Attending to Graph Transformers

Fuente: arXiv
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Hauptverfasser: Müller, Luis, Galkin, Mikhail, Morris, Christopher, Rampášek, Ladislav
Format: Preprint
Veröffentlicht: 2023
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author Müller, Luis
Galkin, Mikhail
Morris, Christopher
Rampášek, Ladislav
author_facet Müller, Luis
Galkin, Mikhail
Morris, Christopher
Rampášek, Ladislav
contents Recently, transformer architectures for graphs emerged as an alternative to established techniques for machine learning with graphs, such as (message-passing) graph neural networks. So far, they have shown promising empirical results, e.g., on molecular prediction datasets, often attributed to their ability to circumvent graph neural networks' shortcomings, such as over-smoothing and over-squashing. Here, we derive a taxonomy of graph transformer architectures, bringing some order to this emerging field. We overview their theoretical properties, survey structural and positional encodings, and discuss extensions for important graph classes, e.g., 3D molecular graphs. Empirically, we probe how well graph transformers can recover various graph properties, how well they can deal with heterophilic graphs, and to what extent they prevent over-squashing. Further, we outline open challenges and research direction to stimulate future work. Our code is available at https://github.com/luis-mueller/probing-graph-transformers.
format Preprint
id arxiv_https___arxiv_org_abs_2302_04181
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Attending to Graph Transformers
Müller, Luis
Galkin, Mikhail
Morris, Christopher
Rampášek, Ladislav
Machine Learning
Artificial Intelligence
Neural and Evolutionary Computing
Recently, transformer architectures for graphs emerged as an alternative to established techniques for machine learning with graphs, such as (message-passing) graph neural networks. So far, they have shown promising empirical results, e.g., on molecular prediction datasets, often attributed to their ability to circumvent graph neural networks' shortcomings, such as over-smoothing and over-squashing. Here, we derive a taxonomy of graph transformer architectures, bringing some order to this emerging field. We overview their theoretical properties, survey structural and positional encodings, and discuss extensions for important graph classes, e.g., 3D molecular graphs. Empirically, we probe how well graph transformers can recover various graph properties, how well they can deal with heterophilic graphs, and to what extent they prevent over-squashing. Further, we outline open challenges and research direction to stimulate future work. Our code is available at https://github.com/luis-mueller/probing-graph-transformers.
title Attending to Graph Transformers
topic Machine Learning
Artificial Intelligence
Neural and Evolutionary Computing
url https://arxiv.org/abs/2302.04181