math.DS · 2026-10-06 · No. 135

Dynamical Systems, 2026-10-06.

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

01 — The papers

1 entries
  1. 01

    A Response Theory Probe for Learned Stochastic AI Simulators, Tested on Lorenz-63

    João Böger, Simon Driscoll, Niccolò Zagli, Valerio Lucarini, Francisco Camara Pereira

    math.DS · cs.LG · nlin.CD

    Machine-learning emulators of chaotic and stochastic systems are usually validated on forecast skill and long-run statistics. Neither certifies that an emulator responds correctly to forcing, the property that projection and attribution studies rely on. Linear response theory makes this testable: the forced response follows from unperturbed correlations through a generalized fluctuation-dissipation relation, and decomposes over the stochastic...

    arxiv.org/abs/2610.06798 · PDF

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