168 lines
4.7 KiB
Python
168 lines
4.7 KiB
Python
"""
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[Simple and Deep Graph Convolutional Networks]
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(https://arxiv.org/abs/2007.02133)
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"""
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import math
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import dgl.sparse as dglsp
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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from dgl.data import CoraGraphDataset
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from torch.optim import Adam
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class GCNIIConvolution(nn.Module):
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def __init__(self, in_size, out_size):
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super().__init__()
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self.out_size = out_size
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self.weight = nn.Linear(in_size, out_size, bias=False)
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############################################################################
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# (HIGHLIGHT) Take the advantage of DGL sparse APIs to implement the GCNII
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# forward process.
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############################################################################
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def forward(self, A_norm, H, H0, lamda, alpha, l):
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beta = math.log(lamda / l + 1)
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# Multiply a sparse matrix by a dense matrix.
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H = A_norm @ H
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H = (1 - alpha) * H + alpha * H0
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H = (1 - beta) * H + beta * self.weight(H)
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return H
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class GCNII(nn.Module):
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def __init__(
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self,
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in_size,
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out_size,
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hidden_size,
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n_layers,
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lamda,
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alpha,
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dropout=0.5,
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):
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super().__init__()
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self.hidden_size = hidden_size
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self.n_layers = n_layers
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self.lamda = lamda
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self.alpha = alpha
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# The GCNII model.
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self.layers = nn.ModuleList()
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self.layers.append(nn.Linear(in_size, hidden_size))
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for _ in range(n_layers):
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self.layers.append(GCNIIConvolution(hidden_size, hidden_size))
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self.layers.append(nn.Linear(hidden_size, out_size))
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self.activation = nn.ReLU()
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self.dropout = dropout
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def forward(self, A_norm, feature):
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H = feature
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H = F.dropout(H, self.dropout, training=self.training)
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H = self.layers[0](H)
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H = self.activation(H)
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H0 = H
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# The GCNII convolution forward.
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for i, conv in enumerate(self.layers[1:-1]):
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H = F.dropout(H, self.dropout, training=self.training)
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H = conv(A_norm, H, H0, self.lamda, self.alpha, i + 1)
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H = self.activation(H)
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H = F.dropout(H, self.dropout, training=self.training)
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H = self.layers[-1](H)
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return H
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def evaluate(model, A_norm, H, label, val_mask, test_mask):
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model.eval()
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logits = model(A_norm, H)
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pred = logits.argmax(dim=1)
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# Compute accuracy on validation/test set.
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val_acc = (pred[val_mask] == label[val_mask]).float().mean()
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test_acc = (pred[test_mask] == label[test_mask]).float().mean()
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return val_acc, test_acc
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def train(model, g, A_norm, H):
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label = g.ndata["label"]
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train_mask = g.ndata["train_mask"]
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val_mask = g.ndata["val_mask"]
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test_mask = g.ndata["test_mask"]
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optimizer = Adam(model.parameters(), lr=0.01, weight_decay=5e-4)
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loss_fcn = nn.CrossEntropyLoss()
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for epoch in range(100):
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model.train()
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optimizer.zero_grad()
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# Forward.
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logits = model(A_norm, H)
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# Compute loss with nodes in the training set.
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loss = loss_fcn(logits[train_mask], label[train_mask])
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# Backward.
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loss.backward()
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optimizer.step()
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# Evaluate the prediction.
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val_acc, test_acc = evaluate(
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model, A_norm, H, label, val_mask, test_mask
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)
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if epoch % 5 == 0:
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print(
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f"In epoch {epoch}, loss: {loss:.3f}, val acc: {val_acc:.3f}"
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f", test acc: {test_acc:.3f}"
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)
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if __name__ == "__main__":
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# If CUDA is available, use GPU to accelerate the training, use CPU
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# otherwise.
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dev = torch.device("cuda:0" if torch.cuda.is_available() else "cpu")
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# Load graph from the existing dataset.
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dataset = CoraGraphDataset()
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g = dataset[0].to(dev)
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num_classes = dataset.num_classes
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H = g.ndata["feat"]
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# Create the adjacency matrix of graph.
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indices = torch.stack(g.edges())
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N = g.num_nodes()
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A = dglsp.spmatrix(indices, shape=(N, N))
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############################################################################
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# (HIGHLIGHT) Compute the symmetrically normalized adjacency matrix with
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# Sparse Matrix API
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############################################################################
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I = dglsp.identity(A.shape, device=dev)
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A_hat = A + I
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D_hat = dglsp.diag(A_hat.sum(1)) ** -0.5
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A_norm = D_hat @ A_hat @ D_hat
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# Create model.
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in_size = H.shape[1]
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out_size = num_classes
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model = GCNII(
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in_size,
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out_size,
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hidden_size=64,
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n_layers=64,
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lamda=0.5,
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alpha=0.2,
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dropout=0.5,
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).to(dev)
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# Kick off training.
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train(model, g, A_norm, H)
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