chore: import upstream snapshot with attribution

2026-07-13 13:35:51 +08:00
commit c36a561cd8
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+"""MXNet Module for DenseGraphConv"""
+# pylint: disable= no-member, arguments-differ, invalid-name
+import math
+
+import mxnet as mx
+from mxnet import nd
+from mxnet.gluon import nn
+
+
+class DenseGraphConv(nn.Block):
+    """Graph Convolutional layer from `Semi-Supervised Classification with Graph
+    Convolutional Networks <https://arxiv.org/abs/1609.02907>`__
+
+    We recommend user to use this module when applying graph convolution on
+    dense graphs.
+
+    Parameters
+    ----------
+    in_feats : int
+        Input feature size; i.e, the number of dimensions of :math:`h_j^{(l)}`.
+    out_feats : int
+        Output feature size; i.e., the number of dimensions of :math:`h_i^{(l+1)}`.
+    norm : str, optional
+        How to apply the normalizer. If is `'right'`, divide the aggregated messages
+        by each node's in-degrees, which is equivalent to averaging the received messages.
+        If is `'none'`, no normalization is applied. Default is `'both'`,
+        where the :math:`c_{ij}` in the paper is applied.
+    bias : bool, optional
+        If True, adds a learnable bias to the output. Default: ``True``.
+    activation : callable activation function/layer or None, optional
+        If not None, applies an activation function to the updated node features.
+        Default: ``None``.
+
+    Notes
+    -----
+    Zero in-degree nodes will lead to all-zero output. A common practice
+    to avoid this is to add a self-loop for each node in the graph,
+    which can be achieved by setting the diagonal of the adjacency matrix to be 1.
+
+    See also
+    --------
+    `GraphConv <https://docs.dgl.ai/api/python/nn.pytorch.html#graphconv>`__
+    """
+
+    def __init__(
+        self, in_feats, out_feats, norm="both", bias=True, activation=None
+    ):
+        super(DenseGraphConv, self).__init__()
+        self._in_feats = in_feats
+        self._out_feats = out_feats
+        self._norm = norm
+        with self.name_scope():
+            self.weight = self.params.get(
+                "weight",
+                shape=(in_feats, out_feats),
+                init=mx.init.Xavier(magnitude=math.sqrt(2.0)),
+            )
+            if bias:
+                self.bias = self.params.get(
+                    "bias", shape=(out_feats,), init=mx.init.Zero()
+                )
+            else:
+                self.bias = None
+            self._activation = activation
+
+    def forward(self, adj, feat):
+        r"""
+
+        Description
+        -----------
+        Compute (Dense) Graph Convolution layer.
+
+        Parameters
+        ----------
+        adj : mxnet.NDArray
+            The adjacency matrix of the graph to apply Graph Convolution on, when
+            applied to a unidirectional bipartite graph, ``adj`` should be of shape
+            should be of shape :math:`(N_{out}, N_{in})`; when applied to a homo
+            graph, ``adj`` should be of shape :math:`(N, N)`. In both cases,
+            a row represents a destination node while a column represents a source
+            node.
+        feat : mxnet.NDArray
+            The input feature.
+
+        Returns
+        -------
+        mxnet.NDArray
+            The output feature of shape :math:`(N, D_{out})` where :math:`D_{out}`
+            is size of output feature.
+        """
+        adj = adj.astype(feat.dtype).as_in_context(feat.context)
+        src_degrees = nd.clip(adj.sum(axis=0), a_min=1, a_max=float("inf"))
+        dst_degrees = nd.clip(adj.sum(axis=1), a_min=1, a_max=float("inf"))
+        feat_src = feat
+
+        if self._norm == "both":
+            norm_src = nd.power(src_degrees, -0.5)
+            shp_src = norm_src.shape + (1,) * (feat.ndim - 1)
+            norm_src = norm_src.reshape(shp_src).as_in_context(feat.context)
+            feat_src = feat_src * norm_src
+
+        if self._in_feats > self._out_feats:
+            # mult W first to reduce the feature size for aggregation.
+            feat_src = nd.dot(feat_src, self.weight.data(feat_src.context))
+            rst = nd.dot(adj, feat_src)
+        else:
+            # aggregate first then mult W
+            rst = nd.dot(adj, feat_src)
+            rst = nd.dot(rst, self.weight.data(feat_src.context))
+
+        if self._norm != "none":
+            if self._norm == "both":
+                norm_dst = nd.power(dst_degrees, -0.5)
+            else:  # right
+                norm_dst = 1.0 / dst_degrees
+            shp_dst = norm_dst.shape + (1,) * (feat.ndim - 1)
+            norm_dst = norm_dst.reshape(shp_dst).as_in_context(feat.context)
+            rst = rst * norm_dst
+
+        if self.bias is not None:
+            rst = rst + self.bias.data(feat.context)
+
+        if self._activation is not None:
+            rst = self._activation(rst)
+
+        return rst