{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise 16.1 - Solution\n", "## Zachary’s karate club - semi-supervised node classification\n", "In this exercise, we investigate semi-supervised node classification using Graph Convolutional Networks on Zachary’s Karate Club dataset introduced in Example 10.2.\n", "Sometime ago there was a dispute between the manager and the coach of the karate club which led to a split of the club into four groups.\n", "\n", "Can we use Graph Convolutional Networks to predict the affiliation of each member given the social network of the community and the memberships of only four people?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The exercise uses spektral and networkx. If you don't have yet installed both packages, do so by executing:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import sys\n", "!{sys.executable} -m pip install spektral\n", "!{sys.executable} -m pip install networkx" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "spektral 1.0.6\n", "keras 2.4.0\n" ] } ], "source": [ "from tensorflow import keras\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "import numpy as np\n", "import spektral\n", "\n", "print(\"spektral\", spektral.__version__)\n", "print(\"keras\", keras.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Download data: Zachary’s karate club\n", "You can find the original data set [here](http://vlado.fmf.uni-lj.si/pub/networks/data/ucinet/ucidata.htm#zachary)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import gdown\n", "import os\n", " \n", "url = \"https://drive.google.com/u/0/uc?export=download&confirm=HgGH&id=1OugMZz6VVBjWy0uxsG_rrPdrYdPLklzD\"\n", "output = 'karate_club.npz'\n", "\n", "if os.path.exists(output) == False:\n", " gdown.download(url, output, quiet=True)\n", "\n", "f = np.load(output) \n", " \n", "adj, features = f[\"adj\"], f[\"features\"]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "adjacency matrix\n", " [[0. 1. 1. ... 1. 0. 0.]\n", " [1. 0. 1. ... 0. 0. 0.]\n", " [1. 1. 0. ... 0. 1. 0.]\n", " ...\n", " [1. 0. 0. ... 0. 1. 1.]\n", " [0. 0. 1. ... 1. 0. 1.]\n", " [0. 0. 0. ... 1. 1. 0.]]\n" ] } ], "source": [ "print(\"adjacency matrix\\n\", adj)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "features\n", " [[1. 0. 0. ... 0. 0. 0.]\n", " [0. 1. 0. ... 0. 0. 0.]\n", " [0. 0. 1. ... 0. 0. 0.]\n", " ...\n", " [0. 0. 0. ... 1. 0. 0.]\n", " [0. 0. 0. ... 0. 1. 0.]\n", " [0. 0. 0. ... 0. 0. 1.]]\n" ] } ], "source": [ "print(\"features\\n\", features)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "labels: [2 2 3 2 1 1 1 2 4 3 1 2 2 2 4 4 1 2 4 2 4 2 4 4 3 3 4 3 3 4 4 3 4 4]\n" ] } ], "source": [ "labels_one_hot = f[\"labels_one_hot\"]\n", "\n", "def one_hot_to_labels(labels_one_hot):\n", " return np.sum([(labels_one_hot[:, i] == 1) * (i + 1) for i in range(4)], axis=0)\n", "\n", "labels = one_hot_to_labels(labels_one_hot)\n", "\n", "print(\"labels:\", labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot data" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = nx.from_numpy_matrix(adj) # define nx graph\n", "\n", "fig, _ = plt.subplots(1)\n", "nx.draw(g, pos=nx.random_layout(g), cmap=plt.get_cmap('jet'), node_color=np.log(one_hot_to_labels(labels_one_hot)),\n", " node_size=np.sum(200 * labels_one_hot, axis=-1) + 150)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each node symbolizes one member of the Karate Club, and the edges indicate a close social relationship.\n", "The colors indicate the group affiliation of each member." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can further make a more sophisticated visualization of the data, by plotting the graph using the `spring_layout`" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(2)\n", "fig, _ = plt.subplots(1)\n", "nx.draw(g, pos=nx.spring_layout(g), cmap=plt.get_cmap('jet'), node_color=np.log(one_hot_to_labels(labels_one_hot)),\n", " node_size= np.sum(200 * labels_one_hot, axis=-1) + 150)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Preparation of data\n", "In the following, we prepare our data. Let us assume that after the splitting of the karate club, we only have information from 4 members. In this case, each member is part of another group.\n", "\n", "This will give us a nice example for a weakly supervised learning task. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "np.random.seed(2)\n", "\n", "# Pick randomly one karate fighter from each class\n", "labels_to_keep = np.array([np.random.choice(np.nonzero(labels_one_hot[:, c])[0]) for c in range(4)])\n", "mask = np.zeros(shape=labels_one_hot.shape[0], dtype=np.bool)\n", "mask[labels_to_keep] = ~mask[labels_to_keep]\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(2)\n", "fig, axes = plt.subplots(1)\n", "nx.draw(g, cmap=plt.get_cmap('jet'), node_color=\"grey\",\n", " node_size=150)\n", "\n", "np.seterr(divide = 'ignore') \n", "np.random.seed(2)\n", "nx.draw(g, cmap=plt.get_cmap('jet'), node_color=np.log(one_hot_to_labels(labels_one_hot * mask[:,np.newaxis])),\n", " node_size=450, ax=axes)\n", "np.seterr(divide = 'warn')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These data we will now use for performing semi-supervised node classification using graph convolutional networks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model definition\n", "\n", "In the following we preprocess the data and create a [Graph Convolutional Network](https://arxiv.org/abs/1609.02907) to classify the nodes of the graph (determine the membership of each karate fighter). For more details see Sec.10.4.1 of the book.\n", "\n", "Additionally, we create a mask for masking the memberships of all karate fighter except the four members (`labels_to_keep`) when training the GCN." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "val_mask:\n", " [ True True True True False True True True True True True True\n", " True True True True True True True False True True True True\n", " True True True True True True True False True False]\n", "\n", "train_mask:\n", " [False False False False True False False False False False False False\n", " False False False False False False False True False False False False\n", " False False False False False False False True False True]\n" ] } ], "source": [ "train_mask = np.zeros(shape=labels_one_hot.shape[0], dtype=np.bool)\n", "train_mask[labels_to_keep] = ~train_mask[labels_to_keep]\n", "val_mask = ~train_mask\n", "\n", "print(\"val_mask:\\n\", val_mask)\n", "print(\"\\ntrain_mask:\\n\", train_mask)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Preprocessing and preparing of data\n", "y_train = labels_one_hot * train_mask[..., np.newaxis]\n", "y_val = labels_one_hot * val_mask[..., np.newaxis]\n", "\n", "fltr = spektral.layers.GCNConv.preprocess(adj).astype('f4') # normalize the adjacency matrix (See Sec.10.4.1)\n", "X = np.identity(34) # create input for the DNN (the existence of each person (one-hot encoded))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To add a GCN layer to the model use `spektral.layers.GCNConv()[feature_input, adjacency]`, where `feature_input` denotes the input features and `adjacency` the normalized (pre-processed) adjacency matrix ($\\hat{A}$). \n", "Note that the adjacency matrix has to be passed to each GCN layer." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"model\"\n", "__________________________________________________________________________________________________\n", "Layer (type) Output Shape Param # Connected to \n", "==================================================================================================\n", "input_1 (InputLayer) [(None, 34)] 0 \n", "__________________________________________________________________________________________________\n", "input_2 (InputLayer) [(None, 34)] 0 \n", "__________________________________________________________________________________________________\n", "gcn_conv (GCNConv) (None, 4) 136 input_1[0][0] \n", " input_2[0][0] \n", "__________________________________________________________________________________________________\n", "dropout (Dropout) (None, 4) 0 gcn_conv[0][0] \n", "__________________________________________________________________________________________________\n", "gcn_conv_1 (GCNConv) (None, 4) 16 dropout[0][0] \n", " input_2[0][0] \n", "__________________________________________________________________________________________________\n", "dropout_1 (Dropout) (None, 4) 0 gcn_conv_1[0][0] \n", "__________________________________________________________________________________________________\n", "embedding (GCNConv) (None, 2) 8 dropout_1[0][0] \n", " input_2[0][0] \n", "__________________________________________________________________________________________________\n", "dropout_2 (Dropout) (None, 2) 0 embedding[0][0] \n", "__________________________________________________________________________________________________\n", "gcn_conv_2 (GCNConv) (None, 4) 8 dropout_2[0][0] \n", " input_2[0][0] \n", "==================================================================================================\n", "Total params: 168\n", "Trainable params: 168\n", "Non-trainable params: 0\n", "__________________________________________________________________________________________________\n", "None\n" ] } ], "source": [ "F = 4 # number of features\n", "N = adj.shape[0] # number of nodes\n", "\n", "X_in = keras.layers.Input(shape=(N,))\n", "fltr_in = keras.layers.Input(shape=(N,))\n", "x = spektral.layers.GCNConv(F, activation='tanh', use_bias=False)([X_in, fltr_in])\n", "x = keras.layers.Dropout(0.4)(x)\n", "x = spektral.layers.GCNConv(F, activation='tanh', use_bias=False)([x, fltr_in])\n", "x = keras.layers.Dropout(0.4)(x)\n", "x = spektral.layers.GCNConv(2, activation='tanh', use_bias=False, name=\"embedding\")([x, fltr_in])\n", "x = keras.layers.Dropout(0.4)(x)\n", "output = spektral.layers.GCNConv(4, activation='softmax', use_bias=False)([x, fltr_in])\n", "\n", "model = keras.models.Model(inputs=[X_in, fltr_in], outputs=output)\n", "\n", "print(model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Semi-supervised training of the GCN\n", "\n", "For training the model, you can make use of the code skeletons below.\n", "To mask during training the DNN predictions for nodes for which labels are not known masking must be applied. This will guarantee that only the predictions made for the four nodes contribute to the objective.\n", "\n", "For implementing this condition to perform semi-supervised node classification, you can make use of the `sample_weight` argument of `model.train_on_batch()`.\n", "\n", "Note that in this exercise, in contrast to most other exercises, we have to train the network on a single data structure (an undirected graph). Thus, the input data are always `[X, fltr]`, and the targets are `labels_one_hot`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "learning_rate = 0.01\n", "epochs = 2000\n", "\n", "\n", "model.compile(optimizer=keras.optimizers.Adam(lr=learning_rate, decay=1e-3),\n", " loss='categorical_crossentropy',\n", " weighted_metrics=['acc'])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iteration: 0 val_loss: 1.220716118812561 val_accuracy: 0.20000000298023224\n", "iteration: 0 loss: 0.16210822761058807 accuracy: 0.25\n", "iteration: 100 val_loss: 0.8142460584640503 val_accuracy: 0.5666666626930237\n", "iteration: 100 loss: 0.07607047259807587 accuracy: 0.5\n", "iteration: 200 val_loss: 0.7158778309822083 val_accuracy: 0.6000000238418579\n", "iteration: 200 loss: 0.05839081481099129 accuracy: 0.75\n", "iteration: 300 val_loss: 0.66419917345047 val_accuracy: 0.6000000238418579\n", "iteration: 300 loss: 0.0749407410621643 accuracy: 0.75\n", "iteration: 400 val_loss: 0.6143096685409546 val_accuracy: 0.6333333253860474\n", "iteration: 400 loss: 0.03915657475590706 accuracy: 1.0\n", "iteration: 500 val_loss: 0.5422644019126892 val_accuracy: 0.800000011920929\n", "iteration: 500 loss: 0.038086000829935074 accuracy: 0.75\n", "iteration: 600 val_loss: 0.5167407989501953 val_accuracy: 0.8666666746139526\n", "iteration: 600 loss: 0.09346935898065567 accuracy: 0.75\n", "iteration: 700 val_loss: 0.47521546483039856 val_accuracy: 0.8666666746139526\n", "iteration: 700 loss: 0.019280560314655304 accuracy: 1.0\n", "iteration: 800 val_loss: 0.47116196155548096 val_accuracy: 0.8666666746139526\n", "iteration: 800 loss: 0.022175412625074387 accuracy: 1.0\n", "iteration: 900 val_loss: 0.4794115126132965 val_accuracy: 0.8666666746139526\n", "iteration: 900 loss: 0.023522397503256798 accuracy: 1.0\n", "iteration: 1000 val_loss: 0.44566527009010315 val_accuracy: 0.8666666746139526\n", "iteration: 1000 loss: 0.019912123680114746 accuracy: 1.0\n", "iteration: 1100 val_loss: 0.47822806239128113 val_accuracy: 0.8666666746139526\n", "iteration: 1100 loss: 0.0250545684248209 accuracy: 1.0\n", "iteration: 1200 val_loss: 0.44681262969970703 val_accuracy: 0.8666666746139526\n", "iteration: 1200 loss: 0.013429190963506699 accuracy: 1.0\n", "iteration: 1300 val_loss: 0.43512454628944397 val_accuracy: 0.8666666746139526\n", "iteration: 1300 loss: 0.020627062767744064 accuracy: 1.0\n", "iteration: 1400 val_loss: 0.4363212287425995 val_accuracy: 0.8666666746139526\n", "iteration: 1400 loss: 0.021992037072777748 accuracy: 1.0\n", "iteration: 1500 val_loss: 0.41837286949157715 val_accuracy: 0.8666666746139526\n", "iteration: 1500 loss: 0.013688452541828156 accuracy: 1.0\n", "iteration: 1600 val_loss: 0.4596754014492035 val_accuracy: 0.8666666746139526\n", "iteration: 1600 loss: 0.014334342442452908 accuracy: 1.0\n", "iteration: 1700 val_loss: 0.45348453521728516 val_accuracy: 0.8666666746139526\n", "iteration: 1700 loss: 0.009742897003889084 accuracy: 1.0\n", "iteration: 1800 val_loss: 0.43000349402427673 val_accuracy: 0.8666666746139526\n", "iteration: 1800 loss: 0.05205704644322395 accuracy: 0.75\n", "iteration: 1900 val_loss: 0.4394140839576721 val_accuracy: 0.8666666746139526\n", "iteration: 1900 loss: 0.01599077135324478 accuracy: 1.0\n" ] } ], "source": [ "history = []\n", "\n", "for i in range(epochs):\n", " loss, acc = model.train_on_batch([X, fltr], labels_one_hot,\n", " sample_weight=train_mask)\n", "\n", " val_loss, val_acc = model.test_on_batch([X, fltr], labels_one_hot, sample_weight=val_mask)\n", " history.append([val_loss, val_acc])\n", "\n", " if i % 100 == 0:\n", " print(\"iteration:\", i, \"val_loss:\", val_loss, \"val_accuracy:\", val_acc)\n", " print(\"iteration:\", i, \"loss:\", loss, \"accuracy:\", acc)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot training history" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, figsize=(12,8))\n", "if type(history) == dict:\n", " loss = history[\"val_loss\"]\n", " acc = history[\"val_acc\"]\n", "else:\n", " loss, acc = np.split(np.array(history), 2, axis=-1)\n", "x = np.arange(len(loss))\n", "axes[0].plot(x, loss, c=\"navy\")\n", "axes[0].set_yscale(\"log\")\n", "axes[0].set_ylabel(\"Validation loss\")\n", "axes[1].plot(x, acc, c=\"firebrick\")\n", "axes[1].set_ylabel(\"Validation accuracy\")\n", "axes[1].set_ylim(0, 1)\n", "axes[0].set_xlabel(\"Iterations\")\n", "axes[1].set_xlabel(\"Iterations\")\n", "plt.tight_layout()" ] } ], "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": 4 }