34 citations · 64 across the 22 of their papers we have counts for
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math.ST2021
Quasi-uniform designs with optimal and near-optimal uniformity constant
Luc Pronzato, Anatoly Zhigljavsky
A design is a collection of distinct points in a given set , which is assumed to be a compact subset of , and the mesh-ratio of a design is the ratio of its fill distance t…
math.ST2021
Reproducing kernel Hilbert spaces, polynomials and the classical moment problems
Holger Dette, Anatoly Zhigljavsky
We show that polynomials do not belong to the reproducing kernel Hilbert space of infinitely differentiable translation-invariant kernels whose spectral measures have moments corre…
math.ST2021
Random and quasi-random designs in group testing
Jack Noonan, Anatoly Zhigljavsky
For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random design…