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@ltiao
Created December 11, 2018 23:52
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import tensorflow as tf\n",
"import tensorflow_probability as tfp\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import networkx as nx"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"plt.style.use('seaborn-colorblind')\n",
"\n",
"plt.rc('text', usetex=True)\n",
"plt.rc('font', family='serif', serif=['Lato'], size=16)\n",
"\n",
"np.set_printoptions(precision=2,\n",
" edgeitems=3,\n",
" linewidth=80,\n",
" suppress=True)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"n = 13"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"tf.enable_eager_execution()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<tf.Tensor: id=6, shape=(78,), dtype=float32, numpy=\n",
"array([ 0.64, -0.99, -0.66, -0.29, 0.55, 0.3 , 0.62, -0.28, -0.18, 1.12,\n",
" 0.03, 0.13, 0.42, 0.08, -0.04, 1.88, -0.76, -0.33, -0.91, -1.26,\n",
" 1.73, 1.37, 1.27, -0.67, -0.6 , 1.06, -0.9 , 1.31, -0.44, -0.24,\n",
" 0.1 , 0.98, 0.85, -1.83, 0.33, -0.56, 0.27, -0.6 , 0.6 , -0.35,\n",
" -2.35, -0.06, -1.33, 0.37, -1.5 , -0.45, -0.79, 0.78, -1.78, -0.35,\n",
" 0.23, -0.7 , -0.2 , -0.39, -0.32, 0.36, 0.16, -0.25, -0.22, -1.15,\n",
" -0.22, -0.6 , 0.64, 0.98, -0.61, -0.15, -1.06, -0.69, -2.03, -0.62,\n",
" -0.89, -1.09, -1.36, 1.49, 1.51, -0.03, -0.28, -0.97], dtype=float32)>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"logits = tf.random_normal(shape=(n * (n - 1) // 2,))\n",
"logits"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<tf.distributions.Independent 'IndependentBernoulli/' batch_shape=() event_shape=(78,) dtype=int32>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dist = tfp.distributions.Independent(\n",
" tfp.distributions.Bernoulli(logits=logits),\n",
" reinterpreted_batch_ndims=1\n",
")\n",
"dist"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def fill_symmetric(a):\n",
"\n",
" lower = tfp.distributions.fill_triangular(a)\n",
"\n",
" lower = tf.concat([tf.zeros(shape=(1, n-1), dtype=tf.int32), lower], axis=0) \n",
" lower = tf.concat([lower, tf.zeros(shape=(n, 1), dtype=tf.int32)], axis=1)\n",
"\n",
" upper = tf.transpose(lower)\n",
"\n",
" return lower + upper"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<tf.Tensor: id=76, shape=(13, 13), dtype=int32, numpy=\n",
"array([[0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1],\n",
" [1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1],\n",
" [1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1],\n",
" [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1],\n",
" [0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1],\n",
" [0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1],\n",
" [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1],\n",
" [0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0],\n",
" [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0],\n",
" [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0],\n",
" [0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0],\n",
" [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0],\n",
" [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]], dtype=int32)>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = fill_symmetric(dist.sample())\n",
"A"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"G = nx.from_numpy_array(A.numpy())"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0., 1., 1., 0., 0., 0., 0., 0., 0., 1., 0., 1., 1.],\n",
" [1., 0., 1., 0., 1., 0., 1., 0., 0., 1., 1., 1., 1.],\n",
" [1., 1., 0., 1., 1., 1., 1., 0., 1., 1., 0., 1., 1.],\n",
" [0., 0., 1., 0., 0., 1., 1., 0., 1., 1., 1., 1., 1.],\n",
" [0., 1., 1., 0., 0., 0., 1., 1., 0., 1., 1., 1., 1.],\n",
" [0., 0., 1., 1., 0., 0., 1., 0., 1., 0., 0., 0., 1.],\n",
" [0., 1., 1., 1., 1., 1., 0., 1., 1., 1., 0., 0., 1.],\n",
" [0., 0., 0., 0., 1., 0., 1., 0., 0., 1., 0., 0., 0.],\n",
" [0., 0., 1., 1., 0., 1., 1., 0., 0., 0., 1., 0., 0.],\n",
" [1., 1., 1., 1., 1., 0., 1., 1., 0., 0., 0., 1., 0.],\n",
" [0., 1., 0., 1., 1., 0., 0., 0., 1., 0., 0., 1., 0.],\n",
" [1., 1., 1., 1., 1., 0., 0., 0., 0., 1., 1., 0., 0.],\n",
" [1., 1., 1., 1., 1., 1., 1., 0., 0., 0., 0., 0., 0.]])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nx.to_numpy_array(G)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 8))\n",
"\n",
"nx.draw(G, with_labels=True, ax=ax)\n",
"\n",
"plt.show()"
]
}
],
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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