class SplineConv(in_channels: Union[int, Tuple[int, int]], out_channels: int, dim: int, kernel_size: Union[int, List[int]], is_open_spline: bool = True, degree: int = 1, aggr: str = 'mean', root_weight: bool = True, bias: bool = True, **kwargs)[source]

Bases: MessagePassing

The spline-based convolutional operator from the “SplineCNN: Fast Geometric Deep Learning with Continuous B-Spline Kernels” paper.

\[\mathbf{x}^{\prime}_i = \frac{1}{|\mathcal{N}(i)|} \sum_{j \in \mathcal{N}(i)} \mathbf{x}_j \cdot h_{\mathbf{\Theta}}(\mathbf{e}_{i,j}),\]

where \(h_{\mathbf{\Theta}}\) denotes a kernel function defined over the weighted B-Spline tensor product basis.


Pseudo-coordinates must lay in the fixed interval \([0, 1]\) for this method to work as intended.

  • in_channels (int or tuple) – Size of each input sample, or -1 to derive the size from the first input(s) to the forward method. A tuple corresponds to the sizes of source and target dimensionalities.

  • out_channels (int) – Size of each output sample.

  • dim (int) – Pseudo-coordinate dimensionality.

  • kernel_size (int or [int]) – Size of the convolving kernel.

  • is_open_spline (bool or [bool], optional) – If set to False, the operator will use a closed B-spline basis in this dimension. (default True)

  • degree (int, optional) – B-spline basis degrees. (default: 1)

  • aggr (str, optional) – The aggregation scheme to use ("add", "mean", "max"). (default: "mean")

  • root_weight (bool, optional) – If set to False, the layer will not add transformed root node features to the output. (default: True)

  • bias (bool, optional) – If set to False, the layer will not learn an additive bias. (default: True)

  • **kwargs (optional) – Additional arguments of torch_geometric.nn.conv.MessagePassing.

forward(x: Union[Tensor, Tuple[Tensor, Optional[Tensor]]], edge_index: Union[Tensor, SparseTensor], edge_attr: Optional[Tensor] = None, size: Optional[Tuple[int, int]] = None) Tensor[source]

Runs the forward pass of the module.


Resets all learnable parameters of the module.