chore: import upstream snapshot with attribution
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"""
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[Graph Attention Networks]
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(https://arxiv.org/abs/1710.10903)
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"""
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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 GATConv(nn.Module):
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def __init__(self, in_size, out_size, num_heads, dropout):
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super().__init__()
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self.out_size = out_size
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self.num_heads = num_heads
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self.dropout = nn.Dropout(dropout)
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self.W = nn.Linear(in_size, out_size * num_heads)
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self.a_l = nn.Parameter(torch.zeros(1, out_size, num_heads))
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self.a_r = nn.Parameter(torch.zeros(1, out_size, num_heads))
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self.reset_parameters()
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def reset_parameters(self):
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gain = nn.init.calculate_gain("relu")
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nn.init.xavier_normal_(self.W.weight, gain=gain)
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nn.init.xavier_normal_(self.a_l, gain=gain)
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nn.init.xavier_normal_(self.a_r, gain=gain)
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###########################################################################
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# (HIGHLIGHT) Take the advantage of DGL sparse APIs to implement
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# multihead attention.
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###########################################################################
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def forward(self, A_hat, Z):
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Z = self.dropout(Z)
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Z = self.W(Z).view(Z.shape[0], self.out_size, self.num_heads)
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# a^T [Wh_i || Wh_j] = a_l Wh_i + a_r Wh_j
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e_l = (Z * self.a_l).sum(dim=1)
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e_r = (Z * self.a_r).sum(dim=1)
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e = e_l[A_hat.row] + e_r[A_hat.col]
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a = F.leaky_relu(e)
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A_atten = dglsp.val_like(A_hat, a).softmax()
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a_drop = self.dropout(A_atten.val)
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A_atten = dglsp.val_like(A_atten, a_drop)
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return dglsp.bspmm(A_atten, Z)
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class GAT(nn.Module):
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def __init__(
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self, in_size, out_size, hidden_size=8, num_heads=8, dropout=0.6
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):
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super().__init__()
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self.in_conv = GATConv(
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in_size, hidden_size, num_heads=num_heads, dropout=dropout
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)
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self.out_conv = GATConv(
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hidden_size * num_heads, out_size, num_heads=1, dropout=dropout
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)
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def forward(self, A_hat, X):
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# Flatten the head and feature dimension.
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Z = F.elu(self.in_conv(A_hat, X)).flatten(1)
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# Average over the head dimension.
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Z = self.out_conv(A_hat, Z).mean(-1)
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return Z
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def evaluate(g, pred):
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label = g.ndata["label"]
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val_mask = g.ndata["val_mask"]
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test_mask = g.ndata["test_mask"]
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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_hat, X):
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label = g.ndata["label"]
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train_mask = g.ndata["train_mask"]
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optimizer = Adam(model.parameters(), lr=1e-2, weight_decay=5e-4)
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for epoch in range(50):
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# Forward.
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model.train()
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logits = model(A_hat, X)
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# Compute loss with nodes in training set.
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loss = F.cross_entropy(logits[train_mask], label[train_mask])
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# Backward.
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optimizer.zero_grad()
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loss.backward()
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optimizer.step()
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# Compute prediction.
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model.eval()
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logits = model(A_hat, X)
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pred = logits.argmax(dim=1)
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# Evaluate the prediction.
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val_acc, test_acc = evaluate(g, pred)
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print(
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f"In epoch {epoch}, loss: {loss:.3f}, val acc: {val_acc:.3f}, test"
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f" 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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# Create the sparse adjacency matrix A.
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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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# Add self-loops.
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I = dglsp.identity(A.shape, device=dev)
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A_hat = A + I
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# Create GAT model.
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X = g.ndata["feat"]
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in_size = X.shape[1]
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out_size = dataset.num_classes
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model = GAT(in_size, out_size).to(dev)
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# Kick off training.
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train(model, g, A_hat, X)
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