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@twiecki
Last active February 22, 2022 01:28
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Bayesian Neural Network in PyMC3
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bayesian Neural Network in PyMC3\n",
"(c) 2016 by Thomas Wiecki"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import pymc3 as pm\n",
"import theano.tensor as T\n",
"import theano\n",
"import sklearn\n",
"import numpy as np\n",
"from sklearn import datasets\n",
"from sklearn.preprocessing import scale\n",
"from sklearn.cross_validation import train_test_split"
]
},
{
"cell_type": "code",
"execution_count": 141,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X, Y = datasets.make_blobs(n_samples=200, n_features=2, centers=2, cluster_std=3.0, \n",
" center_box=(-5.0, 5.0), shuffle=True, random_state=None)\n",
"\n",
"X = scale(X)\n",
"X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=.5)"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fcb3bda86a0>"
]
},
"execution_count": 142,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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TnLKzmaDb2tXGsQDu1F4q6OVnyPceXsgNXM6n6WeKKS5p/xnvvOK9gfZgKmXkfstPx/vu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\n/wEOXjuW+0xg3AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb3bdce208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X[Y==0, 0], X[Y==0, 1])\n",
"plt.scatter(X[Y==1, 0], X[Y==1, 1], color='r')"
]
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 50000 of 50000 complete in 17.0 sec"
]
},
{
"data": {
"image/png": 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YqYGYjtcw4W6Dili0r7Lugg/Vmkc2kETh1gwDJ0qod1VUDhLRM0mSera2dsx+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\nO9q3VVQ+rscJJEO0uL00u+0J6r0tbs6MDeBxutnUujgRmJZlouVd47DfT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Uz+4HtEzp6l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\nraWIHjeYTQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb485198d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Turn inputs and outputs into shared variables so that we can change them later\n",
"ann_input = theano.shared(X_train)\n",
"ann_output = theano.shared(Y_train)\n",
"\n",
"with pm.Model() as model:\n",
" # Below we require an ordering of the summed weights, thus initialize in this order\n",
" init_1 = np.random.randn(X.shape[1], 3)\n",
" init_1 = init_1[:, np.argsort(init_1.sum(axis=0))]\n",
" init_2 = np.random.randn(3)\n",
" init_2 = init_2[np.argsort(init_2)]\n",
" \n",
" # Weights from input to hidden layer\n",
" weights_in_1 = pm.Normal('w_in_1', 0, sd=1, shape=(X.shape[1], 3), \n",
" testval=init_1)\n",
" # Weights from hidden layer to output\n",
" weights_1_out = pm.Normal('w_1_out', 0, sd=1, shape=(3,), \n",
" testval=init_2)\n",
"\n",
" # As the hidden neurons are interchangeable this induces a symmetry in the posterior.\n",
" # This is my first attempt at breaking that symmetry. I'm not sure if it's actually\n",
" # correct or if there is a better way to do it. It seems to work for this toy model.\n",
" pm.Potential(\n",
" 'order_means_potential',\n",
" T.switch(T.ge(T.sum(weights_in_1[:, 0]), T.sum(weights_in_1[:, 1])), -np.inf, 0)\n",
" + T.switch(T.ge(T.sum(weights_in_1[:, 1]), T.sum(weights_in_1[:, 2])), -np.inf, 0))\n",
"\n",
" # Not sure if this is required...\n",
" pm.Potential(\n",
" 'order_means_potential2',\n",
" T.switch(T.ge(weights_1_out[0], weights_1_out[1]), -np.inf, 0)\n",
" + T.switch(T.ge(weights_1_out[1], weights_1_out[2]), -np.inf, 0))\n",
" \n",
" # Do forward pass\n",
" a1 = T.dot(ann_input, weights_in_1)\n",
" act_1 = T.nnet.sigmoid(a1)\n",
" act_out = T.dot(act_1, weights_1_out)\n",
" \n",
" out = pm.Bernoulli('out', \n",
" T.nnet.sigmoid(act_out),\n",
" observed=ann_output)\n",
" \n",
" step = pm.Metropolis()\n",
" trace = pm.sample(50000, step=step)\n",
"\n",
"pm.traceplot(trace);"
]
},
{
"cell_type": "code",
"execution_count": 161,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Replace shared variables with testing set\n",
"# (note that using this trick we could be streaming ADVI for big data)\n",
"ann_input.set_value(X_test)\n",
"ann_output.set_value(Y_test)\n",
"\n",
"# Creater posterior predictive samples\n",
"ppc = pm.sample_ppc(trace, model=model, samples=500)\n",
"pred = ppc['out'].mean(axis=0) > 0.5"
]
},
{
"cell_type": "code",
"execution_count": 162,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fcb28381ba8>"
]
},
"execution_count": 162,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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gZGAH8AzweXd/PduoojGzTxJcb/D7wIfdfV22EUVjZscDVxEUJNe6+3czDiky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\nySixi4iUzP8HGV0rZcBcilYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb2834fdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X_test[pred==0, 0], X_test[pred==0, 1])\n",
"plt.scatter(X_test[pred==1, 0], X_test[pred==1, 1], color='r')\n",
"plt.title('Predicted labels in testing set')"
]
},
{
"cell_type": "code",
"execution_count": 163,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy = 76.0%\n"
]
}
],
"source": [
"print('Accuracy = {}%'.format((Y_test == pred).mean() * 100))"
]
},
{
"cell_type": "code",
"execution_count": 164,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcb28483e10>"
]
},
"execution_count": 164,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YgXK5PKOXLabns4TMKGYLNxC4ns8HI/McPTGJvjh3RQ+h/q4Yd9zQx+039NHV3uK3NjXg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\nBAQhhBAA/P/qo05wS7C8gQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb3b9173c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"sns.regplot(ppc['out'].mean(axis=0), Y_test, logistic=True)"
]
},
{
"cell_type": "code",
"execution_count": 200,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"grid = np.mgrid[-3:3:100j,-3:3:100j]\n",
"grid_2d = grid.reshape(2, -1).T\n",
"dummy_out = np.ones(grid.shape[1], dtype=np.int8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lets look at what the classifier has learned"
]
},
{
"cell_type": "code",
"execution_count": 208,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ERROR! Session/line number was not unique in database. History logging moved to new session 2156\n"
]
}
],
"source": [
"ann_input.set_value(grid_2d)\n",
"ann_output.set_value(dummy_out)\n",
"# Creater posterior predictive samples\n",
"ppc = pm.sample_ppc(trace, model=model, samples=500)\n",
"pred = ppc['out'].mean(axis=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Probability of label == 1"
]
},
{
"cell_type": "code",
"execution_count": 213,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcb25549588>"
]
},
"execution_count": 213,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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OxoncN7v7EuFZvjTqn4fzHu53/XGqvdH8xFWJCdkhZv0Ja048F7aKGB0hZZ5l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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb11c002e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(pred.reshape(100, 100).T)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Uncertainty in predicted value"
]
},
{
"cell_type": "code",
"execution_count": 214,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcb136efbe0>"
]
},
"execution_count": 214,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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DwowuvNYsyQvPGdscu1+0fGbjZTrXZLvPQJgwNjz8iO2r27PsuS9Z1gKz0cGz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\nsfAP4/ym7ItrJWW77Jd4KS9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FZAWdMhW3bRrI9Zw5FW4oLSYCDvJxqp2mxVV2af/0+zOQ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PYFCJJ9CeQlfRtkYsvTez8C8aPeC1kRTQN4HmSymtR7w+0zAH4kw/cP6Bh5Ss/vmxCf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\nWGLb0JLJObHEEktsG9r/B4wepmbXf2Z8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb2005e438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(ppc['out'].std(axis=0).reshape(100, 100).T)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is really neat -- because we're in a Bayesian framework we get uncertainty in our predictions. You can see that very close to the decision boundary, our uncertainty as to which label to predict is highest."
]
}
],
"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": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@springcoil
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AWESOME :)

@spsaaibi
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really nice!

@jonsedar
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jonsedar commented Mar 4, 2016

Very nice! I have to brush up on my ANNs... Also seems something excellently subversive about using theano via PyMC3 to 'beat' theano at it's own game

@usptact
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usptact commented May 9, 2016

Coming from requentist camp, it is great to see the estimated parameter uncertainties 👍

@usptact
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usptact commented May 9, 2016

@twiecki I guess "import matplotlib.pyplot as plt" is missing in the import section.

@Riashat
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Riashat commented Jul 17, 2016

@twiecki Do you have any examples of using BNNs in pymc3 on regression tasks? I want to compare the uncertainty estimates of BNN with that of a GP

@mindey
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mindey commented Sep 24, 2016

Super! :)

@dongqing7
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Fantastic!

@naripok
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naripok commented Dec 15, 2017

You rock!

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