Subgraph-Based Networks for Expressive, Efficient, and Domain-Independent Graph Learning
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Overview
Syllabus
Intro
Learning on graphs
Setup
Message passing Neural Networks
Color refinement (CR)
MPNNs have limited expressivity
Why expressivity matters?
Sets of subgraphs: example
Equivariant Subgraph Aggregation Networks (ESAN)
Equivariance as a design principle
Symmetry for sets of subgraphs
Detour: Deep Sets for Symmetric Elements
Equivariant layer
Subpraph selection policies
Stochastic subgraph sampling
Design choices and expressivity
Experiments
Detour: Invariant Graph Networks (IGNs)
Symmetries of node-based policies
Taught by
Centre International de Rencontres Mathématiques