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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# MCMC with `emcee` and `numpyro`\n", | |
"\n", | |
"## Quantifying uncertainty in low-dimensional data\n", | |
"\n", | |
"Michael Gully-Santiago \n", | |
"Research Fellow University of Texas at Austin Department of Astronomy \n", | |
"\n", | |
"September 2020" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<style>.container { width:100% !important; }</style>" | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"from IPython.core.display import display, HTML\n", | |
"display(HTML(\"<style>.container { width:100% !important; }</style>\"))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%config InlineBackend.figure_format = 'retina'" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"n_obs = 50\n", | |
"x = np.linspace(0, 1, num=n_obs)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Make some fake data from an underlying polynomial:\n", | |
"\n", | |
"$$y= a x^2 + bx + c$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"true_a, true_b, true_c = 0.2, 1.8, -0.07" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def model(params, x):\n", | |
" true_a, true_b, true_c = params\n", | |
" y = true_a * x**2 + true_b * x + true_c\n", | |
" return y" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"true_params = (true_a, true_b, true_c)\n", | |
"y_noise_free = model(true_params, x)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"error_bars = np.random.uniform(0.1, 0.3, size=n_obs)\n", | |
"noise_draw = np.random.normal(np.zeros(n_obs), error_bars)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"y_observed = y_noise_free + noise_draw" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 261, | |
"width": 393 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(x, y_noise_free, label='Truth'); plt.xlabel('$x$'); plt.ylabel('$y$');\n", | |
"plt.errorbar(x, y_observed, label='Observed',yerr=error_bars, fmt='k.'); plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### We want to quantify the uncertainties in $a$, $b$, and $c$. \n", | |
"\n", | |
"We can write down a *chi-squared* likelihood function to use MCMC. You can learn more about emcee here: \n", | |
"\n", | |
"1. https://speakerdeck.com/dfm/data-analysis-with-mcmc\n", | |
"2. https://emcee.readthedocs.io/en/stable/tutorials/line/\n", | |
"3. https://speakerdeck.com/dfm/emcee-odi\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import emcee\n", | |
"import multiprocessing as mp\n", | |
"from multiprocessing import Pool" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def ln_likelihood(params, x, data, uncertainty):\n", | |
" model_guess = model(params, x)\n", | |
" residuals = model_guess - data\n", | |
" chi_squared = np.sum((residuals/uncertainty)**2) \n", | |
" return -0.5*chi_squared" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"n_walkers = mp.cpu_count()*4\n", | |
"n_dim = len(true_params)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"initial_guess = np.array(true_params) + np.random.normal(0, 1.0e-4, size=(n_walkers, n_dim)) " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"n_samples = 1000" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def ln_like_fixed_args(params):\n", | |
" return ln_likelihood(params, x, y_observed, error_bars)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 1000/1000 [00:03<00:00, 289.51it/s]\n" | |
] | |
} | |
], | |
"source": [ | |
"with Pool() as pool:\n", | |
" sampler = emcee.EnsembleSampler(n_walkers, n_dim, ln_like_fixed_args, pool=pool)\n", | |
" sampler.run_mcmc(initial_guess, n_samples, progress=True);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": { | |
"scrolled": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import corner" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"flat_samples = sampler.get_chain(discard=100, thin=48, flat=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"labels = ['$a$', '$b$', '$c$']" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 547.2x547.2 with 9 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 531, | |
"width": 513 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig = corner.corner(\n", | |
" flat_samples, labels=labels, truths=[true_a, true_b, true_c], quantiles=(0.05, 0.50, 0.95), show_titles=True\n", | |
");" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Great! We get the right answer, and uncertainty contours. In general, `emcee` works great for a moderately low number of parameters. \n", | |
"\n", | |
"The problem is that `emcee` [stops being accurate for more than ~ tens of parameters](https://statmodeling.stat.columbia.edu/2017/03/15/ensemble-methods-doomed-fail-high-dimensions/). \n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Hamiltonian Monte Carlo with `numpyro` and GPU computing\n", | |
"\n", | |
"You can learn more about Hamiltonian Monte Carlo and numpyro here:\n", | |
"\n", | |
"1. https://arxiv.org/abs/1111.4246\n", | |
"2. https://pyro.ai/numpyro/" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from jax.config import config\n", | |
"config.update(\"jax_enable_x64\", True)\n", | |
"import jax\n", | |
"import jax.numpy as jnp" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/gully/GitHub/jax/jax/lib/xla_bridge.py:130: UserWarning: No GPU/TPU found, falling back to CPU.\n", | |
" warnings.warn('No GPU/TPU found, falling back to CPU.')\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"[CpuDevice(id=0)]" | |
] | |
}, | |
"execution_count": 23, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"jax.devices()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We can send the numpy arrays to the GPU:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 24, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"xj = jnp.asarray(x)\n", | |
"yj = jnp.asarray(y_observed)\n", | |
"uncj = jnp.asarray(error_bars)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 25, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpyro\n", | |
"import numpyro.distributions as dist\n", | |
"from numpyro.infer import MCMC, NUTS, init_to_value\n", | |
"from jax import random" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Define the numpyro-based model." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def numpyro_model():\n", | |
"\n", | |
" a = numpyro.sample(\"a\", dist.Uniform(-10, 10))\n", | |
" b = numpyro.sample(\"b\", dist.Uniform(-10, 10))\n", | |
" c = numpyro.sample(\"c\", dist.Uniform(-10, 10))\n", | |
" \n", | |
" model_guess = a*xj**2 + b*xj + c\n", | |
" numpyro.sample(\"obs\", dist.Normal(model_guess, uncj), obs=yj)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 27, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"init_params = {'a':true_a, 'b':true_b, 'c':true_c}" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 28, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"kernel = NUTS(numpyro_model, dense_mass=True,init_strategy=init_to_value(values=init_params))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 29, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"num_warmup, num_samples = 100, 1000" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"mcmc = MCMC(kernel, num_warmup, num_samples, num_chains=1, progress_bar=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rng = random.PRNGKey(0)\n", | |
"rng, rng_ = random.split(rng)\n", | |
"mcmc._compile(rng)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 32, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"sample: 100%|██████████| 1100/1100 [00:01<00:00, 925.83it/s, 3 steps of size 3.57e-01. acc. prob=0.96] \n" | |
] | |
} | |
], | |
"source": [ | |
"mcmc.run(rng_)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 33, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"samples = mcmc.get_samples()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 34, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"flat_samples_HMC = np.vstack([samples['a'], samples['b'], samples['c']]).T" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 35, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 547.2x547.2 with 9 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 513, | |
"width": 513 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig = corner.corner(\n", | |
" flat_samples, labels=labels, color='r');\n", | |
"\n", | |
"fig2 = corner.corner(\n", | |
" flat_samples_HMC, labels=labels, color='b',truths=[true_a, true_b, true_c], truth_color='k', fig=fig\n", | |
");" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We get the same answer with `emcee` or `numpyro`, as we'd expect." | |
] | |
} | |
], | |
"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": "3.6.10" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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