From Message-Passing to Linearized Graph Sequence Models

Fuente: arXiv
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Autori principali: Mathys, Joël, Rohner, Basil, Peltonen, Saku, Wattenhofer, Roger
Natura: Preprint
Pubblicazione: 2026
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author Mathys, Joël
Rohner, Basil
Peltonen, Saku
Wattenhofer, Roger
author_facet Mathys, Joël
Rohner, Basil
Peltonen, Saku
Wattenhofer, Roger
contents Message-passing based approaches form the default backbone of most learning architectures on graph-structured data. However, the rapid progress of modern deep learning architectures in other domains, particularly sequence modeling, raises the question of how graph learning can benefit from these advances. We introduce Linearized Graph Sequence Models, a framework that recasts message-passing graph computation from the perspective of sequence modeling to simplify architectural choices. Our approach systematically separates the computational processing depth from the information propagation depth, allowing core graph architectural decisions to be treated as sequence modeling choices. Specifically, we analyze, both empirically and theoretically, what sequence properties make methods effective for learning and preserving the graph inductive bias. In particular, we validate our findings, demonstrating improved performance on long-range information tasks in graphs. Our findings provide a principled way to integrate modern sequence modeling advances into message-passing based graph learning. Beyond this, our work demonstrates how the separation of processing and information depth can recast central architectural questions as input modeling choices.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12358
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle From Message-Passing to Linearized Graph Sequence Models
Mathys, Joël
Rohner, Basil
Peltonen, Saku
Wattenhofer, Roger
Machine Learning
Message-passing based approaches form the default backbone of most learning architectures on graph-structured data. However, the rapid progress of modern deep learning architectures in other domains, particularly sequence modeling, raises the question of how graph learning can benefit from these advances. We introduce Linearized Graph Sequence Models, a framework that recasts message-passing graph computation from the perspective of sequence modeling to simplify architectural choices. Our approach systematically separates the computational processing depth from the information propagation depth, allowing core graph architectural decisions to be treated as sequence modeling choices. Specifically, we analyze, both empirically and theoretically, what sequence properties make methods effective for learning and preserving the graph inductive bias. In particular, we validate our findings, demonstrating improved performance on long-range information tasks in graphs. Our findings provide a principled way to integrate modern sequence modeling advances into message-passing based graph learning. Beyond this, our work demonstrates how the separation of processing and information depth can recast central architectural questions as input modeling choices.
title From Message-Passing to Linearized Graph Sequence Models
topic Machine Learning
url https://arxiv.org/abs/2605.12358