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message: "If you use this software, please cite the associated paper."
title: "Overlapping Schwarz Attention Demo"
type: software
version: 0.1.0
date-released: 2026-07-18
authors:
- family-names: "Köhler"
given-names: "Stephan"
- family-names: "Rheinbach"
given-names: "Oliver"
license: MIT
keywords:
- attention
- domain decomposition
- overlapping Schwarz methods
- hierarchical attention
- operator learning
- machine learning
abstract: >-
A minimal interactive reference implementation of hierarchical attention
based on two-level overlapping Schwarz domain decomposition. The model
combines low-rank local attention operators on overlapping subdomains with
a coarse attention operator for global information exchange.
preferred-citation:
type: article
title: "Hierarchical Attention via Domain Decomposition"
authors:
- family-names: "Köhler"
given-names: "Stephan"
- family-names: "Rheinbach"
given-names: "Oliver"
year: 2026
doi: "10.48550/arXiv.2606.18525"
url: "https://arxiv.org/abs/2606.18525"
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