{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Fitting Mass Functions with `emcee`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this demo, we provide a very simple example of how to fit mass functions with `emcee`. This example does not do anything with the complexity required for fitting real-world data. It does not account for measurement error or Eddington bias. However, it gives a taste of what is achievable." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from multiprocessing import Pool\n", "\n", "import emcee\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from IPython.display import Markdown\n", "from IPython.display import display as ipdisplay\n", "from scipy.stats import poisson\n", "\n", "import hmf\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'3.0.2'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "emcee.__version__" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'3.1.3.dev4+ge4212c6.d20200721'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hmf.__version__" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Some Mock Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's create a default model mass function:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "model = hmf.MassFunction(z=1.5, transfer_model=\"EH\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's create some mock data, based on the true mass function, but with some randomness assuming the mass function was measured (perfectly) in some volume:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "volume = 100**3 # Mpc^3 / h^3" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "rng = np.random.default_rng(seed=42)\n", "counts_per_bin = rng.poisson(model.dndlog10m * volume * model.dlog10m)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(model.m, model.dndlog10m * volume * model.dlog10m)\n", "plt.plot(model.m, counts_per_bin)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define a likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's define a likelihood function, based on some input model for `dndlog10m`. The model is simply a Poisson model. We take the model into the space in which it describes an actual number of observations, and get the log pdf there:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "def log_likelihood(model, data, volume, dlog10m):\n", " return np.sum(poisson.logpmf(data, mu=model * volume * dlog10m))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define an `emcee`-compatible likelihood function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define a likelihood function for `emcee`. There is a bit more flexibility here, as this function needs to calculate priors on all input parameters, and handle exceptions as well. This means this function is rather specific to the problem at hand. We will define a very simple function, but one that is fairly general." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "fiducial_model = model.clone()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we define a small utility function that will take a dictionary in which keys may be dot-paths, and converts it to a nested dictionary:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "def flat_to_nested_dict(dct: dict) -> dict:\n", " \"\"\"Convert a dct of key: value pairs into a nested dict.\n", "\n", " Keys that have dots in them indicate nested structure.\n", " \"\"\"\n", "\n", " def key_to_dct(key, val, dct):\n", " if \".\" in key:\n", " key, parts = key.split(\".\", maxsplit=1)\n", "\n", " if key not in dct:\n", " dct[key] = {}\n", "\n", " key_to_dct(parts, val, dct[key])\n", " else:\n", " dct[key] = val\n", "\n", " out = {}\n", " for k, v in dct.items():\n", " key_to_dct(k, v, out)\n", "\n", " return out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, this will do the following:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'nested': {'key': 1, 'key2': 2}, 'non_nested': 3}" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flat_to_nested_dict({\"nested.key\": 1, \"nested.key2\": 2, \"non_nested\": 3})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This will enable us to pass a list of parameter names that we want updated, which could be parameters of nested models. This means our posterior function is fairly general, and can accept any model parameters to be updated:" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [], "source": [ "def log_prob(param_values, param_names, data, model, volume, derived=None):\n", " # Update the base model with all the parameters that are being constrained.\n", " params = flat_to_nested_dict(dict(zip(param_names, param_values, strict=True)))\n", "\n", " model.update(**params)\n", "\n", " derived = [getattr(model, d) for d in derived] if derived is not None else []\n", "\n", " return log_likelihood(model.dndlog10m, data, volume, model.dlog10m), derived" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can test that the `log_prob` function works:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-1390.6879386397318, [array(5.83204315e+10)])" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_prob([0.9], [\"sigma_8\"], counts_per_bin, model, volume, derived=[\"mass_nonlinear\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the derived parameters: we can pass any `quantity` of the `MassFunction`, and it will be stored on every iteration. Nice!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run `emcee`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's first run a simple model in which we just want to fit $\\sigma_8$ and the spectral index $n_s$. We use the popular `emcee` package, and pass in our `log_prob` model:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/steven/Documents/Projects/halos/HMF/hmf/src/hmf/mass_function/hmf.py:377: UserWarning: Nonlinear mass outside mass range\n", " warnings.warn(\"Nonlinear mass outside mass range\")\n", "/home/steven/Documents/Projects/halos/HMF/hmf/src/hmf/mass_function/hmf.py:377: UserWarning: Nonlinear mass outside mass range\n", " warnings.warn(\"Nonlinear mass outside mass range\")\n", "/home/steven/Documents/Projects/halos/HMF/hmf/src/hmf/mass_function/hmf.py:377: UserWarning: Nonlinear mass outside mass range\n", " warnings.warn(\"Nonlinear mass outside mass range\")\n" ] } ], "source": [ "sampler = emcee.EnsembleSampler(\n", " nwalkers=100,\n", " ndim=2,\n", " log_prob_fn=log_prob,\n", " kwargs={\n", " \"param_names\": [\"sigma_8\", \"n\"],\n", " \"data\": counts_per_bin,\n", " \"model\": model,\n", " \"volume\": volume,\n", " \"derived\": [\"mass_nonlinear\"],\n", " },\n", " pool=Pool(4),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the advice of the `emcee` documentation, we set up some initial positions of the walkers around the solution." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "initialpos = np.array([fiducial_model.sigma_8, fiducial_model.n]) + 1e-4 * rng.normal(\n", " size=(sampler.nwalkers, sampler.ndim)\n", ")" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "State([[0.812517 0.96740204]\n", " [0.82984608 0.96694073]\n", " [0.81653361 0.9656326 ]\n", " [0.82261185 0.9665801 ]\n", " [0.8102518 0.96749993]\n", " [0.82020062 0.96884229]\n", " [0.81968681 0.96613499]\n", " [0.80751869 0.96396036]\n", " [0.81132914 0.96522728]\n", " [0.81345488 0.96482091]\n", " [0.81815306 0.96822774]\n", " [0.82297313 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1849789313,\n", " 917831583, 1379938533, 1201309631, 1916489413, 939972893,\n", " 2559681176, 2608651579, 128801680, 3336439102, 4205359464,\n", " 3828736694, 2019738972, 615246111, 229646520, 1698302061,\n", " 1842255150, 274408184, 3649941914, 730146959, 1893410131,\n", " 407308887, 2690056582, 2652547863, 872367158, 1492485614,\n", " 2167076284, 1350370028, 2006375714, 3950254470, 2771767598,\n", " 1318091799, 2469195389, 1979294351, 1365918688, 1183647078,\n", " 566655925, 1183675245, 586625897, 243677354, 2389983177,\n", " 3241818314, 1161339473, 480728130, 2829007285, 184202686,\n", " 2648706587, 2429610140, 2878526130, 1118671801, 927419511,\n", " 3137099824, 1109566077, 19619536, 3011767601, 1515942761,\n", " 978363680, 2258141828, 1147637173, 3035709180, 1793921134,\n", " 2471664108, 709617420, 1679336914, 3530543110, 1969798978,\n", " 1713618494, 3740529277, 7127194, 3596808460, 3909109339,\n", " 2198411294, 4154633975, 1492379234, 2701612560, 1431699733,\n", " 3276341236, 4076082523, 1795101047, 3788458884, 3655229412,\n", " 20755759, 2809107836, 3574786795, 2796825240], dtype=uint32), 345, 0, 0.0))" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sampler.run_mcmc(initialpos, nsteps=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the posterior as a heatmap, with the true input values shown as white lines:" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hexbin(sampler.chain[:, 500:, 0].flatten(), sampler.chain[:, 500:, 1].flatten())\n", "plt.axvline(fiducial_model.sigma_8, color=\"white\")\n", "plt.axhline(fiducial_model.n, color=\"white\")\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we're done! The posterior contains the truth to within 1-sigma, and we have ~1% error-bars on $\\sigma_8$ and ~0.2% error-bars on $n$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## An example of fitting a new fitting function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perhaps you are a simulator and want to deliver a new fitting function, or at least new parameters for a particular fitting function. Let's look at an example of this. We choose the Sheth-Tormen function:" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [], "source": [ "fiducial_model = hmf.MassFunction(z=0, hmf_model=\"SMT\", dlog10m=0.2, Mmin=10, Mmax=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The functional form of $f(\\nu)$ is:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "$A\\sqrt{2a/\\pi}\\nu\\exp(-a\\nu^2/2)(1+(a\\nu^2)^{-p})$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ipdisplay(Markdown(f\"${fiducial_model.hmf._eq}$\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fitted parameters are:" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'a': 0.707, 'p': 0.3, 'A': 0.3222}" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fiducial_model.hmf.params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we use a Poisson model to create mock data, this time in a Gpc volume:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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fU2x16Jv1R3xP92DpxPvZsXGF1xElDPh9ELh8C+DDCruAbgGucs6NKl++C+jrnBt3tuvWLiAJF87nY93yuRz84gV6H5xLjJWQHdsbd/4oelx6GxapcwqkaoJ2ELgSeUC7CsttgR0BmEek1rCICHpkXE6/f5vOgYdX8GX7MTQ5vo3kLx+h4PfdWP7Wf3DkgLaIpXoFogCWAl3MrIOZxQDDgRkBmEekVmrZuh0X3f8kzX6Vxdd9J7Azqi19Nj6LPdOTzIn3sXPTKq8jSi3h77uA3gEuBeKAfOC3zrlXzOxq4BkgEpjinPvDuaxfu4BEwDlH9oqvKJw7nj6Fn1HHSlhVtx+RAx8h+YJheveQ/EBIngh2LlQAIj+Uv2MrOTPH0z1vGs0pLLthTc/7Sbv6AWLr1vc6noQAFYBILXf82BFWzZpC3JqX6ej7ln00Yn3bW+hyzY+Ja9Pe63jiIRWASJhwPh9Zi2ZSvPA50o58TQmRrGgymGaXP0bntAu8jiceUAGIhKG8nNVsn/0Mqbs/oJ6dYE1MGkUZD5I+aDiRUX6d8yk1iApAJIwV7i9g3UcTScz5K60pIM9as73bvaReO4Z6DRp7HU8CTAUgIpQUF7Hqs7/SYNkkupasp5D6ZCfcQudrf0JcmySv40mAqABE5AfWLfmUo188S6/DCyghglVNBhN35b+R1LOf19GkmqkAROSU8jatJe/jv5C6+wPq2wnWxPbBLniU5Auv1/kEtYQKQERO68De3WR9+CydN79NS/aRE9mJQxnjSLviLh0wruFUACJSJcePHWXFR5NJWPsi7dwOtlk8O1NGk37Ng9SJ1V3LaiIVgIicldKSElZ8+iaNMyfQuXQTBTQlp9M9pFz3GA0bN/M6npwFFYCInBPn87F2wQxs4V/oeWIlB6nP2rbD6XH9z2nSoo3X8aQKVAAi4rec5fM4POd/6HVkIUddHda0uZFO1z1B8/gkr6PJaagARKTafJudScGsP9G7cA4+jNUtriFx2K+IS+zhdTQ5Ba9vCCMitUhSjwzO/+l0dty9kKXNhpFSMIumUwaw6pmbyN+gP9BqMhWAiFRJ+07JDHzsdQpGLmVByxF03L+QVm9fzqpnbqJgS7bX8eQcqABE5Ky0bd+BSx55gYMPr+DzlvfQef8CmkwZSObE+9ibv9XreHIWVAAick7iW7dh0Jjx7B+1hCXNhpG++33qPp/Bopd+TOH+vV7HkypQAYiIXxLaJTHwsdfZcecXZDcayIDtr+KeTePL13/L4SOHvY4np6ECEJFqkdgllfP+7R9svmkm2+t256LNz3D4qXQWTh9PcXGx1/HkFFQAIlKtOqQNpOcv57Bp6NsciW7KwDX/zrYnz+Obz6bifD6v40kFKgARCYhO/a6h4xNLWDXgGeq4E/Re8CDZf7qYnOXzvI4m5VQAIhIwFhFB2lX30fKJlSzu8QStirbSecb1rHz6OvI3r/E6XthTAYhIwEXHxNLvtseJ/skKFiSMovPBr2n+2kV8M2kUxw7t9zpe2FIBiEjQNGrcjAsfeJrCB5byddNhpO+czqGnz2PFp297HS0sqQBEJOji2yZy4Y/fIOvqdzkc0YBeCx8m83+GsX3bt15HCysqABHxTEq/y2n3+FKWdHiE1COLaPDyBXz+9lOcKC7xOlpYCFoBmFkPM5tkZtPN7OFgzSsioS06pg597/kjB+6dR37dzgza8Huyn7yEzGVLvY5W6/lVAGY2xcx2m9mak8aHmNl6M8sxs8cBnHPZzrmHgFuBKl2qVETCR6sOKXT9xTzWn/97OvlySZ0xlBnP/5LCw8e9jlZr+bsF8BowpOKAmUUCE4GhQDIwwsySyx+7DlgAzPFzXhGpjSIi6HbNOKIfzWRr84Fct3sSOU8P4qvlK7xOViv5VQDOufnAvpOG+wI5zrlc51wRMBW4vvz7ZzjnLgDu8GdeEandYpsl0GXcP9l28dP0cLmkvD+Uqa/8hcMndGygOgXiGEACsK3Cch6QYGaXmtl4M3sRmFnZk81stJllmllmQUFBAOKJSI1gRrtBo4gcs4CDDTsxfNt/svB/bmRJ9mavk9UagSgAO8WYc87Nc8496px70Dk3sbInO+cmO+cynHMZLVq0CEA8EalJ6rTsTNufzGN7758wuHQB8VMH8+pbf+VYUanX0Wq8QBRAHtCuwnJbYEcA5hGRcBEZRcL1v6P4nlnUjY3lng1j+cdTo1izRXsJ/BGIAlgKdDGzDmYWAwwHZgRgHhEJM7Ed+tP8p4sp6HILtxe/B1Ou4MPP5+Gc8zpajeTv20DfARYB3cwsz8xGOudKgLHAbCAbmOacW+t/VBERoE4DWt35EodueJ3EyL1c/sUt/GPyf3JMB4jPmoVyc2ZkZLjMzEyvY4hIiCot3Mm2V+8l6cDXLI4+n/i7X6ZduySvY3nKzJY556p0rpUuBSEiNVZk4zYkPTqLDX1+Q6/iFdR75WK++Wyq17FqDBWAiNRsERF0ve7n7L/jEw5GNqP3ggf55oX7KTmu+xGfiQpARGqF1l360OZnX/Fl3G30zn+X/P/tz8G8bK9jhTQVgIjUGrF163HR2Ml80e8l6hYfwL1yBQXZC7yOFbJUACJS61wy9Fa23PA+hb56NPrbjWz/errXkUKSCkBEaqXevc/j2N2z2WiJtP54FFtmj/c6UshRAYhIrdWtUweaPPQxX0dmkLjo39k89efg83kdK2SoAESkVmvbKo7uj73PrNihdFg3mS0v3wklRV7HCgkqABGp9Zo3qs/FP36TaY3vI3HHR2x77hrcsQNex/KcCkBEwkL92GhuGPcX3mzzK1rvX0b++MG444Vex/KUCkBEwkZMVAR3PPALpnV5iuZHc8mddBv4wvey0ioAEQkrERHG7Xfcz4ftfkqnA4tY9eo4ryN5RgUgImHHzLju/l/zeZMfkbbtLTLf/X9eR/KECkBEwlJkhDFwzAusjM0gfdV/s3Tu+15HCjoVgIiErToxdej88N/ZFRVP53lj+GbFMq8jBZUKQETCWv3GzWh037tERhiN/3EXWZu3eR0paFQAIhL2GrftRvHNr9PednHg9TvJzQ+PcwRUACIiQPOel7P/sj9zASvInDyGXYXHvY4UcCoAEZFyLS55gIKUB7i19COmT/odx4tr9zkCKgARkQpa3PRn9sRfxthjLzDrtT96HSegVAAiIhVFRBJ331Rymgzkxu3/y5p3n/Q6UcCoAEREThYdS+KY91hUZyApq//Evo//5HWigFABiIicQnRMLIkP/o2ZXEizr5+k5NP/Aue8jlWtVAAiIpWIb9aQ2FtfYmrJpUQtfBo++U2tKgEVgIjIaQxKjmfzgD/yWsmVsOg5mPmzWnNXsSivA4iIhLqfDenBbd8+hm93LPcvfRmKj8N14yEi0utofgnaFoCZdTSzV8xserDmFBGpDtGREUy44zyetTt5K3YErPgrzP2D17H85lcBmNkUM9ttZmtOGh9iZuvNLMfMHgdwzuU650b6M5+IiFcSmtTl6Vt78esDw8hqfDEsex1Ki72O5Rd/twBeA4ZUHDCzSGAiMBRIBkaYWbKf84iIeG5wcitGXdiBvxScD0f3QM4cryP5xa8CcM7NB/adNNwXyCn/i78ImApc7888IiKh4hdDurOn9YUcoCHF37ztdRy/BOIYQAJQ8XqqeUCCmTU3s0lAbzN7orInm9loM8s0s8yCgoIAxBMROXcxURH87sY+/LNkALZ+FhyruVcODUQB2CnGnHNur3PuIedcJ+dcpedWO+cmO+cynHMZLVq0CEA8ERH/9GrXhINdf0SUK2L34qlexzlngSiAPKBdheW2wI4AzCMi4pnbb7yBXBLY/9WbuBp6clggCmAp0MXMOphZDDAcmBGAeUREPBPXMJZ9nW+iW9Ea5i9e4nWcc+Lv20DfARYB3cwsz8xGOudKgLHAbCAbmOacW+t/VBGR0NLr6gfwYWz8bArHimrevQP8OhPYOTeikvGZwEx/1i0iEuqimiVS2Lo/g3fM5YV5Ofz0ym5eRzoruhaQiIgfGve7i6SIfBbPn8XWvUe9jnNWVAAiIv5Ivg4XVZcbI77kvz/K8jrNWVEBiIj4o05DrMcwbohZzPysbcxbv9vrRFWmAhAR8Vf6cGJLDjG8SRb/9UEWRSU143LRKgAREX91vBQatGZc80xy9xxhysLNXieqEhWAiIi/IiIh7Vbids7nhq4xjJ+zkV2Fx71OdUYqABGR6pA+HHwl/EdSNsWlPl6Yl+N1ojNSAYiIVIdWPaF1Ks1y3uO69ASmZeax/0iR16lOSwUgIlJd0kfAjm8Ym1LCseJS/vr1Fq8TnZYKQESkuqTcDBZJhx0fcGm3Fry+6FuOF4fuJSJUACIi1aVhK+h8OayaxuiLkthzuIj3lm/3OlWlVAAiItUpfTgc3M6AiCxSExrz8pe5+HyhebloFYCISHVKvBAA27OR0Rd3JHfPET7Nzvc41KmpAEREqpP938vq0JTWtG1al5fm53oYqHIqABGRAImKjGDkhR3I3LKfZVv2ex3nX6gAREQC6NaMdjSuG83k+Zu8jvIvVAAiIgFUv04Ud/VP5JOsfHILDnsd5wdUACIiAXbPBUlER0bw8oLQukicCkBEJMBaNKzDj/okMH1ZHnsOn/A6zvdUACIiQTDqoo4Ul/p446tvvY7yPRWAiEgQdGrRgME9WvHG11s4VhQal4dQAYiIVCezSh8afXFHDhwt5u/LtgUxUOVUACIiQZKR2JTe7Zvw8pebKQ2By0OoAEREgsTMGH1RR7buO8oXG7y/ebwKQEQkiC7v0YpGsVF8uHKn11FUACIiwRQTFcHQlDZ8kpXv+b0CglYAZtbRzF4xs+nBmlNEJBQNS4/n8IkS5q33djdQlQrAzKaY2W4zW3PS+BAzW29mOWb2+OnW4ZzLdc6N9CesiEht0L9jM+IaxPCBx7uBqroF8BowpOKAmUUCE4GhQDIwwsySzSzVzD486aNltaYWEanBoiIjuDq1DXPW5XP4RIlnOapUAM65+cC+k4b7Ajnlf9kXAVOB651zq51z15704f3hbhGRYHKnf5vnsPR4jhf7mOPhzWL8OQaQAFQ8myGvfOyUzKy5mU0CepvZE6f5vtFmlmlmmQUFBX7EExHxQuUnglV0XvumtGkcywcrdwQ4T+X8KYBT/VdWWnnOub3OuYecc52cc0+e5vsmO+cynHMZLVq08COeiEjoiogwrk1rwxcbCig8WuxNBj+emwe0q7DcFvCuykREaphh6fEUlzpmr93lyfz+FMBSoIuZdTCzGGA4MKN6YomI1H6pCY1JbF6PD1Z587dzVd8G+g6wCOhmZnlmNtI5VwKMBWYD2cA059zawEUVEaldzIxhafEszNnjyX0CqvouoBHOuTbOuWjnXFvn3Cvl4zOdc13L9+v/IbBRRURqn2Hp8fgczFod/HMCdCkIEREPdWvdkK6tGnhyUpgKQETEY8PS4lny7T52Fh4L6rwqABGRgKj69f6vTY8H4KNVwd0KUAGIiFSn09wRrDId4uqTmtA46CeFqQBERELAsPQ2rMwrZMveI0GbUwUgIhICrkkr2w30YRB3A6kARERCQEKTumQkNg3qbiAVgIhIiBiWHs+6XYfYkH8oKPOpAEREQsTQ1NZEGHwYpK0AFYCISIho2TCWAZ2a88Gqnbgz3E+gOqgARERCyLC0eKIijH1HigI+V1TAZxARCUfn+Bf8LRntuO38dtg5nE9wtlQAIiIhJDIi8C/839EuIBGRMKUCEBEJUyoAEZEwpQIQEQlTKgARkTClAhARCVMqABGRgAj8mbz+smCcbnwuzGwYMAXYUj7UGCg8zdcnf44D9pzFlBXXeabHTresbMoWTtmqkkfZgpst0TnXokqJnXMh+QFMrmz5VF+f4nOmP/NVNYuyKVs4Z6tKHmXzPltlH6G8C+iD0yyf6uuTP/s7X1WzVJbnVJmUrfJlZatalsrynCpTMLJVJc+pMilbcLOdUsjuAvKXmWU65zK8znEqynZulO3cKNu5CYdsobwF4K/JXgc4DWU7N8p2bpTt3NT6bLV2C0BERE6vNm8BiIjIaagARETClApARCRMhUUBmFl7M5thZlPM7HF3thJNAAADZ0lEQVSv85zMzJLNbJqZvWBmN4dAno5m9oqZTa8wVt/MXjezl8zsjhDL9i9jXqkk3w3lP7f3zezKEMrVw8wmmdl0M3vYi1yVZSsfr29my8zsWq+ylec41c/uUjP7svznd2kI5Yowsz+Y2QQzu+dM66ixBVD+Yr7bzNacND7EzNabWU6FF/uuwEfOufuB5BDMNxSY4Jx7GLjb6zzOuVzn3MiTVnETMN059wBwXShlqyRvKOX7Z/nP7V7gthDKle2cewi4FajWtztWw+8bwC+BadWZqxrzOeAwEAvkhVCu64EEoLhKuarjbDIvPoCLgT7AmgpjkcAmoCMQA6yk7AW/OTAX+By4LwTztQQmAk8BC73OU+Hx6RW+fgLoVf7126GU7XRjIZbvaaBPKOWirMy/Am4PpZ8ZMBgYTllpXhtq/0+BiPLPrYC3QijX48CDlf0OnvxRY7cAnHPzgX0nDfcFclxZMxYBUylrxPuA3zrnBgHXhFo+59xu59wjlP3PO5trjwQkTyWryAPaln9drb831ZAtoPzNZ2X+DMxyzi0PlVzl65jhnLsAqNbdetWQ7TKgP3A78ICZhdTvnHPOV/7lfqBOqOSi7N/p/vKvS880X40tgEokANsqLOeVj30MPGpmk4BvPcj1nVPmM7MkM5sMvEHZVoDXeZqX/6x6m9kT5Y+9B/zIzF6gmk9H9zdbJXlDJh8wjrK/aG82s4dCJVf5fuzxZvYiMDPAuc4qm3Pu1865HwNvAy9VeMENiXxmdlP5z+1N4LlQyUXZv9OrzGwCMP9MK46q9qjeslOMOefcGsDzg6tUnu9bYHSQs0DlefYCD500eISyLalgOZts/zIWBGeTbzwwPiipzi7XPGBeEDJ9p8rZKjz4WkAT/dDZ/Ozeo+zFNhjOJtdRoMrHw2rbFkAe0K7Ccltgh0dZTiXU8oVanopCORuEbr5QzQWhnQ1CN1/ActW2AlgKdDGzDmYWQ9lBpBkeZ6oo1PKFWp6KQjkbhG6+UM0FoZ0NQjdf4HJV99H1YH0A7wA7+b+3O40sH78a2EDZUfNfK19o5qkp2UI5X6jmCvVsoZwv2Ll0MTgRkTBV23YBiYhIFakARETClApARCRMqQBERMKUCkBEJEypAEREwpQKQEQkTKkARETClApARCRM/X8nRaV+fY4ekAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "volume = 500**3 # Mpc^3 / h^3\n", "\n", "counts_per_bin = rng.poisson(fiducial_model.dndlog10m * volume * fiducial_model.dlog10m)\n", "\n", "plt.plot(fiducial_model.m, fiducial_model.dndlog10m * volume * fiducial_model.dlog10m)\n", "plt.plot(fiducial_model.m, counts_per_bin)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've already set up our probability function, which was already general enough to be able to fit the hmf parameters, so off we go!" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [], "source": [ "smt_model = fiducial_model.clone()" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [], "source": [ "sampler_hmf = emcee.EnsembleSampler(\n", " nwalkers=50,\n", " ndim=3,\n", " log_prob_fn=log_prob,\n", " kwargs={\n", " \"param_names\": [\"hmf_params.a\", \"hmf_params.p\", \"hmf_params.A\"],\n", " \"data\": counts_per_bin,\n", " \"model\": smt_model,\n", " \"volume\": volume,\n", " \"derived\": [\"dndlog10m\"],\n", " },\n", " pool=Pool(4),\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "init_pos = np.array(\n", " [smt_model.hmf.params[\"a\"], smt_model.hmf.params[\"p\"], smt_model.hmf.params[\"A\"]]\n", ") + 1e-4 * rng.normal(size=(sampler_hmf.nwalkers, sampler_hmf.ndim))" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "30b6ad27dd484534a0a49f0e3fb7de62", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=300), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "text/plain": [ "State([[0.70571872 0.30004471 0.32231539]\n", " [0.70126824 0.30036688 0.32263641]\n", " [0.70542706 0.30004243 0.32235664]\n", " [0.70898865 0.30002223 0.32194784]\n", " [0.70514584 0.30010418 0.32234736]\n", " [0.70760904 0.30015674 0.32201378]\n", " [0.70865575 0.29998153 0.32200619]\n", " [0.70629783 0.29995717 0.32231429]\n", " [0.70670178 0.30012446 0.32214238]\n", " [0.70399317 0.30004328 0.32251483]\n", " [0.71196335 0.29985674 0.32170366]\n", " [0.71287314 0.29977231 0.32165765]\n", " [0.70657605 0.30000788 0.322248 ]\n", " [0.70154182 0.30031702 0.32263111]\n", " [0.70613473 0.30017031 0.32218223]\n", " [0.69897046 0.30028188 0.32297026]\n", " [0.71286506 0.2998973 0.3215743 ]\n", " [0.70397023 0.30011033 0.322486 ]\n", " [0.70337736 0.30024625 0.32245751]\n", " [0.70244604 0.30028499 0.32254351]\n", " [0.70931581 0.30014018 0.32182071]\n", " [0.7067235 0.29986426 0.32232561]\n", " [0.70624881 0.3001988 0.3221465 ]\n", " [0.70516839 0.3000907 0.32235771]\n", " [0.70520897 0.30030826 0.32219668]\n", " 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2379793796,\n", " 1400039462, 574217339, 3745870590, 2568676665, 4204914693,\n", " 4178420999, 1025049129, 2312079962, 1529366137, 807512890,\n", " 3313511292, 3016205122, 3458450123, 3872882951, 2889320531,\n", " 849298377, 3777060733, 1968905376, 178914076, 1285520316,\n", " 506607041, 2752741930, 2752335761, 1852914679, 3789250202,\n", " 2354055305, 566936168, 4246993117, 755219712, 2082541872,\n", " 3551269501, 3035511209, 4008947182, 3838599958, 3825540922,\n", " 906345092, 1860802238, 4218213997, 4107261563, 4199247801,\n", " 1288820235, 1129275429, 4200462492, 3591363431], dtype=uint32), 600, 0, 0.0))" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sampler_hmf.run_mcmc(init_pos, nsteps=300, progress=\"notebook\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we can plot the posterior triangle plot:" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'p')" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(\n", " 2,\n", " 2,\n", " sharex=\"col\",\n", " sharey=\"row\",\n", " figsize=(10, 10),\n", " gridspec_kw={\"hspace\": 0, \"wspace\": 0},\n", ")\n", "\n", "flatchain = sampler_hmf.chain[:, 100:, :].reshape((-1, 3))\n", "\n", "ax[0, 0].hexbin(flatchain[:, 0], flatchain[:, 1])\n", "ax[1, 0].hexbin(flatchain[:, 0], flatchain[:, 2])\n", "ax[1, 1].hexbin(flatchain[:, 1], flatchain[:, 2])\n", "\n", "ax[1, 0].set_xlabel(\"a\", fontsize=15)\n", "ax[1, 0].set_ylabel(\"A\", fontsize=15)\n", "ax[1, 1].set_xlabel(\"p\", fontsize=15)\n", "ax[0, 0].set_ylabel(\"p\", fontsize=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we collected $dn/d\\log_{10}m$ as a derived parameter, we can also plot it:" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [], "source": [ "dndlog10m_samples = sampler_hmf.blobs[100:, :, :].reshape((-1, 40))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll make a plot of the posterior distribution of the mass function, as a fraction of the median of the distribution:" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [], "source": [ "percentiles = np.percentile(dndlog10m_samples, q=(16, 50, 84), axis=0)" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Mass')" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.fill_between(fiducial_model.m, percentiles[0] / percentiles[1], percentiles[2] / percentiles[1])\n", "plt.xscale(\"log\")\n", "plt.ylabel(\"Fractional difference to Median\")\n", "plt.xlabel(\"Mass\")\n", "# plt.yscale('log')" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:hmf]", "language": "python", "name": "conda-env-hmf-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 1 }