191 lines
5.9 KiB
Python
191 lines
5.9 KiB
Python
"""
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How Powerful are Graph Neural Networks
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https://arxiv.org/abs/1810.00826
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https://openreview.net/forum?id=ryGs6iA5Km
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Author's implementation: https://github.com/weihua916/powerful-gnns
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"""
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import mxnet as mx
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from dgl.nn.mxnet.conv import GINConv
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from dgl.nn.mxnet.glob import AvgPooling, MaxPooling, SumPooling
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from mxnet import gluon, nd
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from mxnet.gluon import nn
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class ApplyNodeFunc(nn.Block):
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"""Update the node feature hv with MLP, BN and ReLU."""
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def __init__(self, mlp):
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super(ApplyNodeFunc, self).__init__()
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with self.name_scope():
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self.mlp = mlp
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self.bn = nn.BatchNorm(in_channels=self.mlp.output_dim)
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def forward(self, h):
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h = self.mlp(h)
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h = self.bn(h)
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h = nd.relu(h)
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return h
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class MLP(nn.Block):
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"""MLP with linear output"""
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def __init__(self, num_layers, input_dim, hidden_dim, output_dim):
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"""MLP layers construction
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Paramters
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---------
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num_layers: int
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The number of linear layers
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input_dim: int
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The dimensionality of input features
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hidden_dim: int
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The dimensionality of hidden units at ALL layers
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output_dim: int
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The number of classes for prediction
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"""
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super(MLP, self).__init__()
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self.linear_or_not = True
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self.num_layers = num_layers
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self.output_dim = output_dim
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with self.name_scope():
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if num_layers < 1:
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raise ValueError("number of layers should be positive!")
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elif num_layers == 1:
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# Linear model
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self.linear = nn.Dense(output_dim, in_units=input_dim)
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else:
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self.linear_or_not = False
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self.linears = nn.Sequential()
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self.batch_norms = nn.Sequential()
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self.linears.add(nn.Dense(hidden_dim, in_units=input_dim))
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for layer in range(num_layers - 2):
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self.linears.add(nn.Dense(hidden_dim, in_units=hidden_dim))
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self.linears.add(nn.Dense(output_dim, in_units=hidden_dim))
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for layer in range(num_layers - 1):
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self.batch_norms.add(nn.BatchNorm(in_channels=hidden_dim))
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def forward(self, x):
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if self.linear_or_not:
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return self.linear(x)
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else:
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h = x
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for i in range(self.num_layers - 1):
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h = nd.relu(self.batch_norms[i](self.linears[i](h)))
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return self.linears[-1](h)
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class GIN(nn.Block):
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"""GIN model"""
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def __init__(
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self,
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num_layers,
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num_mlp_layers,
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input_dim,
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hidden_dim,
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output_dim,
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final_dropout,
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learn_eps,
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graph_pooling_type,
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neighbor_pooling_type,
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):
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"""model parameters setting
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Paramters
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---------
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num_layers: int
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The number of linear layers in the neural network
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num_mlp_layers: int
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The number of linear layers in mlps
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input_dim: int
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The dimensionality of input features
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hidden_dim: int
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The dimensionality of hidden units at ALL layers
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output_dim: int
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The number of classes for prediction
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final_dropout: float
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dropout ratio on the final linear layer
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learn_eps: boolean
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If True, learn epsilon to distinguish center nodes from neighbors
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If False, aggregate neighbors and center nodes altogether.
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neighbor_pooling_type: str
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how to aggregate neighbors (sum, mean, or max)
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graph_pooling_type: str
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how to aggregate entire nodes in a graph (sum, mean or max)
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"""
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super(GIN, self).__init__()
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self.num_layers = num_layers
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self.learn_eps = learn_eps
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with self.name_scope():
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# List of MLPs
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self.ginlayers = nn.Sequential()
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self.batch_norms = nn.Sequential()
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for i in range(self.num_layers - 1):
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if i == 0:
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mlp = MLP(num_mlp_layers, input_dim, hidden_dim, hidden_dim)
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else:
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mlp = MLP(
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num_mlp_layers, hidden_dim, hidden_dim, hidden_dim
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)
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self.ginlayers.add(
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GINConv(
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ApplyNodeFunc(mlp),
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neighbor_pooling_type,
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0,
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self.learn_eps,
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)
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)
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self.batch_norms.add(nn.BatchNorm(in_channels=hidden_dim))
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self.linears_prediction = nn.Sequential()
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for i in range(num_layers):
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if i == 0:
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self.linears_prediction.add(
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nn.Dense(output_dim, in_units=input_dim)
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)
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else:
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self.linears_prediction.add(
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nn.Dense(output_dim, in_units=hidden_dim)
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)
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self.drop = nn.Dropout(final_dropout)
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if graph_pooling_type == "sum":
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self.pool = SumPooling()
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elif graph_pooling_type == "mean":
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self.pool = AvgPooling()
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elif graph_pooling_type == "max":
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self.pool = MaxPooling()
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else:
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raise NotImplementedError
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def forward(self, g, h):
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hidden_rep = [h]
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for i in range(self.num_layers - 1):
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h = self.ginlayers[i](g, h)
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h = self.batch_norms[i](h)
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h = nd.relu(h)
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hidden_rep.append(h)
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score_over_layer = 0
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# perform pooling over all nodes in each graph in every layer
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for i, h in enumerate(hidden_rep):
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pooled_h = self.pool(g, h)
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score_over_layer = score_over_layer + self.drop(
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self.linears_prediction[i](pooled_h)
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)
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return score_over_layer
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