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Variation Spaces for Encoder--Decoder Neural Operators: Approximation and Generalization

This story is from 2026-09-03. It is preserved in the archive; the latest stories are on the live feed.

arXiv:2606.01244v2 Announce Type: replace Abstract: Inspired by the function-space theory of neural networks, we formulate and analyze a variation space for nonlinear operators between Hilbert spaces, defined through vector-valued Borel measures of bounded variation. We characterize its unit ball a…

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  1. 2026-09-03 04:00 · arXiv stat.ML
    Variation Spaces for Encoder--Decoder Neural Operators: Approximation and Generalization

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