99 lines
3.5 KiB
Python
99 lines
3.5 KiB
Python
"""Degree Encoder"""
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import torch as th
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import torch.nn as nn
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class DegreeEncoder(nn.Module):
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r"""Degree Encoder, as introduced in
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`Do Transformers Really Perform Bad for Graph Representation?
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<https://proceedings.neurips.cc/paper/2021/file/f1c1592588411002af340cbaedd6fc33-Paper.pdf>`__
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This module is a learnable degree embedding module.
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Parameters
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----------
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max_degree : int
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Upper bound of degrees to be encoded.
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Each degree will be clamped into the range [0, ``max_degree``].
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embedding_dim : int
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Output dimension of embedding vectors.
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direction : str, optional
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Degrees of which direction to be encoded,
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selected from ``in``, ``out`` and ``both``.
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``both`` encodes degrees from both directions
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and output the addition of them.
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Default : ``both``.
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Example
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-------
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>>> import dgl
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>>> from dgl.nn import DegreeEncoder
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>>> import torch as th
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>>> from torch.nn.utils.rnn import pad_sequence
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>>> g1 = dgl.graph(([0,0,0,1,1,2,3,3], [1,2,3,0,3,0,0,1]))
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>>> g2 = dgl.graph(([0,1], [1,0]))
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>>> in_degree = pad_sequence([g1.in_degrees(), g2.in_degrees()], batch_first=True)
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>>> out_degree = pad_sequence([g1.out_degrees(), g2.out_degrees()], batch_first=True)
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>>> print(in_degree.shape)
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torch.Size([2, 4])
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>>> degree_encoder = DegreeEncoder(5, 16)
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>>> degree_embedding = degree_encoder(th.stack((in_degree, out_degree)))
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>>> print(degree_embedding.shape)
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torch.Size([2, 4, 16])
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"""
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def __init__(self, max_degree, embedding_dim, direction="both"):
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super(DegreeEncoder, self).__init__()
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self.direction = direction
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if direction == "both":
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self.encoder1 = nn.Embedding(
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max_degree + 1, embedding_dim, padding_idx=0
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)
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self.encoder2 = nn.Embedding(
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max_degree + 1, embedding_dim, padding_idx=0
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)
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else:
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self.encoder = nn.Embedding(
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max_degree + 1, embedding_dim, padding_idx=0
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)
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self.max_degree = max_degree
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def forward(self, degrees):
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"""
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Parameters
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----------
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degrees : Tensor
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If :attr:`direction` is ``both``, it should be stacked in degrees and out degrees
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of the batched graph with zero padding, a tensor of shape :math:`(2, B, N)`.
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Otherwise, it should be zero-padded in degrees or out degrees of the batched
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graph, a tensor of shape :math:`(B, N)`, where :math:`B` is the batch size
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of the batched graph, and :math:`N` is the maximum number of nodes.
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Returns
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-------
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Tensor
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Return degree embedding vectors of shape :math:`(B, N, d)`,
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where :math:`d` is :attr:`embedding_dim`.
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"""
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degrees = th.clamp(degrees, min=0, max=self.max_degree)
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if self.direction == "in":
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assert len(degrees.shape) == 2
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degree_embedding = self.encoder(degrees)
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elif self.direction == "out":
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assert len(degrees.shape) == 2
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degree_embedding = self.encoder(degrees)
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elif self.direction == "both":
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assert len(degrees.shape) == 3 and degrees.shape[0] == 2
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degree_embedding = self.encoder1(degrees[0]) + self.encoder2(
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degrees[1]
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)
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else:
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raise ValueError(
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f'Supported direction options: "in", "out" and "both", '
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f"but got {self.direction}"
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)
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return degree_embedding
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