From b3e77605af4e2c1e2043e868593aab31e62479de Mon Sep 17 00:00:00 2001 From: jrtechs Date: Sun, 26 Jul 2020 20:20:31 -0400 Subject: [PATCH] Blog post on node2vec --- blogContent/headerImages/steamGraphs2.png | Bin 0 -> 156471 bytes .../media/steamNode2vec/friends.png | Bin 0 -> 214985 bytes .../media/steamNode2vec/games.png | Bin 0 -> 436380 bytes .../media/steamNode2vec/output_9_0.png | Bin 0 -> 17911 bytes .../data-science/node2vec-with-steam-data.md | 212 ++++++++++++++++++ 5 files changed, 212 insertions(+) create mode 100644 blogContent/headerImages/steamGraphs2.png create mode 100644 blogContent/posts/data-science/media/steamNode2vec/friends.png create mode 100644 blogContent/posts/data-science/media/steamNode2vec/games.png create mode 100644 blogContent/posts/data-science/media/steamNode2vec/output_9_0.png create mode 100644 blogContent/posts/data-science/node2vec-with-steam-data.md diff --git a/blogContent/headerImages/steamGraphs2.png 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HcmV?d00001 diff --git a/blogContent/posts/data-science/node2vec-with-steam-data.md b/blogContent/posts/data-science/node2vec-with-steam-data.md new file mode 100644 index 0000000..6e5b219 --- /dev/null +++ b/blogContent/posts/data-science/node2vec-with-steam-data.md @@ -0,0 +1,212 @@ +Graph algorithms!!! +Working with graphs can be a great deal of fun, but, sometimes we just want some cold hard vectors to do some good old fashion machine learning. +This post looks at the famous [node2vec](https://cs.stanford.edu/~jure/pubs/node2vec-kdd16.pdf) algorithm used to quantize graph data. +The example I'm giving in this blog post uses data from my recently resurrected [steam graph project](https://jrtechs.net/projects/steam-friends-graph). + +If you live under a rock, [Steam](https://store.steampowered.com/) is a platform where users can purchase, manage, and play games with friends. +Although there is a ton of data within the Steam network, I am only interested in the graphs formed connecting users, friends, and games. +My updated visualization to show a friendship network looks like this: + +![media](media/steamNode2vec/friends.png) + +I'm also working on visualizations to show both friends and their games. + +![media](media/steamNode2vec/games.png) + +The issue that I'm currently running into is that these graphs quickly become egregiously large. Players on Steam frequently have 100+ friends and own over 50 games-- one person I indexed somehow had over 400 games! +The size of this graph balloons exponentially with traversal depth. +The sheer scale of the graph data makes it challenging to visualize concisely. +Visualization of graph data brings us to our topic today: + + +# Node2Vec + +Node2Vec is an embedding algorithm inspired by [word2vec](https://jrtechs.net/data-science/word-embeddings). +The goal of this algorithm is to covert every node in a graph into a vectorized output where points close in the latent space correspond to related nodes. +Simplifying a few things: node2vec uses the notion of a biased random walk through the graph. +Two parameters -P and Q- defines whether we want to favor a BFS vs. a DFS traversal. A BFS search will give us a better local view of the network where a DFS traversal will provide us with a more global view of the graph. Applying some maths to the random walker outputs, distance in this embedding space is correlated to the probability that two nodes co-occur on the same random walk over the network. + +If you have the time, I urge you to watch [Jure Leskovec's](https://scholar.google.com/citations?user=Q_kKkIUAAAAJ&hl=en) lectures on graph learning on Youtube: + + + +Additionally, if you want to dive deeper into graph learning, I suggest that you dig through the Stanford [CS-224 course page](https://github.com/jrtechs/cs224w-notes). + +# Python Node2Vec Code + +I'm using a simple implementation of Node2Vec that I found on GitHub: [aditya-grover/node2vec](https://github.com/aditya-grover/node2vec). +I'm using this package because it is a faithful implementation to the original paper and doesn't require you to install a lot of dependencies. This was written in Python 2, so to get Python 3 support, you will need to merge in changes from someone's fork because the maintainer is not reviewing any of the pull requests. + +``` +git clone https://github.com/aditya-grover/node2vec +git remote add python3 https://github.com/mcwehner/node2vec +git pull python3 master +git pull python3 updated_requirements +``` + +Pip makes installing the dependencies easy using a requirements file. + + +```python +!pip install -r node2vec/requirements.txt +``` + +Before we run this algorithm, we need to generate some data. +An example edge list is in the [git repo](https://github.com/aditya-grover/node2vec/blob/master/graph/karate.edgelist). + +Using the JanusGraph database I'm using for the [Steam graphs project](https://github.com/jrtechs/SteamFriendsGraph), I generated an edge list for a single player's network. +The code is straightforward; first, I pull the steam ids of the people that I want in my embedding graph. +Second, I pull all the friend connections for the people that I want in the graph, and I filter out any players that are not already in the network. +Finally, I take all the friend relationships and generate the edge pairs and save it to a file. If you are not familiar with data streaming in Java, I suggest that you check out my [last blog post](https://jrtechs.net/java/fun-with-functional-java). + +```java +Set importantEdges = graph + .getPlayer(baseID) + .getFriends() + .parallelStream() + .map(Player::getId) + .collect(Collectors.toSet()); + +Map> edgeList = new HashMap>() +{{ + importantEdges.forEach(f -> + put(f, + graph.getPlayer(f) + .getFriends() + .parallelStream() + .map(Player::getId) + .filter(importantEdges::contains) + .collect(Collectors.toSet())) + ); +}}; + +List edges = edgeList.keySet() + .parallelStream().map(k -> + edgeList.get(k) + .stream() + .map(k2 -> k + " " + k2) + .collect(Collectors.toList())) + .flatMap(Collection::stream) + .collect(Collectors.toList()); + +WrappedFileWriter.writeToFileFromList(edges, outFile); +``` + + +Using the edge list generated in the prior script, I feed it into the node2vec program. + + +```python +!python node2vec/src/main.py --input jrtechs.edgelist --output output/jrtechs2.emd --num-walks=40 --dimensions=50 + +output: + + Walk iteration: + 1 / 40 +... + 40 / 40 +``` + +Once we have our embedding file, we can load it into Python to do machine learning or visualization. +The output of the node2vec algorithm is a sequence of lines where each line starts with the node label, and the rest of the line is the embedding vector. + +```python +labels=[] +vectors=[] + +with open("output/jrtechs2.emd") as fp: + for line in fp: + l_list = list(map(float, line.split())) + vectors.append(l_list[1::]) + labels.append(line.split()[0]) +``` + +Right now, I am interested in visualizing the output. However, that is impractical since it has 50 dimensions! Using the TSNE method, we can reduce the dimensionality so that we can visualize it. + +```python +from sklearn.decomposition import IncrementalPCA # inital reduction +from sklearn.manifold import TSNE # final reduction +import numpy as np + +def reduce_dimensions(labels, vectors, num_dimensions=2): + + # convert both lists into numpy vectors for reduction + vectors = np.asarray(vectors) + labels = np.asarray(labels) + + # reduce using t-SNE + vectors = np.asarray(vectors) + tsne = TSNE(n_components=num_dimensions, random_state=0) + vectors = tsne.fit_transform(vectors) + + x_vals = [v[0] for v in vectors] + y_vals = [v[1] for v in vectors] + return x_vals, y_vals, labels + +x_vals, y_vals, labels = reduce_dimensions(labels, vectors) +``` + +Before we visualize our data, we will want to grab the name of the steam users because right now, all we have is their steam id, which is just a unique number. +Back in our JanusGraph, we can quickly export the steam ids mapped to the players' names. + +```java +Player player = graph.getPlayer(id); +List names = new ArrayList() +{{ + add(id + " " + player.getName()); + addAll( + player.getFriends() + .stream() + .map(p -> p.getId() + " " + p.getName()) + .collect(Collectors.toList()) + ); +}}; +WrappedFileWriter.writeToFileFromList(names, "friendsMap.map"); +``` + +We then just create a map in Python linking the steam id to the player ID. + +```python +name_map = {} +with open("friendsMap.map") as fp: + for line in fp: + name_map[line.split()[0]] = line.split()[1] +``` + +```python +name_map + + {'76561198188400721': 'jrtechs', + '76561198049526995': 'Noosh', +... + '76561198065642391': 'Therefore', + '76561198121369685': 'DataFrogman'} +``` + +Using the output from the TSNE dimensionality reduction, we can view all the nodes on a single plot. To make the graph look more delightful, we only label a fraction of the nodes. + +```python +import matplotlib.pyplot as plt +import random + +def plot_with_matplotlib(x_vals, y_vals, labels, num_to_label): + plt.figure(figsize=(5, 5)) + plt.scatter(x_vals, y_vals) + plt.title("Embedding Space") + indices = list(range(len(labels))) + selected_indices = random.sample(indices, num_to_label) + for i in selected_indices: + plt.annotate(name_map[labels[i]], (x_vals[i], y_vals[i])) + plt.savefig('ex.png') + +plot_with_matplotlib(x_vals, y_vals, labels, 12) +``` + +![algorithm output showing embedding](media/steamNode2vec/output_9_0.png) + +This graph may not look exciting, but I assure you that it is. +Just eyeballing it, I can notice that my high school friends and college friends are in different regions of the graph. + +Moving forward with this, I plan on incorporating game data. +With the graph data vectorized in this fashion, it becomes possible to start employing classification and link prediction algorithms. +Some examples for the steam network could be a friend or game recommendation system, or even a community detection algorithm.