SplineCNN: Fast Geometric Deep Learning with Continuous B-Spline Kernels

Code

• github.com/rusty1s/pytorch_geometric
  OfficialIn paperpytorch★ 23,596
• github.com/abhilash1910/SpectralEmbeddings
  tf★ 0
• github.com/mikel-brostrom/Deep_Spammer_Detection_GCN
  pytorch★ 0
• github.com/MikelBros/Deep_Spammer_Detection_GCN
  pytorch★ 0
• github.com/rusty1s/pytorch_spline_conv
  pytorch★ 0

Abstract

We present Spline-based Convolutional Neural Networks (SplineCNNs), a variant of deep neural networks for irregular structured and geometric input, e.g., graphs or meshes. Our main contribution is a novel convolution operator based on B-splines, that makes the computation time independent from the kernel size due to the local support property of the B-spline basis functions. As a result, we obtain a generalization of the traditional CNN convolution operator by using continuous kernel functions parametrized by a fixed number of trainable weights. In contrast to related approaches that filter in the spectral domain, the proposed method aggregates features purely in the spatial domain. In addition, SplineCNN allows entire end-to-end training of deep architectures, using only the geometric structure as input, instead of handcrafted feature descriptors. For validation, we apply our method on tasks from the fields of image graph classification, shape correspondence and graph node classification, and show that it outperforms or pars state-of-the-art approaches while being significantly faster and having favorable properties like domain-independence.

Tasks

Benchmark Results

Reproductions