math.DS · 2026-08-08 · No. 78

Dynamical Systems, 2026-08-08.

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

    Verifiable Regularity Criterion for Conditional Expectation Operators and Conditional Mean Embeddings with Applications to Nonparametric Regression, Bayesian Inverse Problems, and Koopman Operators

    Maximiliano Hertel, Ilja Klebanov, Manuel Schaller, Karl Worthmann

    math.DS · cs.LG · math.NA · math.ST · stat.ML

    Conditional expectation operators (CEOs) and their associated conditional mean embeddings (CMEs) play a central role across applied mathematics and machine learning, appearing in nonparametric regression, Bayesian inverse problems, and Koopman operator theory. A fundamental question is when a CEO maps a function space on $\mathcal{Y}$ into a prescribed function space on $\mathcal{X}$, particularly a reproducing kernel Hilbert space (RKHS). We...

    arxiv.org/abs/2608.06155 · PDF

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