Node Classification Using Embeddings
Node embeddings are powerful representations that capture structural and relational information about nodes in a graph. When you use these embeddings as input features for machine learning models, you can tackle a variety of tasks, such as node classification. In node classification, your goal is to predict the label or category of each node, given some known labels and the graph structure. Embeddings effectively transform nodes into continuous vector spaces where similar nodes are close together, making it easier for classification algorithms to distinguish between different classes.
To illustrate, suppose you have generated embeddings for each node in your graph. You can use these embeddings as features in a classification task, just like you would use pixel values in image classification or word vectors in text classification. This approach is especially useful when the graph is large or complex, and traditional feature engineering is challenging.
12345678910111213141516171819202122import numpy as np # Generate synthetic node embeddings (10 nodes, 4-dimensional) np.random.seed(42) embeddings = np.random.randn(10, 4) # Assign synthetic labels: first 5 nodes are class 0, last 5 nodes are class 1 labels = np.array([0]*5 + [1]*5) # Compute centroids for each class in the embedding space centroid_0 = embeddings[labels == 0].mean(axis=0) centroid_1 = embeddings[labels == 1].mean(axis=0) # Classify each node based on nearest centroid predicted_labels = [] for emb in embeddings: dist_0 = np.linalg.norm(emb - centroid_0) dist_1 = np.linalg.norm(emb - centroid_1) predicted_labels.append(0 if dist_0 < dist_1 else 1) print("True labels: ", labels) print("Predicted labels:", predicted_labels)
Semi-supervised node classification in real-world graphs often uses a small set of labeled nodes and propagates labels through the graph structure using embeddings. Explore methods like Graph Convolutional Networks (GCN) and label propagation for advanced techniques.
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Node embeddings are powerful representations that capture structural and relational information about nodes in a graph. When you use these embeddings as input features for machine learning models, you can tackle a variety of tasks, such as node classification. In node classification, your goal is to predict the label or category of each node, given some known labels and the graph structure. Embeddings effectively transform nodes into continuous vector spaces where similar nodes are close together, making it easier for classification algorithms to distinguish between different classes.
To illustrate, suppose you have generated embeddings for each node in your graph. You can use these embeddings as features in a classification task, just like you would use pixel values in image classification or word vectors in text classification. This approach is especially useful when the graph is large or complex, and traditional feature engineering is challenging.
12345678910111213141516171819202122import numpy as np # Generate synthetic node embeddings (10 nodes, 4-dimensional) np.random.seed(42) embeddings = np.random.randn(10, 4) # Assign synthetic labels: first 5 nodes are class 0, last 5 nodes are class 1 labels = np.array([0]*5 + [1]*5) # Compute centroids for each class in the embedding space centroid_0 = embeddings[labels == 0].mean(axis=0) centroid_1 = embeddings[labels == 1].mean(axis=0) # Classify each node based on nearest centroid predicted_labels = [] for emb in embeddings: dist_0 = np.linalg.norm(emb - centroid_0) dist_1 = np.linalg.norm(emb - centroid_1) predicted_labels.append(0 if dist_0 < dist_1 else 1) print("True labels: ", labels) print("Predicted labels:", predicted_labels)
Semi-supervised node classification in real-world graphs often uses a small set of labeled nodes and propagates labels through the graph structure using embeddings. Explore methods like Graph Convolutional Networks (GCN) and label propagation for advanced techniques.
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