graph perceptron

Data
Graph Perceptron

Let σ:R→R. The graph perceptron is defined as

x∈Rn→u=∑k=0K−1hkSkx graph conv→u→uy⋅σ(u)pointwise nonlinearity→y

ie a graph convolution followed by a pointwise nonlinear function

yi=σ(ui)
Examples

  • σ(x)=max(0,x) ReLU
  • σ(x)=11+e−x Sigmoid
  • σ(x)=tanh⁡(x)=ex−e−xex+e−x hypertangent

Mentions

File
GNNs inherit stability from their layers
multi-layer graph perceptron
2025-02-05 graphs lecture 5
2025-03-10 graphs lecture 13