math.ST · 2026-08-31 · No. 101

Statistics Theory, 2026-08-31.

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

01 — The papers

1 entries
  1. 01

    Generalized Splines and Gaussian Processes

    Michael Unser

    math.ST · cs.LG · math.FA · stat.ML

    For finite-dimensional linear inverse problems where the variables are Gaussian, it is well-known that the minimum-mean-square error estimator takes the form of a regularized least-squares data fit. In this chapter, we show that this equivalence extends to a much broader infinite-dimensional setting where generalized splines take the role of linear regressors and generalized Gaussian processes on a nuclear space $S$ are the counterpart of...

    arxiv.org/abs/2608.28446 · PDF

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