math.NA · 2026-08-18 · No. 88
Numerical Analysis, 2026-08-18.
1 new papers in math.NA. Titles, authors,
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01 — The papers
1 entries-
01
Asymptotics-guided learning and symbolic regression for dispersive resonances
Konstantinos Alexopoulos, Josselin Garnier
math.NA · cs.LG · math-ph · math.AP · physics.optics
We study resonance prediction in dispersive media, formulated as nonlinear spectral problems for volume integral operators. The main idea is to use asymptotic analysis not only as a baseline approximation, but also as a guide for constructing predictive correction models. We learn the residual between asymptotic and reference resonances using features suggested by the subwavelength expansion, including the logarithmic scales specific to two...
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