{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Graph Learning Tasks - Missing link prediction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Link prediction, also known as graph completion, is a common problem when dealing with graphs. More precisely, from a partially observed graph—a graph where for a certain pair of nodes it is not possible to exactly know if there is (or there is not) an edge between them—we want to predict whether or not edges exist for the unknown status node pairs, as seen in the following figure:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The link prediction problem is widely used in different domains, such as a recommender system in order to propose friendships in social networks or items to purchase on e-commerce websites. It is also used in criminal network investigations in order to find hidden connections between criminal clusters, as well as in bioinformatics for the analysis of protein-protein interactions." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!pip install -q stellargraph\n", "!pip install -q node2vec" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import networkx as nx\n", "from node2vec import Node2Vec\n", "from node2vec.edges import HadamardEmbedder\n", "import matplotlib.pyplot as plt\n", "from sklearn import metrics\n", "from stellargraph.data import EdgeSplitter\n", "from sklearn.ensemble import RandomForestClassifier" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def draw_graph(G, node_names={}, node_size=500):\n", " pos_nodes = nx.spring_layout(G)\n", " nx.draw(G, pos_nodes, with_labels=True, node_size=node_size, edge_color='gray', arrowsize=30)\n", " \n", " pos_attrs = {}\n", " for node, coords in pos_nodes.items():\n", " pos_attrs[node] = (coords[0], coords[1] + 0.08)\n", " \n", " nx.draw_networkx_labels(G, pos_attrs, font_family='serif', font_size=20)\n", " \n", " plt.axis('off')\n", " axis = plt.gca()\n", " axis.set_xlim([1.2*x for x in axis.get_xlim()])\n", " axis.set_ylim([1.2*y for y in axis.get_ylim()])\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Similarity-based methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main idea is to estimate a similarity function between each couple of nodes in a graph. If, according to the function, the nodes look similar, they will have a high probability of being connected by an edge. We will divide these algorithms into two sub-families: index-based and community-based methods. The former contains all the methods through a simple calculation of an index based on the neighbors of a given couple of nodes. The latter contains more sophisticated algorithms, whereby the index is computed using information about the community to which a given couple of nodes belong." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "edges = [[1,3],[2,3],[2,4],[4,5],[5,6],[5,7]]\n", "G = nx.from_edgelist(edges)\n", "draw_graph(G)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Resource allocation index - index-based method\n", "preds = nx.resource_allocation_index(G,[(1,2),(2,7),(4,6)])\n", "print(list(preds))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Jaccard coefficient - another index-based method\n", "preds = nx.jaccard_coefficient(G,[(1,2),(2,7),(4,6)])\n", "print(list(preds))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "G.nodes[1][\"community\"] = 0\n", "G.nodes[2][\"community\"] = 0\n", "G.nodes[3][\"community\"] = 0\n", "\n", "G.nodes[4][\"community\"] = 1\n", "G.nodes[5][\"community\"] = 1\n", "G.nodes[6][\"community\"] = 1\n", "G.nodes[7][\"community\"] = 1" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Community common neighbor - community-based method\n", "preds = nx.cn_soundarajan_hopcroft(G,[(1,2),(2,7),(4,6)])\n", "print(list(preds))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# # Community resource allocation - another community-based method\n", "preds = nx.ra_index_soundarajan_hopcroft(G,[(1,2),(2,7),(4,6)])\n", "print(list(preds))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Embedding-based method" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!wget https://linqs-data.soe.ucsc.edu/public/lbc/cora.tgz\n", "!tar -xvf cora.tgz" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "edgelist = pd.read_csv(\"./cora/cora.cites\", sep='\\t', header=None, names=[\"target\", \"source\"])\n", "G = nx.from_pandas_edgelist(edgelist)\n", "draw_graph(G)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "edgeSplitter = EdgeSplitter(G)\n", "graph_test, samples_test, labels_test = edgeSplitter.train_test_split(\n", " p=0.1, method=\"global\"\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "edgeSplitter = EdgeSplitter(graph_test, G)\n", "graph_train, samples_train, labels_train = edgeSplitter.train_test_split(\n", " p=0.1, method=\"global\"\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "node2vec = Node2Vec(graph_train)\n", "model = node2vec.fit()\n", "edges_embs = HadamardEmbedder(keyed_vectors=model.wv)\n", "train_embeddings = [edges_embs[str(x[0]),str(x[1])] for x in samples_train]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "test_embeddings = [edges_embs[str(x[0]),str(x[1])] for x in samples_test]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "rf = RandomForestClassifier(n_estimators=1000)\n", "rf.fit(train_embeddings, labels_train);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "y_pred = rf.predict(test_embeddings)\n", "\n", "print('Precision:', metrics.precision_score(labels_test, y_pred))\n", "print('Recall:', metrics.recall_score(labels_test, y_pred))\n", "print('F1-Score:', metrics.f1_score(labels_test, y_pred))" ] } ], "metadata": { "colab": { "authorship_tag": "ABX9TyNuRPb+do4LHFc6+RYqSRxS", "collapsed_sections": [], "name": "rec-tut-gml-05-glt-missing-link-prediction.ipynb", "provenance": [ { "file_id": "1FlR0Nt00zRzrjciEpl46j51IIomB0K_p", "timestamp": 1627989061002 } ] }, "kernelspec": 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