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authorRémi Flamary <remi.flamary@gmail.com>2019-06-25 14:27:19 +0200
committerRémi Flamary <remi.flamary@gmail.com>2019-06-25 14:27:19 +0200
commit830d4ebd2e2c85b4f3503f358bb31a07918a27c5 (patch)
tree7d91d64761882ba3d4fb4f08aaf37a32907fec10
parentc4b0aeb20d920ba366a656a9aee7afe78871c9c7 (diff)
update fgw example + add notebook
-rw-r--r--examples/plot_barycenter_fgw.py2
-rw-r--r--notebooks/plot_OT_2D_samples.ipynb91
-rw-r--r--notebooks/plot_barycenter_fgw.ipynb312
-rw-r--r--notebooks/plot_fgw.ipynb359
4 files changed, 756 insertions, 8 deletions
diff --git a/examples/plot_barycenter_fgw.py b/examples/plot_barycenter_fgw.py
index e4be447..77b0370 100644
--- a/examples/plot_barycenter_fgw.py
+++ b/examples/plot_barycenter_fgw.py
@@ -166,7 +166,7 @@ Ys = [np.array([v for (k, v) in nx.get_node_attributes(x, 'attr_name').items()])
lambdas = np.array([np.ones(len(Ys)) / len(Ys)]).ravel()
sizebary = 15 # we choose a barycenter with 15 nodes
-A, C, log = fgw_barycenters(sizebary, Ys, Cs, ps, lambdas, alpha=0.95)
+A, C, log = fgw_barycenters(sizebary, Ys, Cs, ps, lambdas, alpha=0.95, log=True)
##############################################################################
# Plot Barycenter
diff --git a/notebooks/plot_OT_2D_samples.ipynb b/notebooks/plot_OT_2D_samples.ipynb
index 96e84a5..cd1b541 100644
--- a/notebooks/plot_OT_2D_samples.ipynb
+++ b/notebooks/plot_OT_2D_samples.ipynb
@@ -34,6 +34,7 @@
"outputs": [],
"source": [
"# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Kilian Fatras <kilian.fatras@irisa.fr>\n",
"#\n",
"# License: MIT License\n",
"\n",
@@ -108,7 +109,7 @@
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -118,7 +119,7 @@
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -169,7 +170,7 @@
},
{
"data": {
- "image/png": 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\n",
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -179,7 +180,7 @@
},
{
"data": {
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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -223,7 +224,7 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -233,7 +234,7 @@
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -263,6 +264,82 @@
"\n",
"pl.show()"
]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Emprirical Sinkhorn\n",
+ "----------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Warning: numerical errors at iteration 0\n"
+ ]
+ },
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/home/rflamary/PYTHON/POT/ot/bregman.py:374: RuntimeWarning: divide by zero encountered in true_divide\n",
+ " v = np.divide(b, KtransposeU)\n",
+ "/home/rflamary/PYTHON/POT/ot/plot.py:83: RuntimeWarning: invalid value encountered in double_scalars\n",
+ " if G[i, j] / mx > thr:\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<Figure size 432x288 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 432x288 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% sinkhorn\n",
+ "\n",
+ "# reg term\n",
+ "lambd = 1e-3\n",
+ "\n",
+ "Ges = ot.bregman.empirical_sinkhorn(xs, xt, lambd)\n",
+ "\n",
+ "pl.figure(7)\n",
+ "pl.imshow(Ges, interpolation='nearest')\n",
+ "pl.title('OT matrix empirical sinkhorn')\n",
+ "\n",
+ "pl.figure(8)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, Ges, color=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('OT matrix Sinkhorn from samples')\n",
+ "\n",
+ "pl.show()"
+ ]
}
],
"metadata": {
@@ -281,7 +358,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.5"
+ "version": "3.6.8"
}
},
"nbformat": 4,
diff --git a/notebooks/plot_barycenter_fgw.ipynb b/notebooks/plot_barycenter_fgw.ipynb
new file mode 100644
index 0000000..8da80a6
--- /dev/null
+++ b/notebooks/plot_barycenter_fgw.ipynb
@@ -0,0 +1,312 @@
+{
+ "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\n",
+ "\n",
+ "#%% load libraries\n",
+ "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\n",
+ "#%% Graph functions\n",
+ "\n",
+ "\n",
+ "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": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% circular dataset\n",
+ "# 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",
+ "\n",
+ "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": 4,
+ "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": [
+ "#%% Plot graphs\n",
+ "\n",
+ "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": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% We compute the barycenter using FGW. Structure matrices are computed using the shortest_path distance in the graph\n",
+ "# Features distances are the euclidean distances\n",
+ "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": 6,
+ "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": [
+ "#%% Create the barycenter\n",
+ "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)\n",
+ "\n",
+ "#%%\n",
+ "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": "3.6.8"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_fgw.ipynb b/notebooks/plot_fgw.ipynb
new file mode 100644
index 0000000..b41f280
--- /dev/null
+++ b/notebooks/plot_fgw.ipynb
@@ -0,0 +1,359 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# Plot Fused-gromov-Wasserstein\n",
+ "\n",
+ "\n",
+ "This example illustrates the computation of FGW for 1D measures[18].\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\n",
+ "\n",
+ "import matplotlib.pyplot as pl\n",
+ "import numpy as np\n",
+ "import ot\n",
+ "from ot.gromov import gromov_wasserstein, fused_gromov_wasserstein"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "# We create two 1D random measures\n",
+ "n = 20 # number of points in the first distribution\n",
+ "n2 = 30 # number of points in the second distribution\n",
+ "sig = 1 # std of first distribution\n",
+ "sig2 = 0.1 # std of second distribution\n",
+ "\n",
+ "np.random.seed(0)\n",
+ "\n",
+ "phi = np.arange(n)[:, None]\n",
+ "xs = phi + sig * np.random.randn(n, 1)\n",
+ "ys = np.vstack((np.ones((n // 2, 1)), 0 * np.ones((n // 2, 1)))) + sig2 * np.random.randn(n, 1)\n",
+ "\n",
+ "phi2 = np.arange(n2)[:, None]\n",
+ "xt = phi2 + sig * np.random.randn(n2, 1)\n",
+ "yt = np.vstack((np.ones((n2 // 2, 1)), 0 * np.ones((n2 // 2, 1)))) + sig2 * np.random.randn(n2, 1)\n",
+ "yt = yt[::-1, :]\n",
+ "\n",
+ "p = ot.unif(n)\n",
+ "q = ot.unif(n2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 504x504 with 2 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot the distributions\n",
+ "\n",
+ "pl.close(10)\n",
+ "pl.figure(10, (7, 7))\n",
+ "\n",
+ "pl.subplot(2, 1, 1)\n",
+ "\n",
+ "pl.scatter(ys, xs, c=phi, s=70)\n",
+ "pl.ylabel('Feature value a', fontsize=20)\n",
+ "pl.title('$\\mu=\\sum_i \\delta_{x_i,a_i}$', fontsize=25, usetex=True, y=1)\n",
+ "pl.xticks(())\n",
+ "pl.yticks(())\n",
+ "pl.subplot(2, 1, 2)\n",
+ "pl.scatter(yt, xt, c=phi2, s=70)\n",
+ "pl.xlabel('coordinates x/y', fontsize=25)\n",
+ "pl.ylabel('Feature value b', fontsize=20)\n",
+ "pl.title('$\\\\nu=\\sum_j \\delta_{y_j,b_j}$', fontsize=25, usetex=True, y=1)\n",
+ "pl.yticks(())\n",
+ "pl.tight_layout()\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Create structure matrices and across-feature distance matrix\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% Structure matrices and across-features distance matrix\n",
+ "C1 = ot.dist(xs)\n",
+ "C2 = ot.dist(xt)\n",
+ "M = ot.dist(ys, yt)\n",
+ "w1 = ot.unif(C1.shape[0])\n",
+ "w2 = ot.unif(C2.shape[0])\n",
+ "Got = ot.emd([], [], M)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot matrices\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 360x360 with 3 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%%\n",
+ "cmap = 'Reds'\n",
+ "pl.close(10)\n",
+ "pl.figure(10, (5, 5))\n",
+ "fs = 15\n",
+ "l_x = [0, 5, 10, 15]\n",
+ "l_y = [0, 5, 10, 15, 20, 25]\n",
+ "gs = pl.GridSpec(5, 5)\n",
+ "\n",
+ "ax1 = pl.subplot(gs[3:, :2])\n",
+ "\n",
+ "pl.imshow(C1, cmap=cmap, interpolation='nearest')\n",
+ "pl.title(\"$C_1$\", fontsize=fs)\n",
+ "pl.xlabel(\"$k$\", fontsize=fs)\n",
+ "pl.ylabel(\"$i$\", fontsize=fs)\n",
+ "pl.xticks(l_x)\n",
+ "pl.yticks(l_x)\n",
+ "\n",
+ "ax2 = pl.subplot(gs[:3, 2:])\n",
+ "\n",
+ "pl.imshow(C2, cmap=cmap, interpolation='nearest')\n",
+ "pl.title(\"$C_2$\", fontsize=fs)\n",
+ "pl.ylabel(\"$l$\", fontsize=fs)\n",
+ "#pl.ylabel(\"$l$\",fontsize=fs)\n",
+ "pl.xticks(())\n",
+ "pl.yticks(l_y)\n",
+ "ax2.set_aspect('auto')\n",
+ "\n",
+ "ax3 = pl.subplot(gs[3:, 2:], sharex=ax2, sharey=ax1)\n",
+ "pl.imshow(M, cmap=cmap, interpolation='nearest')\n",
+ "pl.yticks(l_x)\n",
+ "pl.xticks(l_y)\n",
+ "pl.ylabel(\"$i$\", fontsize=fs)\n",
+ "pl.title(\"$M_{AB}$\", fontsize=fs)\n",
+ "pl.xlabel(\"$j$\", fontsize=fs)\n",
+ "pl.tight_layout()\n",
+ "ax3.set_aspect('auto')\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute FGW/GW\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Relative loss|Absolute loss\n",
+ "------------------------------------------------\n",
+ " 0|4.734462e+01|0.000000e+00|0.000000e+00\n",
+ " 1|2.508258e+01|8.875498e-01|2.226204e+01\n",
+ " 2|2.189329e+01|1.456747e-01|3.189297e+00\n",
+ " 3|2.189329e+01|0.000000e+00|0.000000e+00\n",
+ "Elapsed time : 0.005539894104003906 s\n",
+ "It. |Loss |Relative loss|Absolute loss\n",
+ "------------------------------------------------\n",
+ " 0|4.683978e+04|0.000000e+00|0.000000e+00\n",
+ " 1|3.860061e+04|2.134468e-01|8.239175e+03\n",
+ " 2|2.182948e+04|7.682787e-01|1.677113e+04\n",
+ " 3|2.182948e+04|0.000000e+00|0.000000e+00\n"
+ ]
+ }
+ ],
+ "source": [
+ "#%% Computing FGW and GW\n",
+ "alpha = 1e-3\n",
+ "\n",
+ "ot.tic()\n",
+ "Gwg, logw = fused_gromov_wasserstein(M, C1, C2, p, q, loss_fun='square_loss', alpha=alpha, verbose=True, log=True)\n",
+ "ot.toc()\n",
+ "\n",
+ "#%reload_ext WGW\n",
+ "Gg, log = gromov_wasserstein(C1, C2, p, q, loss_fun='square_loss', verbose=True, log=True)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Visualize transport matrices\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "<Figure size 936x360 with 3 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% visu OT matrix\n",
+ "cmap = 'Blues'\n",
+ "fs = 15\n",
+ "pl.figure(2, (13, 5))\n",
+ "pl.clf()\n",
+ "pl.subplot(1, 3, 1)\n",
+ "pl.imshow(Got, cmap=cmap, interpolation='nearest')\n",
+ "#pl.xlabel(\"$y$\",fontsize=fs)\n",
+ "pl.ylabel(\"$i$\", fontsize=fs)\n",
+ "pl.xticks(())\n",
+ "\n",
+ "pl.title('Wasserstein ($M$ only)')\n",
+ "\n",
+ "pl.subplot(1, 3, 2)\n",
+ "pl.imshow(Gg, cmap=cmap, interpolation='nearest')\n",
+ "pl.title('Gromov ($C_1,C_2$ only)')\n",
+ "pl.xticks(())\n",
+ "pl.subplot(1, 3, 3)\n",
+ "pl.imshow(Gwg, cmap=cmap, interpolation='nearest')\n",
+ "pl.title('FGW ($M+C_1,C_2$)')\n",
+ "\n",
+ "pl.xlabel(\"$j$\", fontsize=fs)\n",
+ "pl.ylabel(\"$i$\", fontsize=fs)\n",
+ "\n",
+ "pl.tight_layout()\n",
+ "pl.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": "3.6.8"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}