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-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "=================================\n",
- "Plot graphs' barycenter using FGW\n",
- "=================================\n",
- "\n",
- "This example illustrates the computation barycenter of labeled graphs using FGW\n",
- "\n",
- "Requires networkx >=2\n",
- "\n",
- ".. [18] Vayer Titouan, Chapel Laetitia, Flamary R{'e}mi, Tavenard Romain\n",
- " and Courty Nicolas\n",
- " \"Optimal Transport for structured data with application on graphs\"\n",
- " International Conference on Machine Learning (ICML). 2019.\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# Author: Titouan Vayer <titouan.vayer@irisa.fr>\n",
- "#\n",
- "# License: MIT License"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "import networkx as nx\n",
- "import math\n",
- "from scipy.sparse.csgraph import shortest_path\n",
- "import matplotlib.colors as mcol\n",
- "from matplotlib import cm\n",
- "from ot.gromov import fgw_barycenters"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "def find_thresh(C, inf=0.5, sup=3, step=10):\n",
- " \"\"\" Trick to find the adequate thresholds from where value of the C matrix are considered close enough to say that nodes are connected\n",
- " Tthe threshold is found by a linesearch between values \"inf\" and \"sup\" with \"step\" thresholds tested.\n",
- " The optimal threshold is the one which minimizes the reconstruction error between the shortest_path matrix coming from the thresholded adjency matrix\n",
- " and the original matrix.\n",
- " Parameters\n",
- " ----------\n",
- " C : ndarray, shape (n_nodes,n_nodes)\n",
- " The structure matrix to threshold\n",
- " inf : float\n",
- " The beginning of the linesearch\n",
- " sup : float\n",
- " The end of the linesearch\n",
- " step : integer\n",
- " Number of thresholds tested\n",
- " \"\"\"\n",
- " dist = []\n",
- " search = np.linspace(inf, sup, step)\n",
- " for thresh in search:\n",
- " Cprime = sp_to_adjency(C, 0, thresh)\n",
- " SC = shortest_path(Cprime, method='D')\n",
- " SC[SC == float('inf')] = 100\n",
- " dist.append(np.linalg.norm(SC - C))\n",
- " return search[np.argmin(dist)], dist\n",
- "\n",
- "\n",
- "def sp_to_adjency(C, threshinf=0.2, threshsup=1.8):\n",
- " \"\"\" Thresholds the structure matrix in order to compute an adjency matrix.\n",
- " All values between threshinf and threshsup are considered representing connected nodes and set to 1. Else are set to 0\n",
- " Parameters\n",
- " ----------\n",
- " C : ndarray, shape (n_nodes,n_nodes)\n",
- " The structure matrix to threshold\n",
- " threshinf : float\n",
- " The minimum value of distance from which the new value is set to 1\n",
- " threshsup : float\n",
- " The maximum value of distance from which the new value is set to 1\n",
- " Returns\n",
- " -------\n",
- " C : ndarray, shape (n_nodes,n_nodes)\n",
- " The threshold matrix. Each element is in {0,1}\n",
- " \"\"\"\n",
- " H = np.zeros_like(C)\n",
- " np.fill_diagonal(H, np.diagonal(C))\n",
- " C = C - H\n",
- " C = np.minimum(np.maximum(C, threshinf), threshsup)\n",
- " C[C == threshsup] = 0\n",
- " C[C != 0] = 1\n",
- "\n",
- " return C\n",
- "\n",
- "\n",
- "def build_noisy_circular_graph(N=20, mu=0, sigma=0.3, with_noise=False, structure_noise=False, p=None):\n",
- " \"\"\" Create a noisy circular graph\n",
- " \"\"\"\n",
- " g = nx.Graph()\n",
- " g.add_nodes_from(list(range(N)))\n",
- " for i in range(N):\n",
- " noise = float(np.random.normal(mu, sigma, 1))\n",
- " if with_noise:\n",
- " g.add_node(i, attr_name=math.sin((2 * i * math.pi / N)) + noise)\n",
- " else:\n",
- " g.add_node(i, attr_name=math.sin(2 * i * math.pi / N))\n",
- " g.add_edge(i, i + 1)\n",
- " if structure_noise:\n",
- " randomint = np.random.randint(0, p)\n",
- " if randomint == 0:\n",
- " if i <= N - 3:\n",
- " g.add_edge(i, i + 2)\n",
- " if i == N - 2:\n",
- " g.add_edge(i, 0)\n",
- " if i == N - 1:\n",
- " g.add_edge(i, 1)\n",
- " g.add_edge(N, 0)\n",
- " noise = float(np.random.normal(mu, sigma, 1))\n",
- " if with_noise:\n",
- " g.add_node(N, attr_name=math.sin((2 * N * math.pi / N)) + noise)\n",
- " else:\n",
- " g.add_node(N, attr_name=math.sin(2 * N * math.pi / N))\n",
- " return g\n",
- "\n",
- "\n",
- "def graph_colors(nx_graph, vmin=0, vmax=7):\n",
- " cnorm = mcol.Normalize(vmin=vmin, vmax=vmax)\n",
- " cpick = cm.ScalarMappable(norm=cnorm, cmap='viridis')\n",
- " cpick.set_array([])\n",
- " val_map = {}\n",
- " for k, v in nx.get_node_attributes(nx_graph, 'attr_name').items():\n",
- " val_map[k] = cpick.to_rgba(v)\n",
- " colors = []\n",
- " for node in nx_graph.nodes():\n",
- " colors.append(val_map[node])\n",
- " return colors"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Generate data\n",
- "-------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We build a dataset of noisy circular graphs.\n",
- "Noise is added on the structures by random connections and on the features by gaussian noise.\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "np.random.seed(30)\n",
- "X0 = []\n",
- "for k in range(9):\n",
- " X0.append(build_noisy_circular_graph(np.random.randint(15, 25), with_noise=True, structure_noise=True, p=3))"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Plot data\n",
- "---------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 576x720 with 9 Axes>"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "plt.figure(figsize=(8, 10))\n",
- "for i in range(len(X0)):\n",
- " plt.subplot(3, 3, i + 1)\n",
- " g = X0[i]\n",
- " pos = nx.kamada_kawai_layout(g)\n",
- " nx.draw(g, pos=pos, node_color=graph_colors(g, vmin=-1, vmax=1), with_labels=False, node_size=100)\n",
- "plt.suptitle('Dataset of noisy graphs. Color indicates the label', fontsize=20)\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Barycenter computation\n",
- "----------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Features distances are the euclidean distances\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "Cs = [shortest_path(nx.adjacency_matrix(x)) for x in X0]\n",
- "ps = [np.ones(len(x.nodes())) / len(x.nodes()) for x in X0]\n",
- "Ys = [np.array([v for (k, v) in nx.get_node_attributes(x, 'attr_name').items()]).reshape(-1, 1) for x in X0]\n",
- "lambdas = np.array([np.ones(len(Ys)) / len(Ys)]).ravel()\n",
- "sizebary = 15 # we choose a barycenter with 15 nodes\n",
- "\n",
- "A, C, log = fgw_barycenters(sizebary, Ys, Cs, ps, lambdas, alpha=0.95, log=True)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Plot Barycenter\n",
- "-------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "bary = nx.from_numpy_matrix(sp_to_adjency(C, threshinf=0, threshsup=find_thresh(C, sup=100, step=100)[0]))\n",
- "for i, v in enumerate(A.ravel()):\n",
- " bary.add_node(i, attr_name=v)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "pos = nx.kamada_kawai_layout(bary)\n",
- "nx.draw(bary, pos=pos, node_color=graph_colors(bary, vmin=-1, vmax=1), with_labels=False)\n",
- "plt.suptitle('Barycenter', fontsize=20)\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": "3.6.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}