Message passing all the way up

02/22/2022
by   Petar Veličković, et al.
0

The message passing framework is the foundation of the immense success enjoyed by graph neural networks (GNNs) in recent years. In spite of its elegance, there exist many problems it provably cannot solve over given input graphs. This has led to a surge of research on going "beyond message passing", building GNNs which do not suffer from those limitations – a term which has become ubiquitous in regular discourse. However, have those methods truly moved beyond message passing? In this position paper, I argue about the dangers of using this term – especially when teaching graph representation learning to newcomers. I show that any function of interest we want to compute over graphs can, in all likelihood, be expressed using pairwise message passing – just over a potentially modified graph, and argue how most practical implementations subtly do this kind of trick anyway. Hoping to initiate a productive discussion, I propose replacing "beyond message passing" with a more tame term, "augmented message passing".

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/30/2020

Understanding the Message Passing in Graph Neural Networks via Power Iteration

The mechanism of message passing in graph neural networks(GNNs) is still...
research
03/08/2023

A Message Passing Perspective on Learning Dynamics of Contrastive Learning

In recent years, contrastive learning achieves impressive results on sel...
research
05/11/2023

E(n) Equivariant Message Passing Simplicial Networks

This paper presents E(n) Equivariant Message Passing Simplicial Networks...
research
03/09/2023

Structure-Aware Group Discrimination with Adaptive-View Graph Encoder: A Fast Graph Contrastive Learning Framework

Albeit having gained significant progress lately, large-scale graph repr...
research
08/07/2018

Message Passing Graph Kernels

Graph kernels have recently emerged as a promising approach for tackling...
research
03/23/2022

ShareTrace: Contact Tracing with Asynchronous, Parallel Message Passing on a Temporal Graph

Proximity-based contact tracing relies on user device interaction to est...
research
05/01/2019

How to Color a French Flag--Biologically Inspired Algorithms for Scale-Invariant Patterning

In the French flag problem, initially uncolored cells on a grid must dif...

Please sign up or login with your details

Forgot password? Click here to reset