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Summary of Graph Mamba: Towards Learning on Graphs with State Space Models, by Ali Behrouz and Farnoosh Hashemi


Graph Mamba: Towards Learning on Graphs with State Space Models

by Ali Behrouz, Farnoosh Hashemi

First submitted to arxiv on: 13 Feb 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: None

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper presents a novel approach to Graph Neural Networks (GNNs) called Graph Mamba Networks (GMNs), which combines the strengths of State Space Models (SSMs) with graph-structured data. GMNs address two major limitations of traditional GNNs: over-squashing and poor capturing of long-range dependencies. The framework consists of four required steps: Neighborhood Tokenization, Token Ordering, Architecture of Bidirectional Selective SSM Encoder, and Local Encoding, as well as an optional step for Positional/Structural Encodings (SE/PE). Experimental results demonstrate the outstanding performance of GMNs on various benchmark datasets, including long-range, small-scale, large-scale, and heterophilic datasets. This work shows that complex message-passing and SE/PE are not necessary for good performance, offering a more efficient and effective alternative to traditional GNNs.
Low GrooveSquid.com (original content) Low Difficulty Summary
GMNs are a new type of Graph Neural Networks that use State Space Models (SSMs) to learn graph representations. This approach is different from traditional GNNs that use message-passing mechanisms. The authors show that GMNs can perform well on various benchmark datasets, including long-range and small-scale datasets. They also explain why their method works better than others.

Keywords

* Artificial intelligence  * Encoder  * Token  * Tokenization