Created
March 31, 2023 12:48
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"import arviz as az\n", | |
"import pytensor.tensor as pt\n", | |
"import pymc as pm" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# create regularly spaced observations from a Gaussian random walk\n", | |
"rng = np.random.default_rng(12)\n", | |
"\n", | |
"N = 50\n", | |
"true_mu, true_std = 0.1, 1\n", | |
"t = np.arange(N)\n", | |
"y = (rng.normal(size=N) * true_std + true_mu).cumsum()\n", | |
"\n", | |
"# throw away some random observations. Those remaining will be irregularly spaced\n", | |
"keep = rng.choice(np.arange(N), size=20, replace=False)\n", | |
"keep = np.sort(keep)\n", | |
"t = t[keep]\n", | |
"y = y[keep]\n", | |
"plt.plot(t, y, 'o');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/evelin/Documents/Ricardo/Projects/pymc/pymc/distributions/distribution.py:625: UserWarning: CustomDist with dist function is still experimental. Expect bugs!\n", | |
" warnings.warn(\n", | |
"Auto-assigning NUTS sampler...\n", | |
"Initializing NUTS using jitter+adapt_diag...\n", | |
"Multiprocess sampling (2 chains in 2 jobs)\n", | |
"NUTS: [mu, std, grw]\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
"<style>\n", | |
" /* Turns off some styling */\n", | |
" progress {\n", | |
" /* gets rid of default border in Firefox and Opera. */\n", | |
" border: none;\n", | |
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n", | |
" background-size: auto;\n", | |
" }\n", | |
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n", | |
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n", | |
" }\n", | |
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n", | |
" background: #F44336;\n", | |
" }\n", | |
"</style>\n" | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
" <div>\n", | |
" <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n", | |
" 100.00% [4000/4000 00:08<00:00 Sampling 2 chains, 0 divergences]\n", | |
" </div>\n", | |
" " | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"Sampling 2 chains for 1_000 tune and 1_000 draw iterations (2_000 + 2_000 draws total) took 9 seconds.\n", | |
"We recommend running at least 4 chains for robust computation of convergence diagnostics\n", | |
"Sampling: [y]\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
"<style>\n", | |
" /* Turns off some styling */\n", | |
" progress {\n", | |
" /* gets rid of default border in Firefox and Opera. */\n", | |
" border: none;\n", | |
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n", | |
" background-size: auto;\n", | |
" }\n", | |
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n", | |
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n", | |
" }\n", | |
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n", | |
" background: #F44336;\n", | |
" }\n", | |
"</style>\n" | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
" <div>\n", | |
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n", | |
" 100.00% [2000/2000 00:00<00:00]\n", | |
" </div>\n", | |
" " | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def grw_dist(mu, std, t, size):\n", | |
" multiplier = pt.concatenate([[1.], pt.diff(t)])\n", | |
" shape = pt.concatenate([size, [t.shape[0]]])\n", | |
" Δobs = pm.Normal.dist(mu*multiplier, std*multiplier, shape=shape)\n", | |
" return pt.cumsum(Δobs, axis=-1)\n", | |
"\n", | |
"with pm.Model() as model:\n", | |
" mu = pm.Normal('mu', 0, 1)\n", | |
" std = pm.HalfNormal('std', 1) \n", | |
" grw = pm.CustomDist('grw', mu, std, t, dist=grw_dist, ndim_supp=1)\n", | |
" pm.Normal(\"y\", mu=grw, sigma=0.1, observed=y)\n", | |
" idata = pm.sample(random_seed=rng)\n", | |
" idata.extend(pm.sample_posterior_predictive(idata, random_seed=rng))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1472x552 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# visual diagnostics\n", | |
"az.plot_posterior(idata, var_names=[\"mu\", \"std\"], ref_val=[true_mu, true_std]);" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# visualise posterior predictive + data\n", | |
"fig, ax = plt.subplots()\n", | |
"az.plot_hdi(t, idata.posterior_predictive.y, hdi_prob=0.95, fill_kwargs={'alpha':0.25}, smooth=False, ax=ax)\n", | |
"ax.plot(t, y, 'ko');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"hide_input": false, | |
"kernelspec": { | |
"display_name": "pymc_mamba", | |
"language": "python", | |
"name": "pymc_mamba" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.10.9" | |
}, | |
"toc": { | |
"base_numbering": 1, | |
"nav_menu": {}, | |
"number_sections": true, | |
"sideBar": true, | |
"skip_h1_title": false, | |
"title_cell": "Table of Contents", | |
"title_sidebar": "Contents", | |
"toc_cell": false, | |
"toc_position": {}, | |
"toc_section_display": true, | |
"toc_window_display": false | |
}, | |
"varInspector": { | |
"cols": { | |
"lenName": 16, | |
"lenType": 16, | |
"lenVar": 40 | |
}, | |
"kernels_config": { | |
"python": { | |
"delete_cmd_postfix": "", | |
"delete_cmd_prefix": "del ", | |
"library": "var_list.py", | |
"varRefreshCmd": "print(var_dic_list())" | |
}, | |
"r": { | |
"delete_cmd_postfix": ") ", | |
"delete_cmd_prefix": "rm(", | |
"library": "var_list.r", | |
"varRefreshCmd": "cat(var_dic_list()) " | |
} | |
}, | |
"types_to_exclude": [ | |
"module", | |
"function", | |
"builtin_function_or_method", | |
"instance", | |
"_Feature" | |
], | |
"window_display": false | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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