graph perceptron

Data
Graph Perceptron

Let σ:RR. The graph perceptron is defined as

xRnu=k=0K1hkSkx graph convuuyσ(u)pointwise nonlinearityy

ie a graph convolution followed by a pointwise nonlinear function

yi=σ(ui)
Examples

  • σ(x)=max(0,x) ReLU
  • σ(x)=11+ex Sigmoid
  • σ(x)=tanh(x)=exexex+ex 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