V. Koltchinskii

activity

20042024

most cited2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization

379 citations · 1.2k across the 30 of their papers we have counts for

collaborators

Showing 2006 · math.PRShow all

3 papers · 2 filters

math.PR2006★ 131 cited

Empirical graph Laplacian approximation of Laplace--Beltrami operators: Large sample results

Evarist Giné, Vladimir Koltchinskii

Let $M$ be a compact Riemannian submanifold of $R^{m}$ of dimension $d$ and let $X_{1}, ..., X_{n}$ be a sample of i.i.d. points in $M$ with uniform distributio…

math.PR2006

High Dimensional Probability

Evarist Giné, Vladimir Koltchinskii, Wenbo Li +1

About forty years ago it was realized by several researchers that the essential features of certain objects of Probability theory, notably Gaussian processes and limit theorems, ma…

math.PR2006★ 122 cited

Concentration inequalities and asymptotic results for ratio type empirical processes

Evarist Giné, Vladimir Koltchinskii

Let $F$ be a class of measurable functions on a measurable space $(S, S)$ with values in $[0, 1]$ and let \[P_n=n^{-1}\sum_{i=1}^nδ_{X_i}\] be the empirical measu…