Marcin Wnuk

activity

20192026

most citedOn Negatively Dependent Sampling Schemes, Variance Reduction, and Probabilistic Upper Discrepancy Bounds

12 citations · 26 across the 10 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.NA2023

Randomized approximation of summable sequences -- adaptive and non-adaptive

Robert Kunsch, Erich Novak, Marcin Wnuk

We prove lower bounds for the randomized approximation of the embedding $ℓ_{1}^{m} \to ℓ_{\infty}^{m}$ based on algorithms that use arbitrary linear (hence non-adaptive) info…

math.NA2023

Infinite-Variate $L^{2}$ -Approximation with Nested Subspace Sampling

Kumar Harsha, Michael Gnewuch, Marcin Wnuk

We consider $L^{2}$ -approximation on weighted reproducing kernel Hilbert spaces of functions depending on infinitely many variables. We focus on unrestricted linear information, admi…

Randomized approximation of summable sequences -- adaptive and non-adaptive

Infinite-Variate L2-Approximation with Nested Subspace Sampling

Infinite-Variate $L^{2}$ -Approximation with Nested Subspace Sampling