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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import tensorflow as tf\n",
"import tensorflow_probability as tfp\n",
"from tensorflow_probability.python.mcmc.transformed_kernel import make_transformed_log_prob\n",
"import arviz as az\n",
"import pymc4 as pm4\n",
"import pymc3 as pm3\n",
"import seaborn as sns\n",
"\n",
"tfd = tfp.distributions\n",
"tfb = tfp.bijectors\n",
"\n",
"dtype = tf.float32\n",
"plt.style.use(\"arviz-darkgrid\")\n",
"\n",
"np.random.seed(42)\n",
"pm3.set_tt_rng(42)\n",
"tf.random.set_seed(42)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Convergence Checks\n",
"\n",
"#### There is no frequency option we can pass in"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Generating data\n",
"mu = 12\n",
"sigma = 2.2\n",
"data = np.random.normal(mu, sigma, size=500)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"@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": [
"def trace_fn(traceable_quantities):\n",
" return {'loss': traceable_quantities.loss, 'moving_loss': traceable_quantities.convergence_criterion_state.average_decrease_in_loss}"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"opt = tf.optimizers.Adam(learning_rate=0.001, beta_1=0.9, beta_2=0.999, epsilon=1e-8)\n",
"\n",
"advi = pm4.fit(\n",
" model(),\n",
" num_steps=40000,\n",
" convergence_criterion=(\n",
" tfp.optimizer.convergence_criteria.LossNotDecreasing(rtol=0.0039999, window_size=1)\n",
" ),\n",
" trace_fn=trace_fn,\n",
" optimizer=opt \n",
")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(advi.losses['loss'])\n",
"plt.xlabel('Number of iterations')\n",
"plt.ylabel('Negative ELBO')\n",
"plt.yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Average decrease in loss')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(advi.losses['moving_loss'])\n",
"plt.xlabel('Number of iterations')\n",
"plt.ylabel('Average decrease in loss')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([<matplotlib.axes._subplots.AxesSubplot object at 0x13fea4550>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x13fd2a4d0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x13fc94c10>],\n",
" dtype=object)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 2484x552 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Posterior is even worse\n",
"az.plot_posterior(advi.approximation.sample(10000))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Playing around with Optimizers of PyMC3"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"mu = np.zeros(2, dtype=np.float32)\n",
"cov = np.array([[1, 0.8], [0.8, 1]], dtype=np.float32)\n",
"data = np.random.multivariate_normal(mu, cov, size=10000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(data[:, 0], data[:, 1], shade=True, shade_lowest=False);"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"@pm4.model\n",
"def model():\n",
" density = yield pm4.MvNormalCholesky(\"density\", loc=mu, scale_tril=cov)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"optimizers = [\n",
" tf.optimizers.Adadelta(learning_rate=1.0, rho=0.95, epsilon=1e-6),\n",
" tf.optimizers.Adagrad(learning_rate=1.0, epsilon=1e-6),\n",
" tf.optimizers.Adam(learning_rate=0.001, beta_1=0.9, beta_2=0.999, epsilon=1e-8),\n",
" tf.optimizers.Adamax(learning_rate=0.002, beta_1=0.9, beta_2=0.999, epsilon=1e-8),\n",
" tf.optimizers.SGD(learning_rate=1e-3),\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:From /usr/local/lib/python3.7/site-packages/tensorflow/python/ops/linalg/linear_operator_lower_triangular.py:158: calling LinearOperator.__init__ (from tensorflow.python.ops.linalg.linear_operator) with graph_parents is deprecated and will be removed in a future version.\n",
"Instructions for updating:\n",
"Do not pass `graph_parents`. They will no longer be used.\n",
"WARNING:tensorflow:From /usr/local/lib/python3.7/site-packages/tensorflow_probability/python/math/minimize.py:77: calling <lambda> (from tensorflow_probability.python.vi.optimization) with loss is deprecated and will be removed after 2020-07-01.\n",
"Instructions for updating:\n",
"The signature for `trace_fn`s passed to `minimize` has changed. Trace functions now take a single `traceable_quantities` argument, which is a `tfp.math.MinimizeTraceableQuantities` namedtuple containing `traceable_quantities.loss`, `traceable_quantities.gradients`, etc. Please update your `trace_fn` definition.\n",
"WARNING:tensorflow:5 out of the last 5 calls to <function fit.<locals>.run_approximation at 0x13feb1200> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n",
"WARNING:tensorflow:6 out of the last 6 calls to <function fit.<locals>.run_approximation at 0x13fac4830> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x2500 with 5 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rows = [n for n in range(0, 5)]\n",
"names = [\"Adadelta\", \"Adagrad\", \"Adam\", \"Adamax\", \"SGD\"]\n",
"f, axes = plt.subplots(5, 1, figsize=(7, 25), squeeze=False, sharex=True)\n",
"\n",
"for row, name, optimizer in zip(rows, names, optimizers):\n",
" advi = pm4.fit(model(), num_steps=40000, optimizer=optimizer)\n",
" pymc4_samples = advi.approximation.sample(10000)\n",
" pymc4_samples = np.squeeze(pymc4_samples.posterior['model/density'].values, axis=0)\n",
" \n",
" # Plot the fit\n",
" ax = sns.kdeplot(\n",
" data[:, 0], \n",
" data[:, 1], \n",
" shade=True, \n",
" shade_lowest=False, \n",
" ax=axes[row, 0]\n",
" )\n",
" ax.set_title(name)\n",
" sns.kdeplot(\n",
" pymc4_samples[:, 0],\n",
" pymc4_samples[:, 1], \n",
" shade=True,\n",
" shade_lowest=False,\n",
" alpha=0.9,\n",
" ax=axes[row, 0],\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:7 out of the last 7 calls to <function fit.<locals>.run_approximation at 0x142b00e60> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n",
"WARNING:tensorflow:8 out of the last 8 calls to <function fit.<locals>.run_approximation at 0x1424549e0> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n",
"WARNING:tensorflow:9 out of the last 9 calls to <function fit.<locals>.run_approximation at 0x1424e55f0> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n",
"WARNING:tensorflow:10 out of the last 10 calls to <function fit.<locals>.run_approximation at 0x1428ed830> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n",
"WARNING:tensorflow:11 out of the last 11 calls to <function fit.<locals>.run_approximation at 0x14251d680> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x2500 with 5 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Default value for tf.optimizers values\n",
"\n",
"rows = [n for n in range(0, 5)]\n",
"names = [\"Adadelta\", \"Adagrad\", \"Adam\", \"Adamax\", \"SGD\"]\n",
"f, axes = plt.subplots(5, 1, figsize=(7, 25), squeeze=False, sharex=True)\n",
"\n",
"for row, name in zip(rows, names):\n",
" advi = pm4.fit(model(), num_steps=40000, optimizer=getattr(tf.optimizers, name)())\n",
" pymc4_samples = advi.approximation.sample(10000)\n",
" pymc4_samples = np.squeeze(pymc4_samples.posterior['model/density'].values, axis=0)\n",
" \n",
" # Plot the fit\n",
" ax = sns.kdeplot(\n",
" data[:, 0], \n",
" data[:, 1], \n",
" shade=True, \n",
" shade_lowest=False, \n",
" ax=axes[row, 0]\n",
" )\n",
" ax.set_title(name)\n",
" sns.kdeplot(\n",
" pymc4_samples[:, 0],\n",
" pymc4_samples[:, 1], \n",
" shade=True,\n",
" shade_lowest=False,\n",
" alpha=0.9,\n",
" ax=axes[row, 0],\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Tests"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:11 out of the last 11 calls to <function fit.<locals>.run_approximation at 0x14267c050> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has experimental_relax_shapes=True option that relaxes argument shapes that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/tutorials/customization/performance#python_or_tensor_args and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n"
]
}
],
"source": [
"# Normal conjugate model with known variance\n",
"unknown_posterior_mean = 68\n",
"known_posterior_var = 16\n",
"\n",
"data_points = 1000\n",
"data = np.random.normal(unknown_posterior_mean, known_posterior_var, size=data_points)\n",
"\n",
"prior_mean = 72\n",
"prior_var = 36\n",
"\n",
"@pm4.model\n",
"def model():\n",
" mu = yield pm4.Normal('mu', prior_mean, prior_var)\n",
" ll = yield pm4.Normal('ll', mu, known_posterior_var, observed=data)\n",
"\n",
"mean_field = pm4.fit(model())\n",
"estimated_mean = (prior_mean/prior_var + (data_points*np.mean(data)/known_posterior_var))/(1/prior_var + data_points/known_posterior_var)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"68.08235290564497\n"
]
}
],
"source": [
"print(estimated_mean)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# Can be done similarly with known mean"
]
}
],
"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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