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 2007Show all

3 papers · 1 filter

math.ST2007★ 29 cited

Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: nonparametric kernel estimation and hypotheses testing

Vladimir Koltchinskii, Lyudmila Sakhanenko, Songhe Cai

Let $v$ be a vector field in a bounded open set $G \subset R^{d}$ . Suppose that $v$ is observed with a random noise at random points $X_{i}, i = 1, ..., n,$ that are independent…

math.ST2007★ 9 cited

Rejoinder: 2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization

Vladimir Koltchinskii

Rejoinder: 2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization [arXiv:0708.0083]

math.ST2007★ 379 cited

2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization

Vladimir Koltchinskii

Let $F$ be a class of measurable functions $f : S \mapsto [0, 1]$ defined on a probability space $(S, A, P)$ . Given a sample (X_1,...,X_n) of i.i.d. random variables…