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Experiments with Deterministics Callbacks
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"import itertools\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm3\n",
"import pymc4 as pm4\n",
"import seaborn as sns\n",
"import tensorflow as tf\n",
"import tensorflow_probability as tfp"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"RANDOM_SEED = 42\n",
"np.random.seed(RANDOM_SEED)\n",
"pm3.set_tt_rng(RANDOM_SEED)\n",
"tf.random.set_seed(RANDOM_SEED)\n",
"\n",
"az.style.use('arviz-darkgrid')\n",
"dtype = tf.float32\n",
"tfb = tfp.bijectors\n",
"tfd = tfp.distributions"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"MU = 12\n",
"SIGMA = 2.2\n",
"data = np.random.normal(MU, SIGMA, 200)\n",
"\n",
"@pm4.model\n",
"def model():\n",
" mu = yield pm4.Normal('mu', 0, 10)\n",
" sigma = yield pm4.Exponential('sigma', 1)\n",
" ll = yield pm4.Normal('ll', mu, sigma, observed=data)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"state, deterministic_names = pm4.inference.utils.initialize_sampling_state(model())\n",
"unobserved_keys = state.all_unobserved_values.keys()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"@tf.function(autograph=False)\n",
"def deterministics_callback(*values, **kwargs):\n",
" if kwargs and values:\n",
" raise TypeError(\"Either list state should be passed or a dict one\")\n",
" elif values:\n",
" kwargs = dict(zip(unobserved_keys, values))\n",
" st = pm4.flow.SamplingState.from_values(kwargs, observed_values=state.observed_values)\n",
" _, st = pm4.flow.evaluate_model_transformed(model(), state=st)\n",
" for transformed_name in st.transformed_values:\n",
" untransformed_name = pm4.utils.NameParts.from_name(transformed_name).full_untransformed_name\n",
" st.deterministics[untransformed_name] = st.untransformed_values.pop(untransformed_name)\n",
" return st.deterministics.values()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Tracking all transformed + untransformed + deterministics_values - \n",
"def trace_fn(traceable_quantities):\n",
" return dict(\n",
" loss=traceable_quantities.loss,\n",
" **dict(zip(unobserved_keys, traceable_quantities.parameters[::2])),\n",
" **dict(\n",
" zip(\n",
" deterministic_names,\n",
" deterministics_callback(*traceable_quantities.parameters[::2]),\n",
" )\n",
" )\n",
" ) "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"mean_field = pm4.fit(model(), num_steps=30000, trace_fn=trace_fn)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
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\n",
"text/plain": [
"<Figure size 1300x800 with 4 Axes>"
]
},
"metadata": {
"image/png": {
"height": 727,
"width": 1073
}
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 2, figsize=(13, 8))\n",
"fig.suptitle('Params', fontsize=20)\n",
"for param, ax in zip(mean_field.losses.keys(), axes.ravel()):\n",
" ax.plot(mean_field.losses[param])\n",
" ax.set_title(param)"
]
}
],
"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": "3.7.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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