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Orthogonality, Normality: ⟨ek, ek′⟩=⟨eix⋅k, eix⋅k′ ⟩= 1 (2π) d ∫Td eikxe−ik′xdx=δ k,k′ (15) Corollary 3

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Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs

cs.LG · 2026-05-11 · unverdicted · novelty 6.0

ABLE learns a spatially adaptive Parseval frame from data via an ancillary density to replace fixed bases in spectral neural operators for PDEs.

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Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs cs.LG · 2026-05-11 · unverdicted · none · ref 34
ABLE learns a spatially adaptive Parseval frame from data via an ancillary density to replace fixed bases in spectral neural operators for PDEs.

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