47 citations · 244 across the 61 of their papers we have counts for
68 papers
Universal consistency of the -NN rule in metric spaces and Nagata dimension. II
Sushma Kumari, Vladimir G. Pestov
We continue to investigate the nearest neighbour (-NN) learning rule in complete separable metric spaces. Thanks to the results of Cérou and Guyader (2006) and Preiss (1983)…
On invariant means and pre-syndetic subgroups
Vladimir G. Pestov, Friedrich Martin Schneider
Beyond the locally compact case, equivalent notions of amenability diverge, and some properties no longer hold, for instance amenability is not inherited by topological subgroups.…
A universally consistent learning rule with a universally monotone error
Vladimir Pestov
We present a universally consistent learning rule whose expected error is monotone non-increasing with the sample size under every data distribution. The question of existence of s…
On epimorphisms in some categories of infinite-dimensional Lie groups
Vladimir G. Pestov, Vladimir V. Uspenskij
Let be a smooth compact connected manifold. Let $G=\mbox{Diff}\, X$ be the group of diffeomorphisms of , equipped with the -topology, and let be the stabilizer…
An amenability-like property of finite energy path and loop groups
Vladimir Pestov
We show that the groups of finite energy loops and paths (that is, those of Sobolev class ) with values in a compact connected Lie group, as well as their central extensions,…
A note on the groups of finite type and the Hartman-Mycielski construction
Vladimir Pestov
Ando, Matsuzawa, Thom, and Törnquist have resolved a problem by Sorin Popa by constructing an example of a Polish group of unitary operators with the strong operator topology, whos…