math-ph · 2026-10-01 · No. 130

Mathematical Physics, 2026-10-01.

1 new papers in math-ph. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Cluster Attention Neural Operators for Solving Parametric Partial Differential Equations

    Ming Zhong, Antonio Colanera, Gianluigi Rozza, Zhenya Yan

    math-ph · cs.AI · cs.LG · math.DS

    Traditional simulations of parametric partial differential equations (PDEs) rely on repetitive computations for each parameter, which makes high-fidelity design impractical. Neural operators address this issue by learning solution operators, accelerating parameter-space mapping by orders of magnitude. Recent Transformer-based neural operators attempt to capture global dependencies, but often at the cost of quadratic attention complexity....

    arxiv.org/abs/2609.39914 · PDF

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