{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ChebLieNet: building graphs from sampled Lie groups\n", "\n", "\n", "In this tutorial, we introduce the notion of group manifold graph, a discretization of a Riemannian manifold. At the moment, four manifolds are available: the translation group $\\mathbb{R}^2$, the roto-translation group $SE(2)$, the 3d rotation group $SO(3)$ and the 1-sphere $S(2)$.\n", "\n", "We define such a graph as following:\n", "- the vertices corresponds to **uniformly sampled** elements on the manifold,\n", "- the edges connects each vertex to its **K nearest neighbors**, w.r.t an **anisotropic riemannian distance**,\n", "- the edges' weights are computed by a **gaussian weight kernel** applied on the riemannian distance between vertices." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:16:23.097439Z", "iopub.status.busy": "2021-11-23T16:16:23.096753Z", "iopub.status.idle": "2021-11-23T16:16:24.008480Z", "shell.execute_reply": "2021-11-23T16:16:24.007866Z" } }, "outputs": [], "source": [ "import torch\n", "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create a graph manifold" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:16:24.013615Z", "iopub.status.busy": "2021-11-23T16:16:24.012549Z", "iopub.status.idle": "2021-11-23T16:16:24.104661Z", "shell.execute_reply": "2021-11-23T16:16:24.105209Z" } }, "outputs": [], "source": [ "from cheblienet.graphs.graphs import SE2GEGraph, SO3GEGraph, S2GEGraph, R2GEGraph, RandomSubGraph" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:16:24.109384Z", "iopub.status.busy": "2021-11-23T16:16:24.108387Z", "iopub.status.idle": "2021-11-23T16:16:24.122315Z", "shell.execute_reply": "2021-11-23T16:16:24.123313Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph already exists: LOADING...\n", "Done!\n" ] } ], "source": [ "r2_graph = R2GEGraph(\n", " size=[28, 28, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\",\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:16:24.129354Z", "iopub.status.busy": "2021-11-23T16:16:24.127484Z", "iopub.status.idle": "2021-11-23T16:16:51.923114Z", "shell.execute_reply": "2021-11-23T16:16:51.922573Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph does not already exist: INITIALIZATION...\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 4704/4704 [00:26<00:00, 180.09it/s]\n", "Done!\n", "Saved!\n" ] } ], "source": [ "eps = 0.1\n", "\n", "se2_graph = SE2GEGraph(\n", " size=[28, 28, 6],\n", " K=16,\n", " sigmas=(1., 1/eps**2, 2.048 / (28 ** 2)),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:16:51.927166Z", "iopub.status.busy": "2021-11-23T16:16:51.925602Z", "iopub.status.idle": "2021-11-23T16:16:51.934965Z", "shell.execute_reply": "2021-11-23T16:16:51.935587Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph already exists: LOADING...\n", "Done!\n" ] } ], "source": [ "s2_graph = S2GEGraph(\n", " size=[642, 1],\n", " K=8,\n", " sigmas=(1., 1., 1.),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:16:51.941949Z", "iopub.status.busy": "2021-11-23T16:16:51.940922Z", "iopub.status.idle": "2021-11-23T16:17:28.384078Z", "shell.execute_reply": "2021-11-23T16:17:28.382649Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph does not already exist: INITIALIZATION...\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 3852/3852 [00:35<00:00, 109.69it/s]\n", "Done!\n", "Saved!\n" ] } ], "source": [ "so3_graph = SO3GEGraph(\n", " size=[642, 6],\n", " K=32,\n", " sigmas=(1., .1, 10/642),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get informations" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.392275Z", "iopub.status.busy": "2021-11-23T16:17:28.391301Z", "iopub.status.idle": "2021-11-23T16:17:28.400558Z", "shell.execute_reply": "2021-11-23T16:17:28.401196Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.is_connected" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.406890Z", "iopub.status.busy": "2021-11-23T16:17:28.405981Z", "iopub.status.idle": "2021-11-23T16:17:28.412201Z", "shell.execute_reply": "2021-11-23T16:17:28.411574Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.is_undirected" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.418086Z", "iopub.status.busy": "2021-11-23T16:17:28.417113Z", "iopub.status.idle": "2021-11-23T16:17:28.421468Z", "shell.execute_reply": "2021-11-23T16:17:28.422076Z" } }, "outputs": [ { "data": { "text/plain": [ "'s2'" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.manifold" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.428372Z", "iopub.status.busy": "2021-11-23T16:17:28.427301Z", "iopub.status.idle": "2021-11-23T16:17:28.431184Z", "shell.execute_reply": "2021-11-23T16:17:28.431832Z" } }, "outputs": [ { "data": { "text/plain": [ "642" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.num_vertices" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.438738Z", "iopub.status.busy": "2021-11-23T16:17:28.437736Z", "iopub.status.idle": "2021-11-23T16:17:28.441083Z", "shell.execute_reply": "2021-11-23T16:17:28.441718Z" } }, "outputs": [ { "data": { "text/plain": [ "3912" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.num_edges # number of directed edges" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.447890Z", "iopub.status.busy": "2021-11-23T16:17:28.446937Z", "iopub.status.idle": "2021-11-23T16:17:28.450628Z", "shell.execute_reply": "2021-11-23T16:17:28.451251Z" } }, "outputs": [ { "data": { "text/plain": [ "tensor([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.vertex_index[:10]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.460302Z", "iopub.status.busy": "2021-11-23T16:17:28.459437Z", "iopub.status.idle": "2021-11-23T16:17:28.463025Z", "shell.execute_reply": "2021-11-23T16:17:28.463573Z" } }, "outputs": [ { "data": { "text/plain": [ "('vertex_beta', 'vertex_gamma')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.vertex_attributes" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.469831Z", "iopub.status.busy": "2021-11-23T16:17:28.468362Z", "iopub.status.idle": "2021-11-23T16:17:28.477805Z", "shell.execute_reply": "2021-11-23T16:17:28.477126Z" } }, "outputs": [ { "data": { "text/plain": [ "(tensor([1.5708, 1.5708, 1.5708, 1.5708, 0.5536, 0.5536, 2.5880, 2.5880, 2.1244,\n", " 1.0172], dtype=torch.float64),\n", " tensor([ 2.1244, 1.0172, -2.1244, -1.0172, -1.5708, 1.5708, -1.5708, 1.5708,\n", " 0.0000, 0.0000], dtype=torch.float64))" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.vertex_beta[:10], s2_graph.vertex_gamma[:10]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.483094Z", "iopub.status.busy": "2021-11-23T16:17:28.482426Z", "iopub.status.idle": "2021-11-23T16:17:28.488092Z", "shell.execute_reply": "2021-11-23T16:17:28.487216Z" } }, "outputs": [ { "data": { "text/plain": [ "tensor([[ 0, 0, 0, ..., 641, 641, 641],\n", " [238, 239, 248, ..., 391, 594, 640]])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.edge_index[:10] # dim 0 is source, dim 1 is target" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.493882Z", "iopub.status.busy": "2021-11-23T16:17:28.492935Z", "iopub.status.idle": "2021-11-23T16:17:28.498296Z", "shell.execute_reply": "2021-11-23T16:17:28.497697Z" } }, "outputs": [ { "data": { "text/plain": [ "tensor([0.0653, 0.0653, 0.3591, 0.3591, 0.3591, 0.3591, 0.0653, 0.3591, 0.0653,\n", " 0.3591])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.edge_weight[:10] # dim 0 is source, dim 1 is target" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.504121Z", "iopub.status.busy": "2021-11-23T16:17:28.503323Z", "iopub.status.idle": "2021-11-23T16:17:28.509434Z", "shell.execute_reply": "2021-11-23T16:17:28.510142Z" } }, "outputs": [ { "data": { "text/plain": [ "tensor([0.0510, 0.0510, 0.0192, 0.0192, 0.0192, 0.0192, 0.0510, 0.0192, 0.0510,\n", " 0.0192])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.edge_sqdist[:10] # dim 0 is source, dim 1 is target" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.517983Z", "iopub.status.busy": "2021-11-23T16:17:28.516939Z", "iopub.status.idle": "2021-11-23T16:17:28.524153Z", "shell.execute_reply": "2021-11-23T16:17:28.524727Z" } }, "outputs": [ { "data": { "text/plain": [ "(tensor([265, 267, 338, 373, 424, 426, 481, 483]),\n", " tensor([0.3591, 0.3591, 0.3591, 0.0653, 0.0653, 0.0653, 0.3591, 0.3591]),\n", " tensor([0.0192, 0.0192, 0.0192, 0.0510, 0.0510, 0.0510, 0.0192, 0.0192]))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s2_graph.neighborhood(9) # neighbors index, edges' weights and squared riemannian distance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Static visualization" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.535904Z", "iopub.status.busy": "2021-11-23T16:17:28.534858Z", "iopub.status.idle": "2021-11-23T16:17:28.538245Z", "shell.execute_reply": "2021-11-23T16:17:28.537610Z" } }, "outputs": [], "source": [ "def plot_graph(graph, size):\n", " M, L = size\n", "\n", " fig = plt.figure(figsize=(5*L, 5))\n", " \n", " X, Y, Z = graph.cartesian_pos()\n", "\n", " for l in range(L):\n", " ax = fig.add_subplot(1, L, l + 1, projection=\"3d\")\n", " ax.scatter(X[l*M:(l+1)*M], Y[l*M:(l+1)*M], Z[l*M:(l+1)*M], c=\"firebrick\")\n", " ax.axis(\"off\")\n", "\n", " fig.tight_layout()\n", "\n", "def plot_graph_neighborhood(graph, index, size):\n", " M, L = size\n", "\n", " fig = plt.figure(figsize=(5, 5))\n", " \n", " X, Y, Z = graph.cartesian_pos()\n", "\n", " neighbors_indices, neighbors_weights, _ = graph.neighborhood(index)\n", " weights = torch.zeros(graph.num_vertices)\n", " weights[neighbors_indices] = neighbors_weights\n", " for l in range(L):\n", " ax = fig.add_subplot(L, 1, l + 1, projection=\"3d\")\n", " ax.scatter(X[l*M:(l+1)*M], Y[l*M:(l+1)*M], Z[l*M:(l+1)*M], c=weights[l*M:(l+1)*M], cmap=cm.PuRd)\n", " ax.axis(\"off\")\n", "\n", " fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.543622Z", "iopub.status.busy": "2021-11-23T16:17:28.542802Z", "iopub.status.idle": "2021-11-23T16:17:28.706004Z", "shell.execute_reply": "2021-11-23T16:17:28.706979Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_graph_neighborhood(s2_graph, 406, [642, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dynamic visualization" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:28.885999Z", "iopub.status.busy": "2021-11-23T16:17:28.885002Z", "iopub.status.idle": "2021-11-23T16:17:29.192396Z", "shell.execute_reply": "2021-11-23T16:17:29.191677Z" } }, "outputs": [], "source": [ "from cheblienet.graphs.viz import visualize_graph, visualize_graph_neighborhood, visualize_graph_signal" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:17:29.197921Z", "iopub.status.busy": "2021-11-23T16:17:29.197150Z", "iopub.status.idle": "2021-11-23T16:18:00.660787Z", "shell.execute_reply": "2021-11-23T16:18:00.660054Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Graph does not already exist: INITIALIZATION...\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 4704/4704 [00:29<00:00, 161.20it/s]\n", "Done!\n", "Saved!\n" ] } ], "source": [ "eps = 0.1\n", "xi = 6 / (28 ** 2)\n", "\n", "se2_graph = SE2GEGraph(\n", " size=[28, 28, 6],\n", " K=32,\n", " sigmas=(1., 1/eps, xi),\n", " path_to_graph=\"saved_graphs\"\n", ")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:00.667846Z", "iopub.status.busy": "2021-11-23T16:18:00.666837Z", "iopub.status.idle": "2021-11-23T16:18:01.979740Z", "shell.execute_reply": "2021-11-23T16:18:01.980436Z" } }, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "signal = torch.rand(s2_graph.num_vertices)\n", "visualize_graph_signal(s2_graph, signal)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Random sub graph" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:02.484857Z", "iopub.status.busy": "2021-11-23T16:18:02.483979Z", "iopub.status.idle": "2021-11-23T16:18:02.491698Z", "shell.execute_reply": "2021-11-23T16:18:02.492884Z" } }, "outputs": [ { "data": { "text/plain": [ "(642, 3912)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "random_subgraph = RandomSubGraph(s2_graph)\n", "random_subgraph.num_vertices, random_subgraph.num_edges" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:02.500141Z", "iopub.status.busy": "2021-11-23T16:18:02.498801Z", "iopub.status.idle": "2021-11-23T16:18:02.512319Z", "shell.execute_reply": "2021-11-23T16:18:02.511509Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reinit graph...\n", "Done!\n", "Sample edges...\n", "Done!\n" ] }, { "data": { "text/plain": [ "(642, 3522)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "random_subgraph.reinit()\n", "random_subgraph.edges_sampling(0.9)\n", "random_subgraph.num_vertices, random_subgraph.num_edges" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2021-11-23T16:18:02.519549Z", "iopub.status.busy": "2021-11-23T16:18:02.518411Z", "iopub.status.idle": "2021-11-23T16:18:02.527411Z", "shell.execute_reply": "2021-11-23T16:18:02.527963Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reinit graph...\n", "Done!\n", "Sample vertices...\n", "Done!\n" ] }, { "data": { "text/plain": [ "(321, 1030)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "random_subgraph.reinit()\n", "random_subgraph.vertices_sampling(0.5)\n", "random_subgraph.num_vertices, random_subgraph.num_edges" ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }