update

torch_geometric/nn/pool/connect/base.py

@@ -1,26 +1,72 @@
+from dataclasses import dataclass
 from typing import Optional, Tuple
 
 import torch
 from torch import Tensor
 
 from torch_geometric.nn.pool.select import SelectOutput
+from torch_geometric.utils.mixin import CastMixin
+
+
+@dataclass(init=False)
+class ConnectOutput(CastMixin):
+    r"""The output of the :class:`Connect` method, which holds the coarsened
+    graph structure, and optional pooled edge features and batch vectors.
+
+    Args:
+        edge_index (torch.Tensor): The edge indices of the cooarsened graph.
+        edge_attr (torch.Tensor, optional): The pooled edge features of the
+            coarsened graph. (default: :obj:`None`)
+        batch (torch.Tensor, optional): The pooled batch vector of the
+            coarsened graph. (default: :obj:`None`)
+    """
+    edge_index: Tensor
+    edge_attr: Optional[Tensor] = None
+    batch: Optional[Tensor] = None
+
+    def __init__(
+        self,
+        edge_index: Tensor,
+        edge_attr: Optional[Tensor] = None,
+        batch: Optional[Tensor] = None,
+    ):
+        if edge_index.dim() != 2:
+            raise ValueError(f"Expected 'edge_index' to be two-dimensional "
+                             f"(got {edge_index.dim()} dimensions)")
+
+        if edge_index.size(0) != 2:
+            raise ValueError(f"Expected 'edge_index' to have size '2' in the "
+                             f"first dimension (got '{edge_index.size(0)}')")
+
+        if edge_attr is not None and edge_attr.size(0) != edge_index.size(1):
+            raise ValueError(f"Expected 'edge_index' and 'edge_attr' to "
+                             f"hold the same number of edges (got "
+                             f"{edge_index.size(1)} and {edge_attr.size(0)} "
+                             f"edges)")
+
+        self.edge_index = edge_index
+        self.edge_attr = edge_attr
+        self.batch = batch
 
 
 class Connect(torch.nn.Module):
-    r"""An abstract base class implementing custom edge connection operators.
+    r"""An abstract base class implementing custom edge connection operators as
+    described in the `"Understanding Pooling in Graph Neural Networks"
+    <https://arxiv.org/abs/1905.05178>`_ paper.
 
     Specifically, :class:`Connect` determines for each pair of supernodes the
     presence or abscene of an edge based on the existing edges between the
     nodes in the two supernodes.
-    The operator also computes new coarsened edge features (if present).
+    The operator also computes pooled edge features and batch vectors
+    (if present).
     """
     def reset_parameters(self):
         r"""Resets all learnable parameters of the module."""
         pass
 
     def forward(
         self,
-        cluster: SelectOutput,
+        select_output: SelectOutput,
         edge_index: Tensor,
         edge_attr: Optional[Tensor] = None,
         batch: Optional[Tensor] = None,
@@ -38,5 +84,25 @@ def forward(
         """
         raise NotImplementedError
 
+    @staticmethod
+    def get_pooled_batch(
+        select_output: SelectOutput,
+        batch: Optional[Tensor],
+    ) -> Optional[Tensor]:
+        r"""Returns the batch vector of the coarsened graph.
+
+        Args:
+            select_output (SelectOutput): The output of :class:`Select`.
+            batch (torch.Tensor, optional): The batch vector
+                :math:`\mathbf{b} \in {\{ 0, \ldots, B-1\}}^N`, which assigns
+                each element to a specific example. (default: :obj:`None`)
+        """
+        if batch is None:
+            return batch
+
+        out = torch.arange(select_output.num_clusters, device=batch.device)
+        return out.scatter_(0, select_output.cluster_index,
+                            batch[select_output.node_index])
+
     def __repr__(self) -> str:
         return f'{self.__class__.__name__}()'

torch_geometric/nn/pool/select/__init__.py

@@ -1,3 +1,6 @@
 from .base import Select, SelectOutput
 
-__all__ = ['Select', 'SelectOutput']
+__all__ = [
+    'Select',
+    'SelectOutput',
+]

torch_geometric/nn/pool/select/base.py

@@ -4,56 +4,77 @@
 import torch
 from torch import Tensor
 
+from torch_geometric.utils.mixin import CastMixin
+
+
+@dataclass(init=False)
+class SelectOutput(CastMixin):
+    r"""The output of the :class:`Select` method, which holds an assignment
+    from selected nodes to their respective cluster(s).
 
-@dataclass
-class SelectOutput:
-    """
-    Output of the :meth:`Select.forward` method. Contains
-    a mapping from nodes to clusters, and the number of clusters.
     Args:
-        node_index (Tensor): The indices of the selected nodes.
-        cluster_index (Tensor): The indices of the clusters each node is
-            assigned to. Same shape as :obj:`node_index`.
+        node_index (torch.Tensor): The indices of the selected nodes.
+        cluster_index (torch.Tensor): The indices of the clusters each node in
+            :obj:`node_index` is assigned to.
         num_clusters (int): The number of clusters.
-        weight (Tensor, optional): A weight Tensor with values in range
-            `[0, 1]`, denoting assignment weight of a node to a cluster.
-            Same shape as :obj:`node_index`. (default: :obj:`None`).
+        weight (torch.Tensor, optional): A weight vector, denoting the strength
+            of the assignment of a node to its cluster. (default: :obj:`None`)
     """
     node_index: Tensor
     cluster_index: Tensor
     num_clusters: int
     weight: Optional[Tensor] = None
 
+    def __init__(
+        self,
+        node_index: Tensor,
+        cluster_index: Tensor,
+        num_clusters: int,
+        weight: Optional[Tensor] = None,
+    ):
+        if node_index.dim() != 1:
+            raise ValueError(f"Expected 'node_index' to be one-dimensional "
+                             f"(got {node_index.dim()} dimensions)")
+
+        if cluster_index.dim() != 1:
+            raise ValueError(f"Expected 'cluster_index' to be one-dimensional "
+                             f"(got {cluster_index.dim()} dimensions)")
+
+        if node_index.numel() != cluster_index.numel():
+            raise ValueError(f"Expected 'node_index' and 'cluster_index' to "
+                             f"hold the same number of values (got "
+                             f"{node_index.numel()} and "
+                             f"{cluster_index.numel()} values)")
+
+        if weight is not None and weight.dim() != 1:
+            raise ValueError(f"Expected 'weight' vector to be one-dimensional "
+                             f"(got {weight.dim()} dimensions)")
+
+        if weight is not None and weight.numel() != node_index.numel():
+            raise ValueError(f"Expected 'weight' to hold {node_index.numel()} "
+                             f"values (got {weight.numel()} values)")
+
+        self.node_index = node_index
+        self.cluster_index = cluster_index
+        self.num_clusters = num_clusters
+        self.weight = weight
+
 
 class Select(torch.nn.Module):
-    r"""An abstract base class implementing custom node selections that map the
-    nodes of an input graph to supernodes of the pooled one.
+    r"""An abstract base class for implementing custom node selections as
+    described in the `"Understanding Pooling in Graph Neural Networks"
+    <https://arxiv.org/abs/1905.05178>`_ paper, which maps the nodes of an
+    input graph to supernodes in the coarsened graph.
 
-    Specifically, :class:`Select` returns a mapping
-    :math:`\mathbf{c} \in {\{ -1, \ldots, C - 1\}}^N`, which assigns each node
-    to one of :math:`C` super nodes.
-    In addition, :class:`Select` returns the number of super nodes.
+    Specifically, :class:`Select` returns a :class:`SelectOutput` output, which
+    holds a (sparse) mapping :math:`\mathbf{C} \in {[0, 1]}^{N \times C}` that
+    assigns selected nodes to one or more of :math:`C` super nodes.
     """
     def reset_parameters(self):
+        r"""Resets all learnable parameters of the module."""
         pass
 
-    def forward(
-        self,
-        x: Tensor,
-        edge_index: Tensor,
-        edge_attr: Optional[Tensor] = None,
-        batch: Optional[Tensor] = None,
-    ) -> SelectOutput:
-        r"""
-        Args:
-            x (torch.Tensor): The input node features.
-            edge_index (torch.Tensor): The edge indices.
-            edge_attr (torch.Tensor, optional): The edge features.
-                (default: :obj:`None`)
-            batch (torch.Tensor, optional): The batch vector
-                :math:`\mathbf{b} \in {\{ 0, \ldots, B-1\}}^N`, which assigns
-                each node to a specific graph. (default: :obj:`None`)
-        """
+    def forward(self, *args, **kwargs) -> SelectOutput:
         raise NotImplementedError
 
     def __repr__(self) -> str: