])\n", + " \n", + "#plt.show()\n", + "\n", + "############################ OLD ################\n", + "\n", + "for index, ((mass1, unc1), (mass2, unc2)) in enumerate(zip(zip(pulsarMassOrdered, pulsarUncertaintyOrdered), zip(companionMassOrdered, companionUncertaintyOrdered))):\n", + " \n", + " starNumber = starOrder[index]\n", + " \n", + " subplotIndex = masterOrder.index(starNumber)\n", + " plt.subplot(6, 3, subplotIndex+1)\n", + " \n", + " xValues1 = np.linspace(mass1-5.5*unc1, mass1+4*unc1, 5000)\n", + " xValues2 = np.linspace(mass2-5.5*unc2, mass2+4*unc2, 5000)\n", + " \n", + " yValues1 = evalSingleGaussian([mass1, unc1], xValues1)\n", + " yValues2 = evalSingleGaussian([mass2, unc2], xValues2)\n", + " \n", + "# plt.plot(xValues1, yValues1, linewidth=4, color='green', alpha=0.5)\n", + "# plt.plot(xValues2, yValues2, linewidth=4, color='cyan', alpha=0.5)\n", + " \n", + " #plt.plot(xValues1, yValues1, color='green', linewidth=5)\n", + " #plt.plot(xValues2, yValues2, color='cyan', linewidth=5)\n", + " \n", + " \n", + " if index in [1, 3, 5, 7, 9]:\n", + " plt.plot(xValues1, yValues1, color='#84BF7D', linewidth=2)\n", + " plt.plot(xValues2, yValues2, color='#8FFFFE', linewidth=2)\n", + " \n", + " \n", + " plt.fill_between(xValues1, yValues1, color='green', alpha=0.5)\n", + " plt.fill_between(xValues2, yValues2, color='cyan', alpha=0.5)\n", + " \n", + "# plt.fill_between(xValues1, yValues1, color='green')\n", + "# plt.fill_between(xValues2, yValues2, color='cyan')\n", + " \n", + " #plt.hist(pulsarSample, bins=binz, color='green', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " #plt.hist(companionSample, bins=binz, color='cyan', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " \n", + " \n", + " plt.xlabel(r\"$m$ ($M_\\odot$)\", fontsize=18)\n", + " #plt.ylabel(r\"P($m_r,m_s$)\", fontsize=18)\n", + " plt.xlim(plotRange)\n", + " plt.ylim(ymin=0)\n", + " plt.tick_params(axis='x', labelsize=18)\n", + " plt.rc('ytick', labelsize=0) \n", + " \n", + " \n", + " frame1 = plt.gca()\n", + " frame1.axes.yaxis.set_ticklabels([])\n", + " \n", + " plt.title(starNameListOrdered[index], fontsize=22)\n", + "#plt.figlegend([\"Pulsar Samples\", \"Companion Samples\"], loc='upper center', bbox_to_anchor=(0.5, 0.325), prop={'size': 20})\n", + "\n", + "plt.tight_layout()\n", + "\n", + "#plt.suptitle('Pulsar Star Masses',fontsize=30)\n", + "plt.savefig(\"plotOutput/\" + 'fig_pcSamples', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1.0000000019671118, 1.7940241826375748e-11)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy import integrate\n", + "integrate.quad(lambda x: evalTwoHalfGaussian([0.13, 0.5, 0.12, 0.2], x), 0.45, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def loadData(filePath):\n", + " #Loads text file into an array, excluding the name column.\n", + " stringArray = np.genfromtxt(filePath, dtype='str')[:,1:]\n", + " #Converts strings to floats\n", + " floatArray = stringArray.astype(np.float)\n", + " return floatArray\n", + "\n", + "### Load core data (See Table 1 of paper).\n", + "coreData = loadData(topDirectory + 'PSR_BNSmass.txt')\n", + "\n", + "### Load total mass data\n", + "totalData = loadData(topDirectory + 'BNSmtot.txt')\n", + "\n", + "pulsarMass, pulsarUncertainty, companionMass, companionUncertainty = np.transpose(coreData[:,:4])\n", + "totalMass, totalUncertainty = np.transpose(totalData)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "def cornerPlot(samples, bounds, parameterNames):\n", + " plt.rcParams.update({'font.size': 15})\n", + " return corner.corner(samples, bins=50, smooth=0.9, label_kwargs=dict(fontsize=16), show_titles=True, range=bounds, title_kwargs=dict(fontsize=16), color='#3fcca6', labels=parameterNames, plot_density=False, plot_datapoints=True, fill_contours=True, max_n_ticks=5)\n", + " \n", + "\n", + "\n", + "def createPostConer(dataName, modelName, plotrange, parameterNames, save=False):\n", + " \n", + " prefix = 'out/' + dataName + '/' + modelName + '/'\n", + " \n", + " nDims = len(plotrange)\n", + " a = pymultinest.analyse.Analyzer(nDims, outputfiles_basename=prefix)\n", + " paramList=[]\n", + " for params in a.get_equal_weighted_posterior():\n", + " paramList.append(params)\n", + " \n", + " paramArray = np.asarray(paramList)\n", + " \n", + " round_to_n = lambda x, n: round(x, -int(floor(log10(x))) + (n - 1))\n", + " \n", + " for index, pName in enumerate(parameterNames):\n", + " #print(np.shape(paramArray))\n", + " \n", + " paramPerc = np.percentile(paramArray[:,index],[5, 16, 50, 84, 95])\n", + " roundedPercentiles = [str(round(number, 3)) for number in paramPerc]\n", + " \n", + " for index in range(len(roundedPercentiles)):\n", + " number = roundedPercentiles[index]\n", + " if len(number.split('.')[1]) < 3:\n", + " roundedPercentiles[index] = number + '0'\n", + " \n", + " gapChar = \" & \"\n", + " print(\" & \" + pName + \" & \" + gapChar.join(roundedPercentiles) + \"\\\\\"+ \"\\\\\")\n", + " \n", + " livePoints = paramArray\n", + " cnr = cornerPlot(livePoints[:,:nDims], plotrange, parameterNames)\n", + " \n", + " \n", + " if save == True:\n", + " saveName = \"plotOutput/\" + dataName + 'Corner.png'\n", + " cnr.savefig(saveName, dpi=200)\n", + " \n", + "\n", + " \n", + " return cnr" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['0.129']\n" + ] + } + ], + "source": [ + "paramPerc = [0.1293]\n", + "roundedPercentiles = [str(round(number, 3)) for number in paramPerc]\n", + " \n", + "for index in range(len(roundedPercentiles)):\n", + " number = roundedPercentiles[index]\n", + " if len(number.split('.')[1]) < 3:\n", + " roundedPercentiles[index] = number + '0'\n", + "\n", + "print(roundedPercentiles)\n", + "# round_to_n = lambda x, n: round(x, -int(floor(log10(x))) + (n - 1))\n", + "# round_to_n(0.1299, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/ratio/half/.txt\n", + " & $\\sigma$ & 0.086 & 0.098 & 0.122 & 0.157 & 0.193\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 244.8x244.8 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cnr = createPostConer('ratio', 'half', [(0.00, 0.1)], [r'$\\sigma$'], save=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/ratio/uniformRatio/.txt\n", + " & a & 0.665 & 0.70 & 0.733 & 0.748 & 0.754\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 244.8x244.8 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cnr = createPostConer('ratio', 'uniformRatio', [(0.5,0.8)], ['a'], save=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/pulsar/twoGaussian/.txt\n", + " & $\\mu_{1}$ & 1.321 & 1.334 & 1.342 & 1.351 & 1.363\\\\\n", + " & $\\mu_{2}$ & 1.352 & 1.421 & 1.516 & 1.617 & 1.723\\\\\n", + " & $\\sigma_{1}$ & 0.007 & 0.010 & 0.016 & 0.035 & 0.184\\\\\n", + " & $\\sigma_{2}$ & 0.033 & 0.081 & 0.147 & 0.275 & 0.391\\\\\n", + " & $\\alpha$ & 0.331 & 0.486 & 0.670 & 0.810 & 0.881\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 849.6x849.6 with 25 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(1.3,1.4), (1.3,1.75), (0,0.05), (0,0.5), (0,1)]\n", + "cnr = createPostConer('pulsar', 'twoGaussian', plotrange, [r'$\\mu_{1}$', r'$\\mu_{2}$', r'$\\sigma_{1}$', r'$\\sigma_{2}$', r'$\\alpha$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/companion/uniform/.txt\n", + " & $m_s^{l}$ & 1.094 & 1.128 & 1.158 & 1.171 & 1.175\\\\\n", + " & $m_s^{u}$ & 1.396 & 1.401 & 1.420 & 1.462 & 1.505\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 396x396 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(1,1.2),(1.35,1.7)]\n", + "cnr = createPostConer('companion', 'uniform', plotrange, [r'$m_s^{l}$', r'$m_s^{u}$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/total/uniform/.txt\n", + " & $M_T^{l}$ & 2.430 & 2.466 & 2.506 & 2.535 & 2.550\\\\\n", + " & $M_T^{u}$ & 2.855 & 2.865 & 2.885 & 2.916 & 2.948\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 396x396 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(2.3,2.6),(2.8,3)]\n", + "cnr = createPostConer('total', 'uniform', plotrange, [r'$M_T^{l}$', r'$M_T^{u}$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/both/singleGaussian/.txt\n", + " & $\\mu$ & 1.311 & 1.326 & 1.348 & 1.371 & 1.386\\\\\n", + " & $\\sigma$ & 0.081 & 0.089 & 0.105 & 0.124 & 0.140\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 396x396 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(1.2,1.5),(0.05,0.2)]\n", + "cnr = createPostConer('both', 'singleGaussian', plotrange, [r'$\\mu$', r'$\\sigma$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/chirp/uniform/.txt\n", + " & $\\mathcal{M}_c^{l}$ & 1.076 & 1.094 & 1.109 & 1.115 & 1.116\\\\\n", + " & $\\mathcal{M}_c^{u}$ & 1.233 & 1.236 & 1.246 & 1.262 & 1.280\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 396x396 with 4 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(1,1.15),(1.2,1.4)]\n", + "cnr = createPostConer('chirp', 'uniform', plotrange, [r'$\\mathcal{M}_c^{l}$', r'$\\mathcal{M}_c^{u}$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/ratio/half/.txt\n", + " & $\\sigma$ & 0.086 & 0.098 & 0.122 & 0.157 & 0.193\\\\\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 244.8x244.8 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(0.04, 0.3)]\n", + "cnr = createPostConer('ratio', 'half', plotrange, [r'$\\sigma$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " analysing data from out/ratio/uniformRatio/.txt\n", + " & $q^{l}$ & 0.665 & 0.70 & 0.733 & 0.748 & 0.754\\\\\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 244.8x244.8 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotrange = [(0.0, 1)]\n", + "cnr = createPostConer('ratio', 'uniformRatio', plotrange, [r'$q^{l}$'], save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def createPredPostDist(dataName, modelName, evalFunction, plotrange, ndims, modelNum, drawNumber=1000, massSamples=[], showSampleLines=False, save=False):\n", + "\n", + " prefix = 'out/' + dataName + '/' + modelName + '/'\n", + " \n", + " nDims = ndims\n", + " \n", + " a = pymultinest.analyse.Analyzer(nDims, outputfiles_basename=prefix)\n", + " \n", + " paramList=[]\n", + " for params in a.get_equal_weighted_posterior():\n", + " paramList.append(params)\n", + " \n", + " paramArray = np.asarray(paramList)\n", + " #print(np.shape(paramArray))\n", + " \n", + " paramsWithoutEvidence = paramArray[:,:-1].tolist()\n", + " #print(np.shape(paramsWithoutEvidence)) \n", + " \n", + "\n", + " drawnParams = [random.choice(paramsWithoutEvidence) for i in range(drawNumber)]\n", + " \n", + " xValues = np.linspace(plotrange[0], plotrange[1], 5000) \n", + " plt.xlim(plotrange[0], plotrange[1])\n", + " \n", + " \n", + " yValueList = []\n", + " for params in drawnParams:\n", + " #print(params)\n", + " yValues = evalFunction(params, xValues)\n", + " yValueList.append(yValues)\n", + "\n", + " \n", + " print(np.shape(np.asarray(yValueList)))\n", + " \n", + " yValueArray = np.asarray(yValueList)\n", + " \n", + " meanyValues = np.mean(yValueArray, axis=0)\n", + " \n", + "# if len(massSamples != 0):\n", + "# weights = np.ones_like(massSamples.flatten())/float(len(massSamples.flatten()))\n", + "# #plt.hist(massSamples.flatten(), bins=12, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, weights=weights)\n", + " \n", + "# plt.hist(massSamples.flatten(), bins=40, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " \n", + " if showSampleLines == True:\n", + " for yValues in yValueList:\n", + " plt.plot(xValues, yValues, alpha=0.1)\n", + "\n", + " \n", + " if modelNum == 0:\n", + " plt.plot(xValues, meanyValues, color='#3fcca6', linewidth=3)\n", + " else:\n", + " plt.plot(xValues, meanyValues, color='#3fcca6', alpha=0.3)\n", + " #plt.plot(xValues, meanyValues, color='#3fcca6', alpha=0.3, scaley=False)\n", + " \n", + " if save == True:\n", + " saveName = \"plotOutput/\" + dataName + 'Fit.png'\n", + " plt.savefig(saveName, dpi=200)\n", + " \n", + " #plt.show()\n", + " return meanyValues\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "modelList = [['singleGaussian', evalSingleGaussian, 2], ['twoGaussian', evalTwoGaussian, 5], ['uniform', evalUniform, 2], ['uniformRatio', evalUniformLowerOnly, 1], ['half', evalHalfGaussian, 1]]\n", + "\n", + "def createMultiPredPostdataName(dataName, modelList, plotrange, plotLabels=[\"M\",\"P(M)\"], binz=40, drawNumber=1000, massSamples=[], showSampleLines=False, save=False):\n", + " plt.gcf().clear()\n", + " #plt.gca()\n", + " plt.rcParams.update({'font.size': 15})\n", + " \n", + " plt.gcf().subplots_adjust(bottom=0.15)\n", + " \n", + " plt.xlabel(plotLabels[0]); plt.ylabel(plotLabels[1])\n", + " \n", + " if len(massSamples != 0):\n", + " plt.hist(massSamples.flatten(), bins=binz, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " \n", + " \n", + " for index, (modelName, evalFunction, modelDims) in enumerate(modelList):\n", + " createPredPostDist(dataName, modelName, evalFunction, plotrange, modelDims, index, drawNumber, [], showSampleLines=False, save=False)\n", + " \n", + " \n", + " if save == True:\n", + " saveName = \"plotOutput/\" + dataName + 'Fit.png'\n", + " plt.savefig(saveName, dpi=200)\n", + " return plt" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pulsarModels = [modelList[i] for i in [1, 0, 2]]\n", + "createMultiPredPostdataName('pulsar', pulsarModels, [1.1, 1.8], [r'$m_r$ ($M_\\odot$)',r'P($m_r$)'], 15, 2000, pulsarMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "companionModels = [modelList[i] for i in [2, 0, 1]]\n", + "createMultiPredPostdataName('companion', companionModels, [1.0, 1.7], [r'$m_s$ ($M_\\odot$)',r'P($m_s$)'], 15, 2000, companionMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "totalModels = [modelList[i] for i in [2, 0, 1]]\n", + "createMultiPredPostdataName('total', totalModels, [2.3, 3], [r'$M_T$ ($M_\\odot$)',r'P($M_T$)'], 12, 2000, totalMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bothModels = [modelList[i] for i in [0, 1, 2]]\n", + "createMultiPredPostdataName('both', bothModels, [1, 1.7], [r'$m$ ($M_\\odot$)',r'P($m$)'], 15, 5000, bothMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "chirpModels = [modelList[i] for i in [2, 0, 1]]\n", + "createMultiPredPostdataName('chirp', chirpModels, [1.05, 1.3], [r'$\\mathcal{M}_c$ ($M_\\odot$)',r'P($\\mathcal{M}_c$)'], 8, 2000, chirpSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "ratioModels = [modelList[i] for i in [4, 3]]\n", + "createMultiPredPostdataName('ratio', ratioModels, [0.45, 1], [r'$q$',r'P($q$)'], 15, 5000, ratioSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.figure(num=None, figsize=(20, 20), facecolor='w', edgecolor='k')\n", + "\n", + "i = 0\n", + "plt.subplot(5, 5, i + 1)\n", + "pulsarModels = [modelList[i] for i in [1, 0, 2]]\n", + "createMultiPredPostdataName('pulsar', pulsarModels, [1.1, 1.8], [r'$m_r$ ($M_\\odot$)',r'P($m_r$)'], 15, 1000, pulsarMassSamples, save=False)\n", + "\n", + "i += 1\n", + "plt.subplot(5, 5, i + 1)\n", + "companionModels = [modelList[i] for i in [2, 0, 1]]\n", + "createMultiPredPostdataName('companion', companionModels, [1.0, 1.7], [r'$m_s$ ($M_\\odot$)',r'P($m_s$)'], 15, 1000, companionMassSamples, save=False)\n", + "\n", + "i += 1\n", + "plt.subplot(5, 5, i + 1)\n", + "totalModels = [modelList[i] for i in [2, 0, 1]]\n", + "createMultiPredPostdataName('total', totalModels, [2.3, 3], [r'$M_T$ ($M_\\odot$)',r'P($M_T$)'], 12, 1000, totalMassSamples, save=False)\n", + "\n", + "i += 1\n", + "plt.subplot(5, 5, i + 1)\n", + "chirpModels = [modelList[i] for i in [2, 0, 1]]\n", + "createMultiPredPostdataName('chirp', chirpModels, [1.05, 1.3], [r'$\\mathcal{M}_c$ ($M_\\odot$)',r'P($\\mathcal{M}_c$)'], 8, 1000, chirpSamples, save=False)\n", + "\n", + "i += 1\n", + "plt.subplot(5, 5, i + 1)\n", + "ratioModels = [modelList[i] for i in [4, 3]]\n", + "createMultiPredPostdataName('ratio', ratioModels, [0.45, 1], [r'$q$',r'P($q$)'], 15, 1000, ratioSamples, save=False)\n", + "\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#createPredPostDist('pulsar', 'twoGaussian', evalTwoGaussian, [1.2, 1.8], 5, 5000, pulsarMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#createPredPostDist('companion', 'uniform', evalUniform, [1.1, 1.5], 2, 5000, companionMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#createPredPostDist('total', 'uniform', evalUniform, [2.35, 3], 2, 5000, totalMassSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#createPredPostDist('chirp', 'uniform', evalUniform, [1.05, 1.3], 2, 5000, chirpSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#createPredPostDist('ratio', 'half', evalHalfGaussian, [0.45, 1], 1, 5000, ratioSamples, save=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy import integrate\n", + "from scipy import optimize\n", + "\n", + "# import warnings\n", + "# warnings.filterwarnings('error')\n", + "\n", + "\n", + "prefix = 'out/' + 'ratio' + '/' + 'half' + '/'\n", + "\n", + "nDims = 1\n", + " \n", + "a = pymultinest.analyse.Analyzer(nDims, outputfiles_basename=prefix)\n", + " \n", + "paramList=[]\n", + "for params in a.get_equal_weighted_posterior():\n", + " paramList.append(params)\n", + " \n", + "paramArray = np.asarray(paramList)\n", + "#print(np.shape(paramArray))\n", + " \n", + "paramsWithoutEvidence = paramArray[:,:-1].tolist()\n", + "\n", + "drawnParams = [random.choice(paramsWithoutEvidence) for i in range(5000)]\n", + "#random.sample(paramsWithoutEvidence, 1000)\n", + "#print(len(paramsWithoutEvidence))\n", + "\n", + "\n", + "### Function which calculates integral of halfgaussian from 0.45 to upperLimit, returns area-percentile\n", + "#Turning this into a root finding problem, solving for which upperLimit the function returns zero.\n", + "def integralHalfPercRoot(upperLimit, sigma, percentile=0.01):\n", + " #Integrate from 0.45 to upperLimit\n", + " result = integrate.quad(lambda x: evalHalfGaussian(sigma, x), 0.45, upperLimit)\n", + " \n", + " #Returns the probability - percentile.\n", + " return result[0] - percentile\n", + "\n", + "#Create empty list of lower bounds\n", + "lowerBounds = []\n", + "lowerBounds2 = []\n", + "\n", + "#For each sigma in the posterior\n", + "for index, sigma in enumerate(drawnParams):\n", + " \n", + " print(index, sigma)\n", + " \n", + " #Find the root of the integralHalfPercRoot function with a starting guess of 0.45\n", + " lowerBound2 = optimize.fsolve(integralHalfPercRoot, 0.45, args=sigma)\n", + " lowerBound = optimize.brentq(integralHalfPercRoot, 0.45, 1, args=sigma)\n", + " \n", + " #Add the lowerbound to the lower bound list.\n", + " lowerBounds.append(lowerBound)\n", + " lowerBounds2.append(lowerBound2)\n", + " \n", + "# if lowerBound > 0.8:\n", + "# print(index, sigma, lowerBound)\n", + " \n", + " \n", + " if index % 1000 == 0:\n", + " print(\"{} done.\".format(index))\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print(integralHalfPercRoot(0.58049468, [0.06580650180578232], percentile=0.005))\n", + "print(integralHalfPercRoot(0.815275, [0.06580650180578232], percentile=0.005))\n", + "\n", + "optimize.brentq(integralHalfPercRoot, 0.45, 1, args=[0.06580650180578232])\n", + "\n", + "#optimize.brentq(integralHalfPercRoot, 0.6, args=[0.06580650180578232])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "print(len(paramsWithoutEvidence))\n", + "sigmaList = np.asarray(paramsWithoutEvidence)\n", + "plt.hist(sigmaList.flatten(), bins=1000, color='#3fcca6', histtype=\"stepfilled\", alpha=1, normed=True)\n", + "plt.xlim(0.04,0.1)\n", + "print(min(sigmaList))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "lowerBoundArray = np.asarray(lowerBounds)\n", + "plt.hist(lowerBoundArray.flatten(), bins=100, color='#3fcca6', histtype=\"stepfilled\", alpha=1, normed=True)\n", + "#plt.xlim(0.75, 0.9)\n", + "plt.xlabel(r'$q_{\\mathrm{0.01}}$')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "lowerBoundArray = np.asarray(lowerBounds2)\n", + "plt.hist(lowerBoundArray.flatten(), bins=100, color='#3fcca6', histtype=\"stepfilled\", alpha=1, normed=True)\n", + "#plt.xlim(0.75, 0.9)\n", + "plt.xlabel(r'$q_{\\mathrm{0.01}}$')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "lowerBoundArray = np.asarray(lowerBounds)\n", + "plt.hist(lowerBoundArray.flatten(), bins=50, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + "plt.xlabel(r'$q_{\\mathrm{min}}$')\n", + "plt.show()\n", + "plt.hist(lowerBoundArray.flatten(), bins=100, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + "plt.xlabel(r'$q_{\\mathrm{min}}$')\n", + "plt.savefig('ratio_lowerbound', dpi=200)\n", + "plt.show()\n", + "plt.hist(lowerBoundArray.flatten(), bins=200, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + "plt.xlabel(r'$q_{\\mathrm{min}}$')\n", + "plt.show()\n", + "plt.hist(lowerBoundArray.flatten(), bins=400, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + "plt.xlabel(r'$q_{\\mathrm{min}}$')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print(lowerBounds[0])\n", + "\n", + "integrate.quad(lambda x: evalHalfGaussian(lowerBounds[0][1], x), 0.45, 0.72066778)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "starOrder = [12, 2, 0, 9, 4, 3, 6, 11, 5, 1, 8, 10, 7, 15, 13, 16, 14]\n", + "\n", + "plotRange = [2.2, 3]\n", + "\n", + "starnames = np.genfromtxt('BNSmtot.txt', dtype='str')[:,0]\n", + "starNameList = [r'{}'.format(starname.replace('-','$-$')) for starname in starnames]\n", + "#print(starNameList)\n", + "\n", + "starNamesListOrdered = [starNameList[i] for i in starOrder]\n", + "\n", + "\n", + "binz = np.arange(2.2, 3, 0.01)\n", + "\n", + "plt.figure(num=None, figsize=(20, 20), facecolor='w', edgecolor='k')\n", + "for index, (mass, unc) in enumerate(zip(totalMass, totalUncertainty)):\n", + " plt.subplot(6, 3, index + 1)\n", + " \n", + " xValues = np.linspace(plotRange[0], plotRange[1], 5000)\n", + " yValues = evalSingleGaussian([mass, unc], xValues)\n", + " \n", + " #plt.plot(xValues, yValues, color='#3fcca6')\n", + " \n", + " plt.fill_between(xValues, yValues, color='#3fcca6', alpha=0.5)\n", + " \n", + " #plt.hist(sample, bins=binz, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + "\n", + " \n", + " plt.xlabel(r\"$M_T$ ($M_\\odot$)\", fontsize=18)\n", + " plt.ylabel(r\"P($M_T$)\", fontsize=18)\n", + " plt.xlim(plotRange)\n", + " plt.ylim(ymin=0)\n", + " plt.tick_params(axis='both', labelsize=18)\n", + "\n", + " plt.title(starNameList[index], fontsize=22)\n", + "#plt.figlegend([\"Total Mass Samples\"], loc='lower right', bbox_to_anchor=(0.95, 0.08), prop={'size': 20})\n", + "\n", + "#plt.figlegend([\"Total Mass Samples\", \"Companion Mass Samples\"], loc='lower center', prop={'size': 20})\n", + "\n", + "plt.tight_layout() \n", + "#plt.suptitle('Pulsar Star Masses',fontsize=30)\n", + "plt.savefig('fig_tSamples', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "starnames = np.genfromtxt('PSR_BNSmass.txt', dtype='str')[:,0]\n", + "starNameList = [r'{}'.format(starname.replace('-','$-$')) for starname in starnames]\n", + "\n", + "plotRange = [1.1, 1.75]\n", + "\n", + "#print(binz)\n", + "\n", + "#pulsPair = pulsarMass, pulsarUnc\n", + "#compPair = companionMass, companionUnc\n", + "\n", + "\n", + "\n", + "plt.figure(num=None, figsize=(20, 20), facecolor='w', edgecolor='k')\n", + "for index, ((mass1, unc1), (mass2, unc2)) in enumerate(zip(zip(pulsarMass, pulsarUncertainty), zip(companionMass, companionUncertainty))):\n", + " plt.subplot(6, 3, index + 1)\n", + " \n", + " xValues = np.linspace(plotRange[0], plotRange[1], 5000)\n", + " yValues1 = evalSingleGaussian([mass1, unc1], xValues)\n", + " yValues2 = evalSingleGaussian([mass2, unc2], xValues)\n", + " \n", + " plt.fill_between(xValues, yValues1, color='green', alpha=0.5)\n", + " plt.fill_between(xValues, yValues2, color='cyan', alpha=0.5)\n", + " \n", + " #plt.hist(pulsarSample, bins=binz, color='green', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " #plt.hist(companionSample, bins=binz, color='cyan', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " \n", + " \n", + " plt.xlabel(r\"$m$ ($M_\\odot$)\", fontsize=18)\n", + " plt.ylabel(r\"P($m_r,m_s$)\", fontsize=18)\n", + " plt.xlim(plotRange)\n", + " plt.ylim(ymin=0)\n", + " plt.tick_params(axis='both', labelsize=18)\n", + "\n", + " plt.title(starNameList[index], fontsize=22)\n", + "#plt.figlegend([\"Pulsar Samples\", \"Companion Samples\"], loc='upper center', bbox_to_anchor=(0.5, 0.325), prop={'size': 20})\n", + "\n", + "plt.tight_layout() \n", + "\n", + "#plt.suptitle('Pulsar Star Masses',fontsize=30)\n", + "plt.savefig('fig_pcSamples', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "starOrder = [12, 2, 0, 9, 4, 3, 6, 11, 5, 1, 8, 10, 7, 15, 13, 16, 14]\n", + "\n", + "plotRange = [2.2, 3]\n", + "\n", + "starnames = np.genfromtxt('BNSmtot.txt', dtype='str')[:,0]\n", + "starNameList = [r'{}'.format(starname.replace('-','$-$')) for starname in starnames]\n", + "#print(starNameList)\n", + "\n", + "starNamesListOrdered = [starNameList[i] for i in starOrder]\n", + "totalMassOrdered = [totalMass[i] for i in starOrder]\n", + "totalUncertaintyOrdered = [totalUncertainty[i] for i in starOrder]\n", + "\n", + "binz = np.arange(2.2, 3, 0.01)\n", + "\n", + "plt.figure(num=None, figsize=(20, 20), facecolor='w', edgecolor='k')\n", + "for index, (mass, unc) in enumerate(zip(totalMassOrdered, totalUncertaintyOrdered)):\n", + " plt.subplot(6, 3, index + 1)\n", + " \n", + " xValues = np.linspace(mass-5.5*unc, mass+4*unc, 5000)\n", + " yValues = evalSingleGaussian([mass, unc], xValues)\n", + " \n", + " if True:\n", + " #if index in [1, 2, 3, 4, 5, 6, 8, 10, 11]:\n", + " plt.plot(xValues, yValues, color='#3fcca6', linewidth=2)\n", + " \n", + " plt.fill_between(xValues, yValues, color='#3fcca6', alpha=1)\n", + " plt.fill_between(xValues, yValues, color='#3fcca6', alpha=0.5)\n", + " \n", + " #plt.hist(sample, bins=binz, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + "\n", + " \n", + " plt.xlabel(r\"$M_T$ ($M_\\odot$)\", fontsize=18)\n", + " plt.ylabel(r\"P($M_T$)\", fontsize=18)\n", + " plt.xlim(plotRange)\n", + " plt.ylim(ymin=0)\n", + " plt.tick_params(axis='both', labelsize=18)\n", + "\n", + " plt.title(starNamesListOrdered[index], fontsize=22)\n", + "#plt.figlegend([\"Total Mass Samples\"], loc='lower right', bbox_to_anchor=(0.95, 0.08), prop={'size': 20})\n", + "\n", + "#plt.figlegend([\"Total Mass Samples\", \"Companion Mass Samples\"], loc='lower center', prop={'size': 20})\n", + "\n", + "plt.tight_layout() \n", + "#plt.suptitle('Pulsar Star Masses',fontsize=30)\n", + "plt.savefig(\"plotOutput/\" + 'fig_tSamples', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "starOrder = [2, 0, 9, 4, 3, 6, 11, 5, 1, 8, 10, 7]\n", + "\n", + "starnames = np.genfromtxt('PSR_BNSmass.txt', dtype='str')[:,0]\n", + "starNameList = [r'{}'.format(starname.replace('-','$-$')) for starname in starnames]\n", + "\n", + "plotRange = [1, 1.8]\n", + "\n", + "\n", + "starNameListOrdered = [starNameList[i] for i in starOrder]\n", + "pulsarMassOrdered = [pulsarMass[i] for i in starOrder]\n", + "pulsarUncertaintyOrdered = [pulsarUncertainty[i] for i in starOrder]\n", + "companionMassOrdered = [companionMass[i] for i in starOrder]\n", + "companionUncertaintyOrdered = [companionUncertainty[i] for i in starOrder]\n", + "\n", + "\n", + "plt.figure(num=None, figsize=(20, 20), facecolor='w', edgecolor='k')\n", + "for index, ((mass1, unc1), (mass2, unc2)) in enumerate(zip(zip(pulsarMassOrdered, pulsarUncertaintyOrdered), zip(companionMassOrdered, companionUncertaintyOrdered))):\n", + " plt.subplot(6, 3, index + 1)\n", + " \n", + " xValues1 = np.linspace(mass1-5.5*unc1, mass1+4*unc1, 5000)\n", + " xValues2 = np.linspace(mass2-5.5*unc2, mass2+4*unc2, 5000)\n", + " \n", + " yValues1 = evalSingleGaussian([mass1, unc1], xValues1)\n", + " yValues2 = evalSingleGaussian([mass2, unc2], xValues2)\n", + " \n", + "# plt.plot(xValues1, yValues1, linewidth=4, color='green', alpha=0.5)\n", + "# plt.plot(xValues2, yValues2, linewidth=4, color='cyan', alpha=0.5)\n", + " \n", + " #plt.plot(xValues1, yValues1, color='green', linewidth=5)\n", + " #plt.plot(xValues2, yValues2, color='cyan', linewidth=5)\n", + " \n", + " \n", + " if index in [1, 3, 5, 7, 9]:\n", + " plt.plot(xValues1, yValues1, color='#84BF7D', linewidth=2)\n", + " plt.plot(xValues2, yValues2, color='#8FFFFE', linewidth=2)\n", + " \n", + " \n", + " plt.fill_between(xValues1, yValues1, color='green', alpha=0.5)\n", + " plt.fill_between(xValues2, yValues2, color='cyan', alpha=0.5)\n", + " \n", + "# plt.fill_between(xValues1, yValues1, color='green')\n", + "# plt.fill_between(xValues2, yValues2, color='cyan')\n", + " \n", + " #plt.hist(pulsarSample, bins=binz, color='green', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " #plt.hist(companionSample, bins=binz, color='cyan', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " \n", + " \n", + " plt.xlabel(r\"$m$ ($M_\\odot$)\", fontsize=18)\n", + " plt.ylabel(r\"P($m_r,m_s$)\", fontsize=18)\n", + " plt.xlim(plotRange)\n", + " plt.ylim(ymin=0)\n", + " plt.tick_params(axis='both', labelsize=18)\n", + "\n", + " plt.title(starNameListOrdered[index], fontsize=22)\n", + "#plt.figlegend([\"Pulsar Samples\", \"Companion Samples\"], loc='upper center', bbox_to_anchor=(0.5, 0.325), prop={'size': 20})\n", + "\n", + "plt.tight_layout()\n", + "\n", + "#plt.suptitle('Pulsar Star Masses',fontsize=30)\n", + "plt.savefig(\"plotOutput/\" + 'fig_pcSamples', dpi=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "dateSets = [['pulsar', 'singleGaussian'],\n", + " ['pulsar', 'twoGaussian'],\n", + " ['pulsar', 'uniform'],\n", + " ['companion', 'singleGaussian'],\n", + " ['companion', 'twoGaussian'],\n", + " ['companion', 'uniform'],\n", + " ['total', 'singleGaussian'],\n", + " ['total', 'twoGaussian'],\n", + " ['total', 'uniform'],\n", + " ['both', 'singleGaussian'],\n", + " ['both', 'twoGaussian'],\n", + " ['both', 'uniform'],\n", + " ['chirp', 'singleGaussian'],\n", + " ['chirp', 'twoGaussian'],\n", + " ['chirp', 'uniform'],\n", + " ['ratio', 'uniform'],\n", + " ['ratio', 'half'],\n", + " ['ratio', 'uniformRatio']]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "xValues1 = np.linspace(-5, 5, 5000)\n", + "xValues2 = np.linspace(-5, 5, 5000)\n", + " \n", + "yValues1 = -xValues1**2 + 10\n", + "yValues2 = -xValues2**2 + 18\n", + " \n", + "plt.ylim(0,20)\n", + " \n", + "plt.plot(xValues1, yValues1, color='green', linewidth=5, alpha=0.5)\n", + "plt.plot(xValues2, yValues2, color='cyan', linewidth=5, alpha=0.5)\n", + " \n", + " \n", + "plt.fill_between(xValues1, yValues1, color='green', alpha=0.5)\n", + "plt.fill_between(xValues2, yValues2, color='cyan', alpha=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "newList = []\n", + "for i in range(6):\n", + " newList.append([dateSets[3*i + j][1] for j in range(3)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "print(newList)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "color='#3fcca6'\n", + "\n", + "def plotPDF2(massSamples, resFuncList, plotRange, binz=8, labelz=[\"M\",\"P(M)\"]):\n", + " plt.rcParams.update({'font.size': 15})\n", + " \n", + " plt.gcf().subplots_adjust(bottom=0.15)\n", + " \n", + " plt.hist(massSamples.flatten(), bins=binz, color='#3fcca6', histtype=\"stepfilled\", alpha=0.3, normed=True)\n", + " \n", + " \n", + " for index, (params, plotFunction) in enumerate(resFuncList):\n", + " M_fit = np.linspace(plotRange[0], plotRange[1], 5000)\n", + " \n", + " if index == 0:\n", + " plt.plot(M_fit, plotFunction(params, M_fit), '-k', linewidth=3)\n", + " else:\n", + " plt.plot(M_fit, plotFunction(params, M_fit), '-k', alpha=0.3, scaley=False)\n", + " \n", + " plt.xlabel(labelz[0]); plt.ylabel(labelz[1])\n", + " #plt.title(str(plotFunction) + \" Parameters = {}\".format(resultsArray))\n", + "\n", + " return plt" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "resFuncList = [[[0.251394979847697009E+01, 0.287915671720423338E+01], evalUniform], [[0.266440616414464682E+01, 0.104527740335558672E+00], evalSingleGaussian], [[0.257402721037644788E+01, 0.272932163717520648E+01, 0.906463133388197249E-02, 0.921064253192622473E-01, 0.454904404939819818E+00],evalTwoGaussian]]\n", + "plot = plotPDF2(totalMass, resFuncList, (2.45, 2.95),8, [r'$M_T$ ($M_\\odot$)',r'P($M_T$)'])" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Main Code/README.md b/Main Code/README.md @@ -0,0 +1,50 @@ +### NOTE THAT IN THIS CODE, HYPOTHESIS A REFERS TO WHAT IS KNOWN AS HYPOTHESIS B IN THE PAPER; AND VICE VERSA. + +## Prerequisites +Everthing should be already installed except for pymultinest. This is installed under the home directory (`cd ~`) the following commands: + +`git clone https://github.com/JohannesBuchner/PyMultiNest/` + +`cd PyMultiNest` + +`python3 setup.py install --user` + +Then cd back to the top directory above PyMutliNest + +`git clone https://github.com/JohannesBuchner/MultiNest` + +`cd MultiNest/build` + +`cmake ..` + +`make` + +The hard part is getting pymultinest to recognise multinest. One of these should do the job... + +`echo 'export LD_LIBRARY_PATH=/home/nicholas.farrow/MultiNest/lib/:$LD_LIBRARY_PATH'` + +`echo 'export LD_LIBRARY_PATH=/home/FIRSTNAME.LASTNAME/MultiNest/lib/:$LD_LIBRARY_PATH' >>~/.bashrc` + +Check if this worked by using `python3` then `import pymultinest`. If nothing shows up then everthing is working. + + +## Individual Sampling +This should be done first to check that all the required packages are installed (especially pymultinest). +Sampling using a specific model (or model pairs) can be done through calling + +`python3 hypothesisA.py 3` + +Which runs hypothesis A for the 3rd model pair (single - uniform). + + +## Running Jobs with Condor +As sampling can take very long periods of time (12 combinations of sub-hypotheses ranging between 2 and 7 parameters), it is required that sampling be done through a distributed computing system. +The method of providing a number argument to the code allows for easy batch running of the script. `python3 hypothesisA.py [1-3]`. + + +## Basic analysis of output +`python3 hypothesisAnalyse.py A hypothesisA_out/` + +`python3 hypothesisAnalyse.py B hypothesisB_out/` + +This creates files like evidence lists, relative evidence tables and totals, and also latex tables. diff --git a/Main 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pymultinest +import numpy as np +from scipy import stats +from scipy.special import erf +import os +import sys +from datetime import datetime + +startTime = datetime.now() + +### +# Directory of current script +# Required by Condor jobs to find relevant samples etc. +topDirectory = os.path.dirname(os.path.realpath(__file__)) + '/' + +# Load BNS mass samples +# (eg. 17x10000 array) +pulsarSamples = np.loadtxt(topDirectory + 'Samples/mr_samples.txt') +companionSamples = np.loadtxt(topDirectory + 'Samples/ms_samples.txt') + +# For each BNS, group pulsar & companion samples into pairs. +# Creates array of shape like (17x10000x2) +bothMassSamples = np.stack((pulsarSamples, companionSamples), axis=-1) + +# Only use first 1000 samples to increase speed +massSamples = bothMassSamples[:,:1000,:] + +# Define the nMeasurements and nSamples per mass measurement +nSamples = len(massSamples[0]) +nMeasurements = len(massSamples) + + + +### Probability Distribution Functions +# Single Gaussian Functions +def evalSingleGaussian(theta, x): + mu, sig = theta[0], theta[1] + normalisingTerm = (0.5*(1+erf((2-mu)/(sig*2**0.5)) - (1+erf((0.8-mu)/(sig*2**0.5))))) + return stats.norm(mu, sig).pdf(x) * 1.0/normalisingTerm + +# Two Gaussian Functions +def evalTwoGaussian(theta, x): + mu1, mu2, sig1, sig2, alpha = theta + normalisingTerm1 = (0.5*(1+erf((2-mu1)/(sig1*2**0.5)) - (1+erf((0.8-mu1)/(sig1*2**0.5))))) + normalisingTerm2 = (0.5*(1+erf((2-mu2)/(sig2*2**0.5)) - (1+erf((0.8-mu2)/(sig2*2**0.5))))) + return alpha * stats.norm(mu1, sig1).pdf(x) * 1.0/normalisingTerm1 + (1-alpha) * stats.norm(mu2, sig2).pdf(x) * 1.0/normalisingTerm2 + +# Uniform Functions +def evalUniform(theta, x): + mMin, mMax = theta[0], theta[1] + return stats.uniform(mMin, mMax-mMin).pdf(x) + + + +### Model Information Dictionaries +singleGaussianModel = { + "name": "singleGaussian", + "pdf": evalSingleGaussian, + "ndim": 2, + "params": ['mu', 'sigma'] +} + +twoGaussianModel = { + "name": "twoGaussian", + "pdf": evalTwoGaussian, + "ndim": 5, + "params": ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha'] +} + +uniformModel = { + "name": "uniform", + "pdf": evalUniform, + "ndim": 2, + "params": ['mMin', 'mMax'] +} + + + +### Prior for each model. +def prior(cube, ndim, nparams): + # cube is initially a unit hypercube which is to be mapped onto the relevant prior space. + + + # Hyperparameter Index. We map the priors beginning with the parameters of model1, + # and then incriment j by the number of parameters in that model1. Then mapping + # the parameters of the next model2. + j = 0 + + # Loop over both models. + for modelBeingMapped in [modelName1, modelName2]: + if modelBeingMapped == 'singleGaussian': + cube[j] = 0.8 + cube[j] * (2 - 0.8) + cube[j+1] = 0.005 + cube[j+1] * (0.5 - 0.005) + j += 2 + if modelBeingMapped == 'twoGaussian': + cube[j] = 0.8 + cube[j] * (2 - 0.8) + cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j]) + cube[j+2] = 0.005 + cube[j+2] * (0.5 - 0.005) + cube[j+3] = 0.005 + cube[j+3] * (0.5 - 0.005) + cube[j+4] = cube[j+4] * 1 + j += 5 + if modelBeingMapped == 'uniform': + cube[j] = 0.8 + cube[j] * (2 - 0.8) + cube[j+1] = cube[j] + cube[j+1] * (2 - cube[j]) + j += 2 + + # After this process the number of parameters mapped, j, should be equal to the number of dimensions for the problem (hyperparameters of model1 + model2). + if j != ndim: + print("SOME PARAMETERS WERE NOT MAPPED TO!!!") + print(ndim) + print(j) + + return + + + +### Likelihood Function (Same as Farr et al.) +def likelihood(cube, ndim, nparams): + + # Create lists of the parameters for each model. Model1 has parameters in cube from 0 to ndim1-1, Model2 has parameters in cube from ndim1 to ndim-1. + paramList1 = [cube[i] for i in range(ndim1)] + paramList2 = [cube[i] for i in range(ndim1, ndim)] + + # Initial list to contain the sum of the products of the probability for each m_r and m_s sample in their respective models. + pdfProductSumList = [] + + # For the m_r and m_s pairs in each BNS system. (eg. 1000x2) + for massSample in massSamples: + + # Evaluate the PDF function down the m_r and m_s samples of the BNS + mrProbabilities = modelEval1(paramList1, massSample[:,0]) + msProbabilities = modelEval2(paramList2, massSample[:,1]) + + # Evaluate the product of the m_r and m_s probability for each pair. + probabilityProduct = mrProbabilities*msProbabilities + + # Append the sum over all the probability products of each pair. + pdfProductSumList.append(np.sum(probabilityProduct)) + + # If either all the m_r or all the m_s samples are completely outside their model then return a log-likelihood of -inf. + if 0 in pdfProductSumList: + print("Zero probability value - Parameters: {}, {}".format(paramList1,paramList2)) + return -np.inf + + # The log-likelihood is the log of the normalised sum over the log of each pdfProductSum + loglikelihood = nMeasurements * np.log(1.0/nSamples) + np.sum(np.log(pdfProductSumList)) + return loglikelihood + + + +### Models +# This list contains the set of all model dictionary combinations +# Model names, pdf functions, nDimensions, ParameterNames +modelSet = [[singleGaussianModel, singleGaussianModel], + [singleGaussianModel, twoGaussianModel], + [singleGaussianModel, uniformModel], + [twoGaussianModel, singleGaussianModel], + [twoGaussianModel, twoGaussianModel], + [twoGaussianModel, uniformModel], + [uniformModel, singleGaussianModel], + [uniformModel, twoGaussianModel], + [uniformModel, uniformModel]] + + +### System input (models choice) +# Takes the system argument given. +# eg hypothesisA.py 2 will select the model pair with index 1, singleGuassian and twoGaussian. +modelSetIndex = int(sys.argv[1]) - 1 + +# Set relevant variables which are to be used in this sampling +modelDictionary1, modelDictionary2 = modelSet[modelSetIndex] +modelName1, modelEval1, ndim1, paramNames1 = modelDictionary1['name'], modelDictionary1['pdf'], modelDictionary1['ndim'], modelDictionary1['params'] +modelName2, modelEval2, ndim2, paramNames2 = modelDictionary2['name'], modelDictionary2['pdf'], modelDictionary2['ndim'], modelDictionary2['params'] + +# Combined parameter list +paramNames = paramNames1 + paramNames2 + +# Define the total number of parameters +ndim = ndim1 + ndim2 + + + +### Inference +# Directory to send output to. Create it if it does not exist. +directoryName = topDirectory + 'hypA_out/' + modelName1[:4] + "/" + modelName2[:4] +if not os.path.exists(directoryName): + os.makedirs(directoryName) + +# Run pymultinest sampling +pymultinest.run(likelihood, prior, ndim, n_live_points=100, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryName + '/', resume=False, verbose=True) + +print("Code took {} seconds to run.".format(datetime.now() - startTime)) +print("Exiting!") + diff --git a/Main Code/hypothesisAnalyse.py b/Main Code/hypothesisAnalyse.py @@ -0,0 +1,227 @@ +import sys +import os +import matplotlib +import datetime +matplotlib.use('Agg') + + +import numpy as np +from numpy import exp, log +import matplotlib.pyplot as plt +import sys, os +import json +import pymultinest + + + + +modelSetA = [['singleGaussian', 'singleGaussian', 2, 2, ['mu', 'sigma', 'mu', 'sigma']], + ['singleGaussian', 'twoGaussian', 2, 5, ['mu', 'sigma', 'mu1', 'mu2', 'sigma1', 'sigma2', 'alpha']], + ['singleGaussian', 'uniform', 2, 2, ['mu', 'sigma', 'mMin', 'mMax']], + ['twoGaussian', 'singleGaussian', 5, 2, ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha', 'mu', 'sigma']], + ['twoGaussian', 'twoGaussian', 5, 5, ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha', 'mu1', 'mu2', 'sigma1', 'sigma2', 'alpha']], + ['twoGaussian', 'uniform', 5, 2, ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha', 'mMin', 'mMax']], + ['uniform', 'singleGaussian', 2, 2, ['mMin', 'mMax', 'mu', 'sigma']], + ['uniform', 'twoGaussian', 2, 5, ['mMin', 'mMax', 'mu1', 'mu2', 'sigma1', 'sigma2', 'alpha']], + ['uniform', 'uniform', 2, 2, ['mMin', 'mMax', 'mMin', 'mMax']]] + + +modelSetB = [['singleGaussian', 2, ['mu', 'sigma']], + ['twoGaussian', 5, ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha']], + ['uniform', 2, ['mMin', 'mMax']]] + +def roundNumber(number): + return round(number, 4) + + +def cleanRound(number, dec=3): + newNum = str(round(number, 3)) + print(newNum) + missing = dec - len(newNum.split('.')[1]) + return newNum + '0' * missing + + + +def readStats(statsFile): + globalEvidenceLine = statsFile.readline() + nestedGlobalEvidenceLine = statsFile.readline() + + globalEvidenceLine + + print(globalEvidenceLine.split()) + globalEvidence = float(globalEvidenceLine.split()[-3]) + print(globalEvidenceLine.split()[-1]) + evidenceStd = float(globalEvidenceLine.split()[-1]) + print(globalEvidence, evidenceStd) + + return globalEvidence, evidenceStd + + +def fractionalEvidence(resultList, resultDirectory, saveName="fracResults.txt"): + with open(resultDirectory + saveName,"w+") as z: + + totalEv = 0 + for result in resultList: + totalEv += result[-2] + + + ### Hypo A + if len(resultList[0]) == 4: + for result1 in resultList: + tb = ' & ' + tableString = ' ' + result1[0][:4] + '-' + result1[1][:4] + tb + str(result1[2]/totalEv) + "\\" * 2 + z.write(tableString + '\n') + + else: + for result1 in resultList: + tb = ' & ' + tableString = ' ' + result1[0][:4] + tb + str(result1[1]/totalEv) + "\\" * 2 + z.write(tableString + '\n') + return + + + +def makeTableA(resultList, resultDirectory, saveName="tableResults.txt"): + with open(resultDirectory + saveName,"w+") as z: + + reverseNameTitle = ' ' * 4 + ' & '.join([result[0][:4] + '-' + result[1][:4] for result in resultList[::-1]]) + "\\" * 2 + z.write(reverseNameTitle + '\n') + + for index, result1 in enumerate(resultList): + print(index, result1) + evidence1 = result1[2] + + lineBFs = [] + #for result2 in resultList[:-index - 1]: + for result2 in resultList[:index:-1]: + evidence2 = result2[2] + bayesFactor = evidence1/evidence2 + lineBFs.append(cleanRound(bayesFactor)) + + tb = ' & ' + tableString = ' ' + result1[0][:4] + '-' + result1[1][:4] + tb + tb.join(lineBFs) + "\\" * 2 + z.write(tableString + '\n') + return + + + +def makeTableB(resultList, resultDirectory, saveName="tableResults.txt"): + with open(resultDirectory + saveName,"w+") as z: + + reverseNameTitle = ' ' * 3 + ' & '.join([result[0][:4] for result in resultList[::-1]]) + "\\" * 2 + z.write(reverseNameTitle + '\n') + + for index, result1 in enumerate(resultList): + print(index, result1) + evidence1 = result1[1] + + lineBFs = [] + #for result2 in resultList[:-index - 1]: + for result2 in resultList[:index:-1]: + evidence2 = result2[1] + bayesFactor = evidence1/evidence2 + lineBFs.append(cleanRound(bayesFactor)) + + tb = ' & ' + tableString = ' ' + result1[0][:4] + tb + tb.join(lineBFs) + "\\" * 2 + z.write(tableString + '\n') + return + + + + + +def analyseMainA(resultDirectory): + with open(resultDirectory + "collectedResults.txt","w+") as g: + g.write("Model1 ------ Model2 ------ Evidence ------ LogEvidence std\n") + resultsList = [] + for modelName1, modelName2, ndim1, ndim2, paramNames in modelSetA: + ndim = ndim1 + ndim2 + print(modelName1, modelName2) + + prefix = resultDirectory + modelName1[:4] + "/" + modelName2[:4] + "/" + + with open(prefix + "stats.dat","r") as statsFile: + logevidence, evidenceStd = readStats(statsFile) + evidence = np.exp(logevidence) + print("{}, {}: {} +- {}\n".format(modelName1, modelName2, evidence, evidenceStd)) + + + g.write("{}, {}: {} +- {}\n".format(modelName1, modelName2, evidence, evidenceStd)) + + resultsList.append([modelName1, modelName2, evidence, evidenceStd]) + + + evidenceSum = 0 + for i in range(len(resultsList)): + evidenceSum += float(resultsList[i][2]) + g.write("Total evidence: {}".format(evidenceSum)) + + #makeTableA(resultsList, resultDirectory) + + + sortedResults = sorted(resultsList, key = lambda x: x[2], reverse=True) + makeTableA(sortedResults, resultDirectory, "sortedResultsA.txt") + + fractionalEvidence(sortedResults, resultDirectory, "fracResultsA.txt") + + + return + +def analyseMainB(resultDirectory): + with open(resultDirectory + "collectedResults.txt","w+") as g: + g.write("Model------ Evidence ------ LogEvidence std\n") + + resultsList = [] + for modelName, ndim, paramNames in modelSetB: + print(modelName) + + prefix = resultDirectory + modelName[:4] + "/" + + with open(prefix + "stats.dat","r") as statsFile: + logevidence, evidenceStd = readStats(statsFile) + evidence = np.exp(logevidence) + print("{}: {} +- {}\n".format(modelName, evidence, evidenceStd)) + g.write("{}: {} +- {}\n".format(modelName, evidence, evidenceStd)) + resultsList.append([modelName, evidence, evidenceStd]) + + + evidenceSum = 0 + for i in range(len(resultsList)): + evidenceSum += float(resultsList[i][1]) + g.write("Total evidence: {}".format(evidenceSum)) + + sortedResults = sorted(resultsList, key = lambda x: x[1], reverse=True) + makeTableB(sortedResults, resultDirectory, "sortedResultsB.txt") + + fractionalEvidence(sortedResults, resultDirectory, "fracResultsB.txt") + return + + +### Get results directory + +if len(sys.argv) != 3: + print("ERROR") + print("Usage: hypothesisAnalyse.py [-A, -B] /out_directory/") +else: + outputfileName = sys.argv[2] + if sys.argv[1] == 'A': + analyseMainA(outputfileName) + elif sys.argv[1] == 'B': + analyseMainB(outputfileName) + else: + print("Argument Error") + + +# if len(sys.argv) >= 2: +# outputfileNameA = sys.argv[1] +# analyseMainA(outputfileNameA) + +# if len(sys.argv) == 3: +# outputfileNameB = sys.argv[2] +# analyseMainB(outputfileNameB) + +# else: +# print("Use arguments: /directoryA/ (/directoryB/ optional)") + + diff --git a/Main Code/hypothesisB.py b/Main Code/hypothesisB.py @@ -0,0 +1,158 @@ +import pymultinest +import numpy as np +from scipy import stats +from scipy.special import erf +import os +import sys +from datetime import datetime + +startTime = datetime.now() + +### +# Directory of current script +# Required by Condor jobs to find relevant samples etc. +topDirectory = os.path.dirname(os.path.realpath(__file__)) + '/' + +# Load BNS mass samples +# (eg. 17x10000 array) +pulsarSamples = np.loadtxt(topDirectory + 'Samples/mr_samples.txt') +companionSamples = np.loadtxt(topDirectory + 'Samples/ms_samples.txt') + +# For each BNS, group pulsar & companion samples into pairs. +# Creates array of shape like (17x10000x2) +bothMassSamples = np.stack((pulsarSamples, companionSamples), axis=-1) + +# Only use first 1000 samples to increase speed +massSamples = bothMassSamples[:,:1000,:] + +# Define the nMeasurements and nSamples per mass measurement +nSamples = len(massSamples[0]) +nMeasurements = len(massSamples) + + + +def evalSingleGaussian(theta, x): + mu, sig = theta[0], theta[1] + normalisingTerm = (0.5*(1+erf((2-mu)/(sig*2**0.5)) - (1+erf((0.8-mu)/(sig*2**0.5))))) + return stats.norm(mu, sig).pdf(x) * 1.0/normalisingTerm + +# Two Gaussian Functions +def evalTwoGaussian(theta, x): + mu1, mu2, sig1, sig2, alpha = theta + normalisingTerm1 = (0.5*(1+erf((2-mu1)/(sig1*2**0.5)) - (1+erf((0.8-mu1)/(sig1*2**0.5))))) + normalisingTerm2 = (0.5*(1+erf((2-mu2)/(sig2*2**0.5)) - (1+erf((0.8-mu2)/(sig2*2**0.5))))) + return alpha * stats.norm(mu1, sig1).pdf(x) * 1.0/normalisingTerm1 + (1-alpha) * stats.norm(mu2, sig2).pdf(x) * 1.0/normalisingTerm2 + +# Uniform Functions +def evalUniform(theta, x): + mMin, mMax = theta[0], theta[1] + return stats.uniform(mMin, mMax-mMin).pdf(x) + + + +### Model Information Dictionaries +singleGaussianModel = { + "name": "singleGaussian", + "pdf": evalSingleGaussian, + "ndim": 2, + "params": ['mu', 'sigma'] +} + +twoGaussianModel = { + "name": "twoGaussian", + "pdf": evalTwoGaussian, + "ndim": 5, + "params": ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha'] +} + +uniformModel = { + "name": "uniform", + "pdf": evalUniform, + "ndim": 2, + "params": ['mMin', 'mMax'] +} + + + +### Prior for each model. +def prior(cube, ndim, nparams): + # cube is initially a unit hypercube which is to be mapped onto the relevant prior space. + + if modelName == 'singleGaussian': + cube[0] = 0.8 + cube[0] * (2 - 0.8) + cube[1] = 0.005 + cube[1] * (0.5 - 0.005) + if modelName == 'twoGaussian': + cube[0] = 0.8 + cube[0] * (2 - 0.8) + cube[1] = cube[0] + cube[1] * (2 - cube[0]) + cube[2] = 0.005 + cube[2] * (0.5 - 0.005) + cube[3] = 0.005 + cube[3] * (0.5 - 0.005) + cube[4] = cube[4] * 1 + if modelName == 'uniform': + cube[0] = 0.8 + cube[0] * (2 - 0.8) + cube[1] = cube[0] + cube[1] * (2 - cube[0]) + + return + + + +### Likelihood Function (Same as Farr et al.) +def likelihood(cube, ndim, nparams): + + # Create lists of the parameters for the model. + paramList = [cube[i] for i in range(ndim)] + + # Initial list to contain the sum of the products of the probability for each m_r and m_s sample in their respective models. + pdfProductSumList = [] + + # For the m_r and m_s pairs in each BNS system. (eg. 1000x2) + for massSample in massSamples: + + # Evaluate the PDF function down the m_r and m_s samples of the BNS + mrProbabilities = modelEval(paramList, massSample[:,0]) + msProbabilities = modelEval(paramList, massSample[:,1]) + + # Evaluate the product of the m_r and m_s probability for each pair. + probabilityProduct = mrProbabilities*msProbabilities + + # Append the sum over all the probability products of each pair. + pdfProductSumList.append(np.sum(probabilityProduct)) + + # If either all the m_r or all the m_s samples are completely outside their model then return a log-likelihood of -inf. + if 0 in pdfProductSumList: + print("Zero probability value - Parameters: {}".format(paramList)) + return -np.inf + + # The log-likelihood is the log of the normalised sum over the log of each pdfProductSum + loglikelihood = nMeasurements * np.log(1.0/nSamples) + np.sum(np.log(pdfProductSumList)) + return loglikelihood + + +### Models +# This list contains the set of all model dictionary combinations +# Model names, pdf functions, nDimensions, ParameterNames +modelSet = [singleGaussianModel, twoGaussianModel, uniformModel] + + +### System input (models choice) +# Takes the system argument given. +# eg hypothesisA.py 2 will select the model with index 1, twoGaussian. +modelSetIndex = int(sys.argv[1]) - 1 + +# Set relevant variables which are to be used in this sampling +modelDictionary = modelSet[modelSetIndex] +modelName, modelEval, ndim, paramNames = modelDictionary['name'], modelDictionary['pdf'], modelDictionary['ndim'], modelDictionary['params'] + + + +### Inference +# Directory to send output to. Create it if it does not exist. +directoryName = topDirectory + 'hypB_out/' + modelName[:4] +if not os.path.exists(directoryName): + os.makedirs(directoryName) + +# Run pymultinest sampling +pymultinest.run(likelihood, prior, ndim, n_live_points=100, sampling_efficiency=0.3, importance_nested_sampling=False, outputfiles_basename=directoryName + '/', resume=False, verbose=True) + +print("Code took {} seconds to run.".format(datetime.now() - startTime)) +print("Exiting!") + diff --git a/Main Code/models.py b/Main Code/models.py @@ -0,0 +1,52 @@ +import numpy as np +from scipy import stats +from scipy.special import erf + + +### Probability Distribution Functions +# Single Gaussian Functions +def evalSingleGaussian(theta, x): + mu, sig = theta[0], theta[1] + normalisingTerm = (0.5*(1+erf((2-mu)/(sig*2**0.5)) - (1+erf((0.8-mu)/(sig*2**0.5))))) + return stats.norm(mu, sig).pdf(x) * 1.0/normalisingTerm + +# Two Gaussian Functions +def evalTwoGaussian(theta, x): + mu1, mu2, sig1, sig2, alpha = theta + normalisingTerm1 = (0.5*(1+erf((2-mu1)/(sig1*2**0.5)) - (1+erf((0.8-mu1)/(sig1*2**0.5))))) + normalisingTerm2 = (0.5*(1+erf((2-mu2)/(sig2*2**0.5)) - (1+erf((0.8-mu2)/(sig2*2**0.5))))) + return alpha * stats.norm(mu1, sig1).pdf(x) * 1.0/normalisingTerm1 + (1-alpha) * stats.norm(mu2, sig2).pdf(x) * 1.0/normalisingTerm2 + +# Uniform Functions +def evalUniform(theta, x): + mMin, mMax = theta[0], theta[1] + return stats.uniform(mMin, mMax-mMin).pdf(x) + + + +### Model Information Dictionaries +singleGaussianModel = { + "name": "singleGaussian", + "pdf": evalSingleGaussian, + "ndim": 2, + "params": ['mu', 'sigma'] +} + +twoGaussianModel = { + "name": "twoGaussian", + "pdf": evalTwoGaussian, + "ndim": 5, + "params": ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha'] +} + +uniformModel = { + "name": "uniform", + "pdf": evalUniform, + "ndim": 2, + "params": ['mMin', 'mMax'] +} + + +singleGaussianList = ["singleGaussian", evalSingleGaussian, 2, [r'$\mu$', r'$\sigma$']] +twoGaussianList = ["twoGaussian", evalTwoGaussian, 5, [r'$\mu_1$', r'$\mu_2$', r'$\sigma_1$', r'$\sigma_2$', r'$\alpha$']] +uniformList = ["uniform", evalUniform, 2, [r'$m_l$', r'$m_u$']] +\ No newline at end of file diff --git a/models.py b/models.py @@ -0,0 +1,52 @@ +import numpy as np +from scipy import stats +from scipy.special import erf + + +### Probability Distribution Functions +# Single Gaussian Functions +def evalSingleGaussian(theta, x): + mu, sig = theta[0], theta[1] + normalisingTerm = (0.5*(1+erf((2-mu)/(sig*2**0.5)) - (1+erf((0.8-mu)/(sig*2**0.5))))) + return stats.norm(mu, sig).pdf(x) * 1.0/normalisingTerm + +# Two Gaussian Functions +def evalTwoGaussian(theta, x): + mu1, mu2, sig1, sig2, alpha = theta + normalisingTerm1 = (0.5*(1+erf((2-mu1)/(sig1*2**0.5)) - (1+erf((0.8-mu1)/(sig1*2**0.5))))) + normalisingTerm2 = (0.5*(1+erf((2-mu2)/(sig2*2**0.5)) - (1+erf((0.8-mu2)/(sig2*2**0.5))))) + return alpha * stats.norm(mu1, sig1).pdf(x) * 1.0/normalisingTerm1 + (1-alpha) * stats.norm(mu2, sig2).pdf(x) * 1.0/normalisingTerm2 + +# Uniform Functions +def evalUniform(theta, x): + mMin, mMax = theta[0], theta[1] + return stats.uniform(mMin, mMax-mMin).pdf(x) + + + +### Model Information Dictionaries +singleGaussianModel = { + "name": "singleGaussian", + "pdf": evalSingleGaussian, + "ndim": 2, + "params": ['mu', 'sigma'] +} + +twoGaussianModel = { + "name": "twoGaussian", + "pdf": evalTwoGaussian, + "ndim": 5, + "params": ['mu1', 'mu2', 'sigma1', 'sigma2', 'alpha'] +} + +uniformModel = { + "name": "uniform", + "pdf": evalUniform, + "ndim": 2, + "params": ['mMin', 'mMax'] +} + + +singleGaussianList = ["singleGaussian", evalSingleGaussian, 2, [r'$\mu$', r'$\sigma$']] +twoGaussianList = ["twoGaussian", evalTwoGaussian, 5, [r'$\mu_1$', r'$\mu_2$', r'$\sigma_1$', r'$\sigma_2$', r'$\alpha$']] +uniformList = ["uniform", evalUniform, 2, [r'$m_l$', r'$m_u$']] +\ No newline at end of file