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On the power of adaption and randomization

Speaker(s)
Erich Novak
Affiliation
FSU Jena
Language of the talk
English
Date
May 29, 2025, 10:30 a.m.
Room
room 4070
Seminar
Seminar of Numerical Analysis Group

We present bounds between different widths of convex subsets of Banach spaces, including Gelfand and Bernstein widths, and discuss implications for the adaption problem. In particular, we obtain a bound on the maximal gain of adaptive and randomized algorithms over non-adaptive, deterministic ones for approximating linear operators on convex sets.
Joint work with David Krieg and Mario Ullrich.