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August 12, 2020 03:19
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"execution": { | |
"iopub.status.idle": "2020-08-12T03:18:02.583136Z", | |
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"shell.execute_reply.started": "2020-08-12T03:17:52.954002Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\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", | |
"\n", | |
"tfb = tfp.bijectors\n", | |
"tfd = tfp.distributions\n", | |
"dtype = tf.float32" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2020-08-12T03:18:02.586585Z", | |
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"shell.execute_reply": "2020-08-12T03:18:02.594731Z", | |
"shell.execute_reply.started": "2020-08-12T03:18:02.586514Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"mu = 12\n", | |
"sigma = 2.2\n", | |
"data = np.random.normal(mu, sigma, size=200)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2020-08-12T03:18:02.606526Z", | |
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"shell.execute_reply.started": "2020-08-12T03:18:02.606457Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"model = tfd.JointDistributionSequential([\n", | |
" tfd.Exponential(0.1, name='e'), # sigma\n", | |
" tfd.Normal(loc=0, scale=10, name='n'), # mu\n", | |
" lambda n, e: tfd.Normal(loc=n, scale=e)\n", | |
"])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2020-08-12T03:18:02.697303Z", | |
"iopub.status.busy": "2020-08-12T03:18:02.696615Z", | |
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"shell.execute_reply.started": "2020-08-12T03:18:02.697232Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"joint_log_prob = lambda *x: model.log_prob(x + (data,))\n", | |
"\n", | |
"unconstraining_bijectors = [\n", | |
" tfb.Exp(),\n", | |
" tfb.Identity()\n", | |
"]\n", | |
"\n", | |
"target_log_prob = make_transformed_log_prob(\n", | |
" joint_log_prob,\n", | |
" unconstraining_bijectors,\n", | |
" direction='forward',\n", | |
" enable_bijector_caching=False\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2020-08-12T03:18:02.716846Z", | |
"iopub.status.busy": "2020-08-12T03:18:02.716015Z", | |
"iopub.status.idle": "2020-08-12T03:18:02.763467Z", | |
"shell.execute_reply": "2020-08-12T03:18:02.762328Z", | |
"shell.execute_reply.started": "2020-08-12T03:18:02.716771Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"parameters = model.sample(1)\n", | |
"parameters.pop()\n", | |
"dists = []\n", | |
"for i, parameter in enumerate(parameters):\n", | |
" shape = parameter[0].shape\n", | |
" loc = tf.Variable(\n", | |
" tf.random.normal(shape, dtype=dtype),\n", | |
" name='meanfield_%s_loc' % i,\n", | |
" dtype=dtype)\n", | |
" scale = tfp.util.TransformedVariable(\n", | |
" tf.fill(shape, value=tf.constant(0.02, dtype)),\n", | |
" tfb.Softplus(),\n", | |
" name='meanfield_%s_scale' % i,\n", | |
" )\n", | |
"\n", | |
" approx_parameter = tfd.Independent(tfd.Normal(loc=loc, scale=scale))\n", | |
" dists.append(approx_parameter)\n", | |
"\n", | |
"meanfield_advi = tfd.JointDistributionSequential(dists)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2020-08-12T03:18:02.766732Z", | |
"iopub.status.busy": "2020-08-12T03:18:02.765313Z", | |
"iopub.status.idle": "2020-08-12T03:18:14.500642Z", | |
"shell.execute_reply": "2020-08-12T03:18:14.499464Z", | |
"shell.execute_reply.started": "2020-08-12T03:18:02.766656Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"|>>>>>>>>>>>>>>>>>>>>|" | |
] | |
} | |
], | |
"source": [ | |
"num_steps = 10_000\n", | |
"num_cols = 20\n", | |
"it_break = num_steps // num_cols\n", | |
"\n", | |
"def trace_fn(traceable_quantities):\n", | |
" tf.cond(\n", | |
" tf.math.mod(traceable_quantities.step + 1, it_break) == 0,\n", | |
" lambda: tf.print(\n", | |
" tf.strings.reduce_join(\n", | |
" [\n", | |
" \"\\r|\",\n", | |
" tf.strings.reduce_join(\n", | |
" tf.repeat(\">\", (traceable_quantities.step + 1) // it_break, axis=0)\n", | |
" ),\n", | |
" tf.strings.reduce_join(\n", | |
" tf.repeat(\n", | |
" \".\",\n", | |
" num_cols - (traceable_quantities.step + 1) // it_break,\n", | |
" axis=0,\n", | |
" )\n", | |
" ),\n", | |
" \"|\",\n", | |
" ]\n", | |
" ),\n", | |
" end=\"\",\n", | |
" ),\n", | |
" lambda: tf.no_op(),\n", | |
" )\n", | |
" return traceable_quantities.loss\n", | |
"\n", | |
"opt = tf.optimizers.Adam(learning_rate=.5)\n", | |
"\n", | |
"def run_approximation():\n", | |
" loss_ = tfp.vi.fit_surrogate_posterior(\n", | |
" target_log_prob,\n", | |
" surrogate_posterior=meanfield_advi,\n", | |
" optimizer=opt,\n", | |
" num_steps=num_steps,\n", | |
" trace_fn=trace_fn\n", | |
" )\n", | |
" return loss_\n", | |
"\n", | |
"loss_ = run_approximation()" | |
] | |
} | |
], | |
"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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