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Last active June 23, 2022 17:00
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interactive cosmosis notebook
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{
"cells": [
{
"cell_type": "markdown",
"id": "c2129bfb",
"metadata": {},
"source": [
"# Interactive CosmoSIS Postprocessing\n",
"\n",
"The CosmoSIS postprocessing code generates plots and statistics from all the different kinds of sampler that CosmoSIS supports. The usual way to use it is via the `cosmosis-postprocess` command, but you can also use it interactively, from a notebook, for example."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d148ce57",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from cosmosis.postprocess import parser\n",
"from cosmosis.postprocessing.inputs import read_input\n",
"from cosmosis.postprocessing.postprocess import postprocessor_for_sampler\n",
"from cosmosis.postprocessing.plots import MetropolisHastingsPlots2D, MetropolisHastingsPlots1D\n",
"import os"
]
},
{
"cell_type": "markdown",
"id": "0eab8e0e",
"metadata": {},
"source": [
"This notebook is designed to be run from the main directory, so let's move there."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "70e721a6",
"metadata": {},
"outputs": [],
"source": [
"if os.getcwd().endswith(\"cosmosis-standard-library/examples\"):\n",
" os.chdir(\"..\")"
]
},
{
"cell_type": "markdown",
"id": "7d906f34",
"metadata": {},
"source": [
"## Loading the chain\n",
"\n",
"The read_input function can either read a chain file or the parameter ini file that you ran cosmosis on.\n",
"Then we can make a postprocessor object for that sampler, which knows how to burn, thin, plot, and weight different kinds of chains.\n",
"\n",
"\n",
"You can get a list of the options that can be given here using `parser.print_usage()`\n",
"The fact that `no_2d` is needed here is a bug - we will fix it soon.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "52744dc5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LOADING CHAIN FROM FILE: output/pantheon.txt\n"
]
}
],
"source": [
"sampler, ini = read_input(\"examples/pantheon.ini\")\n",
"os.makedirs(\"output/pantheon\", exist_ok=True)\n",
"proc = postprocessor_for_sampler(sampler)(ini, \"Pantheon\", 0, burn=3000, no_2d=False)\n"
]
},
{
"cell_type": "markdown",
"id": "f9a2b630",
"metadata": {},
"source": [
"The list of arrays `proc.data` contains the actual chain data, which can be useful for diagnostics."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d058a4c0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x112cdfbb0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(proc.data[0][:,0], ',')\n",
"plt.axvline(3000) # check that the burn-in above is enough"
]
},
{
"cell_type": "markdown",
"id": "59c2f12f",
"metadata": {},
"source": [
"## Automatic postprocessing\n",
"\n",
"The `proc.elements` attribute shows all the different plotting and stats classes that will be run.\n",
"\n",
"The `run` method will run all those different steps."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "24e2d548",
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'cosmosis.postprocessing.plots.MetropolisHastingsPlots1D'>\n",
"<class 'cosmosis.postprocessing.plots.MetropolisHastingsPlots2D'>\n",
"<class 'cosmosis.postprocessing.statistics.MetropolisHastingsStatistics'>\n",
"<class 'cosmosis.postprocessing.statistics.MetropolisHastingsCovariance'>\n",
"<class 'cosmosis.postprocessing.statistics.Citations'>\n",
" - 1D plot cosmological_parameters--omega_m\n",
" - 1D plot cosmological_parameters--h0\n",
" - 1D plot cosmological_parameters--omega_k\n",
" - 1D plot supernova_params--m\n",
"(Making 2D plots using KDE; this takes a while but is really cool)\n",
" (making cosmological_parameters--omega_m vs cosmological_parameters--h0)\n",
" (making cosmological_parameters--omega_m vs cosmological_parameters--omega_k)\n",
" (making cosmological_parameters--omega_k vs cosmological_parameters--h0)\n",
" (making supernova_params--m vs cosmological_parameters--omega_m)\n",
" (making supernova_params--m vs cosmological_parameters--h0)\n",
" (making supernova_params--m vs cosmological_parameters--omega_k)\n",
"Samples after cutting: 6600\n",
"\n",
"Marginalized mean, std-dev:\n",
" cosmological_parameters--omega_m = 0.310317 ± 0.0557767 \n",
" cosmological_parameters--h0 = 0.729993 ± 0.0131666 \n",
" cosmological_parameters--omega_k = -0.0377685 ± 0.139943 \n",
" supernova_params--m = -19.2622 ± 0.0414897 \n",
" prior = 1.89712 ± 2.22045e-16 \n",
" post = -20.6524 ± 1.32987 \n",
"\n",
"\n",
"Marginalized 1D peak, 68% asymmetric error bars:\n",
" cosmological_parameters--omega_m = 0.322987 + 0.0635953 - 0.046206 \n",
" cosmological_parameters--h0 = 0.73087 + 0.0124639 - 0.0134883 \n",
" cosmological_parameters--omega_k = -0.0683653 + 0.124647 - 0.148617 \n",
" supernova_params--m = -19.2503 + 0.0299562 - 0.0519995 \n",
" prior = nan + nan - nan \n",
" post = -19.769 + 0.679366 - 1.35873 \n",
"\n",
"\n",
"Marginalized 1D peak, 95% asymmetric error bars:\n",
" cosmological_parameters--omega_m = 0.322987 + 0.07701 - 0.116757 \n",
" cosmological_parameters--h0 = 0.73087 + 0.0252693 - 0.0268059 \n",
" cosmological_parameters--omega_k = -0.0683653 + 0.321205 - 0.210941 \n",
" supernova_params--m = -19.2503 + 0.0700862 - 0.0932599 \n",
" prior = nan + nan - nan \n",
" post = -19.769 + 0.920431 - 3.48449 \n",
"\n",
"Marginalized median, std-dev:\n",
" cosmological_parameters--omega_m = 0.316346 ± 0.0557767\n",
" cosmological_parameters--h0 = 0.730044 ± 0.0131666\n",
" cosmological_parameters--omega_k = -0.0541123 ± 0.139943\n",
" supernova_params--m = -19.2608 ± 0.0414897\n",
" prior = 1.89712 ± 2.22045e-16\n",
" post = -20.3174 ± 1.32987\n",
"\n",
"Best likelihood:\n",
" cosmological_parameters--omega_m = 0.323116\n",
" cosmological_parameters--h0 = 0.734125\n",
" cosmological_parameters--omega_k = -0.0770627\n",
" supernova_params--m = -19.2524\n",
" prior = 1.89712\n",
" post = -18.8486\n",
"\n",
"95% lower limits:\n",
" cosmological_parameters--omega_m > 0.2058\n",
" cosmological_parameters--h0 > 0.708039\n",
" cosmological_parameters--omega_k > -0.240826\n",
" supernova_params--m > -19.3316\n",
" prior > 1.89712\n",
" post > -23.265\n",
"\n",
"95% upper limits:\n",
" cosmological_parameters--omega_m < 0.38943\n",
" cosmological_parameters--h0 < 0.751532\n",
" cosmological_parameters--omega_k < 0.233731\n",
" supernova_params--m < -19.1968\n",
" prior < 1.89712\n",
" post < -19.1344\n",
"\n",
"68% lower limits:\n",
" cosmological_parameters--omega_m > 0.288276\n",
" cosmological_parameters--h0 > 0.724138\n",
" cosmological_parameters--omega_k > -0.113959\n",
" supernova_params--m > -19.2816\n",
" prior > 1.89712\n",
" post > -20.9735\n",
"\n",
"68% upper limits:\n",
" cosmological_parameters--omega_m < 0.343235\n",
" cosmological_parameters--h0 < 0.735995\n",
" cosmological_parameters--omega_k < 0.0122938\n",
" supernova_params--m < -19.2426\n",
" prior < 1.89712\n",
" post < -19.8489\n",
"\n",
"\n",
"#You should cite these papers in any publication based on this pipeline.\n",
" http://arxiv.org/abs/1201.3654\n",
" http://arxiv.org/abs/astro-ph/9911177\n",
" Scolnic et al, ApJ, 859, 28\n",
" Riess et al, ApJLett, 908, 1\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jzuntz/src/cosmosis/env/lib/python3.9/site-packages/cosmosis/plotting/kde.py:33: RuntimeWarning: invalid value encountered in true_divide\n",
" normalized_points.append((column-col_mean)/col_std)\n"
]
},
{
"data": {
"text/plain": [
"['./cosmological_parameters--omega_m.png',\n",
" './cosmological_parameters--h0.png',\n",
" './cosmological_parameters--omega_k.png',\n",
" './supernova_params--m.png',\n",
" './2D_cosmological_parameters--omega_m_cosmological_parameters--h0.png',\n",
" './2D_cosmological_parameters--omega_m_cosmological_parameters--omega_k.png',\n",
" './2D_cosmological_parameters--omega_k_cosmological_parameters--h0.png',\n",
" './2D_supernova_params--m_cosmological_parameters--omega_m.png',\n",
" './2D_supernova_params--m_cosmological_parameters--h0.png',\n",
" './2D_supernova_params--m_cosmological_parameters--omega_k.png',\n",
" './means.txt',\n",
" './medians.txt',\n",
" './best_fit.txt',\n",
" './low95.txt',\n",
" './upper95.txt',\n",
" './low68.txt',\n",
" './upper68.txt',\n",
" './lerr68.txt',\n",
" './uerr68.txt',\n",
" './lerr95.txt',\n",
" './uerr95.txt',\n",
" './peak1d.txt',\n",
" './covmat.txt',\n",
" './proposal.txt',\n",
" './citations.txt']"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for p in proc.elements:\n",
" print(p)\n",
"\n",
"proc.run()\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "d2c149dc",
"metadata": {},
"source": [
"## Manual Control\n",
"\n",
"If we want finer-grained control we can also make and use a specific postprocessor element. For example, let's make some 2D plots."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "3a87e41f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" (making cosmological_parameters--omega_m vs supernova_params--m)\n",
" (making cosmological_parameters--h0 vs supernova_params--m)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plotter = MetropolisHastingsPlots2D(proc)\n",
"\n",
"fig = plt.figure()\n",
"plotter.make_2d_plot(\"cosmological_parameters--omega_m\", \"supernova_params--m\", fig)\n",
"\n",
"fig = plt.figure()\n",
"plotter.make_2d_plot(\"cosmological_parameters--h0\", \"supernova_params--m\", fig)\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "fb697400",
"metadata": {},
"source": [
"You can get even more fine-grained control by using the methods on the `plotter` object itself. \n",
"`get_reduced_col` will get you a column with any burn-in or thinning removed. \n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "981c6d30",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Likelihood')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plotter = MetropolisHastingsPlots1D(proc)\n",
"x = plotter.reduced_col(\"supernova_params--m\")\n",
"# This second name \n",
"x, L = plotter.smooth_likelihood(x, \"supernova_params--m\")\n",
"plt.figure()\n",
"plt.plot(x, L)\n",
"plt.xlabel(\"Supernova M parameter\")\n",
"plt.ylabel(\"Likelihood\")"
]
},
{
"cell_type": "markdown",
"id": "b3f62739",
"metadata": {},
"source": [
"## Using derived parameters\n",
"\n",
"You can easily add simple derived parameters using the `derive_extra_column` method. Once this is run, the new column can be used in plots and stats."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "00991d03",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" (making cosmological_parameters--ommh2 vs supernova_params--m)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def ommh2(chain):\n",
" h = chain['cosmological_parameters--h0']\n",
" omm = chain['cosmological_parameters--omega_m']\n",
" name = \"cosmological_parameters--ommh2\"\n",
" return omm * h**2, name\n",
"\n",
"proc.derive_extra_column(ommh2)\n",
"\n",
"fig = plt.figure()\n",
"plotter = MetropolisHastingsPlots2D(proc)\n",
"plotter.make_2d_plot(\"cosmological_parameters--ommh2\", \"supernova_params--m\", fig)\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.9.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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