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1

Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance

Koltchinskii, Vladimir, Lounici, Karim

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2016

File:

PDF, 402 KB

2016

2

Local Rademacher Complexities and Oracle Inequalities in Risk Minimization

Vladimir Koltchinskii

Journal:

The Annals of Statistics

Year:

2006

Language:

english

File:

PDF, 4.85 MB

english, 2006

3

Concentration inequalities and moment bounds for sample covariance operators

Koltchinskii, Vladimir, Lounici, Karim

Journal:

Year:

2017

Language:

english

File:

PDF, 190 KB

english, 2017

4

Selected Works of R.M. Dudley Volume 670 || On seminorms and probabilities, and abstract Wiener spaces

Giné, Evarist, Koltchinskii, Vladimir, Norvaisa, Rimas

Year:

2010

File:

PDF, 3.52 MB

2010

5

Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion

Koltchinskii, Vladimir, Lounici, Karim, Tsybakov, Alexandre B.

Journal:

The Annals of Statistics

Year:

2011

Language:

english

File:

PDF, 294 KB

english, 2011

6

NUCLEAR-NORM PENALIZATION AND OPTIMAL RATES FOR NOISY LOW-RANK MATRIX COMPLETION

Vladimir Koltchinskii, Karim Lounici and Alexandre B. Tsybakov

Journal:

The Annals of Statistics

Year:

2011

Language:

english

File:

PDF, 1.78 MB

english, 2011

7

Sparse Recovery Problems in High Dimensions: Statistical Inference and Learning Theory

Bartlett, Peter, Koltchinskii, Vladimir, Tsybakov, Alexandre, van de Geer, Sara

Journal:

Oberwolfach Reports

Year:

2009

Language:

english

File:

PDF, 495 KB

english, 2009

8

Bounds on margin distributions in learning problems

Vladimir Koltchinskii

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2003

File:

PDF, 258 KB

2003

9

Kernel density estimators: convergence in distribution for weighted sup-norms

Evarist Giné, Vladimir Koltchinskii, Lyudmila Sakhanenko

Journal:

Probability Theory and Related Fields

Year:

2004

Language:

english

File:

PDF, 284 KB

english, 2004

10

Differentiability of Inverse Operators and Limit Theorems for Inverse Functions

Vladimir I. Koltchinskii

Journal:

Journal of Theoretical Probability

Year:

1998

Language:

english

File:

PDF, 1.86 MB

english, 1998

11

Komlos-Major-Tusnady approximation for the general empirical process and Haar expansions of classes of functions

Vladimir I. Koltchinskii

Journal:

Journal of Theoretical Probability

Year:

1994

Language:

english

File:

PDF, 1.42 MB

english, 1994

12

Random Matrix Approximation of Spectra of Integral Operators

Vladimir Koltchinskii and Evarist Giné

Journal:

Year:

2000

Language:

english

File:

PDF, 3.59 MB

english, 2000

13

fMRI pattern classification using neuroanatomically constrained boosting

Manel Martínez-Ramón, Vladimir Koltchinskii, Gregory L. Heileman, Stefan Posse

Journal:

Year:

2006

Language:

english

File:

PDF, 1.04 MB

english, 2006

14

Selected Works of R.M. Dudley || Introduction

Giné, Evarist, Koltchinskii, Vladimir, Norvaisa, Rimas

Year:

2010

Language:

english

File:

PDF, 1.44 MB

english, 2010

15

Discussion: “Generic chaining and the -penalty” by Sara van de Geer

Koltchinskii, Vladimir

Journal:

Journal of Statistical Planning and Inference

Year:

2013

Language:

english

File:

PDF, 145 KB

english, 2013

16

Three Papers on Boosting: An Introduction

Vladimir Koltchinskii and Bin Yu

Journal:

The Annals of Statistics

Year:

2004

Language:

english

File:

PDF, 177 KB

english, 2004

17

Selected Works of R.M. Dudley ||

Giné, Evarist, Koltchinskii, Vladimir, Norvaisa, Rimas

Year:

2010

Language:

english

File:

PDF, 38.66 MB

english, 2010

18

High Dimensional Probability || Empirical Graph Laplacian Approximation of Laplace-Beltrami Operators: Large Sample Results

Evarist Giné and Vladimir Koltchinskii

Journal:

IMS Lecture Notes--Monograph Series

Year:

2006

Language:

english

File:

PDF, 1.79 MB

english, 2006

19

Von Neumann entropy penalization and low-rank matrix estimation

Koltchinskii, Vladimir

Journal:

The Annals of Statistics

Year:

2011

Language:

english

File:

PDF, 369 KB

english, 2011

20

Concentration Inequalities and Asymptotic Results for Ratio Type Empirical Processes

Evarist Giné and Vladimir Koltchinskii

Journal:

The Annals of Probability

Year:

2006

Language:

english

File:

PDF, 4.79 MB

english, 2006

21

Selected Works of R.M. Dudley || Measures on Non-Separable Metric Spaces

Giné, Evarist, Koltchinskii, Vladimir, Norvaisa, Rimas

Year:

2010

File:

PDF, 1.79 MB

2010

22

SPARSITY IN MULTIPLE KERNEL LEARNING

Vladimir Koltchinskii and Ming Yuan

Journal:

The Annals of Statistics

Year:

2010

Language:

english

File:

PDF, 2.06 MB

english, 2010

23

Bounding the Generalization Error of Convex Combinations of Classifiers: Balancing the Dimensionality and the Margins

Vladimir Koltchinskii, Dmitriy Panchenko and Fernando Lozano

Journal:

The Annals of Applied Probability

Year:

2003

Language:

english

File:

PDF, 823 KB

english, 2003

24

Rejoinder: Local Rademacher Complexities and Oracle Inequalities in Risk Minimization

Vladimir Koltchinskii

Journal:

The Annals of Statistics

Year:

2006

Language:

english

File:

PDF, 1.01 MB

english, 2006

25

B || Weighted Uniform Consistency of Kernel Density Estimators

Evarist Giné, Vladimir Koltchinskii and Joel Zinn

Journal:

The Annals of Probability

Year:

2004

Language:

english

File:

PDF, 2.67 MB

english, 2004

26

Sparse Recovery in Convex Hulls via Entropy Penalization

Vladimir Koltchinskii

Journal:

The Annals of Statistics

Year:

2009

Language:

english

File:

PDF, 1.46 MB

english, 2009

27

The Dantzig selector and sparsity oracle inequalities

VLADIMIR KOLTCHINSKII

Journal:

Year:

2009

Language:

english

File:

PDF, 1.55 MB

english, 2009

28

Integral Curves of Noisy Vector Fields and Statistical Problems in Diffusion Tensor Imaging: Nonparametric Kernel Estimation and Hypotheses Testing

Vladimir Koltchinskii, Lyudmila Sakhanenko and Songhe Cai

Journal:

The Annals of Statistics

Year:

2007

Language:

english

File:

PDF, 2.58 MB

english, 2007

29

VON NEUMANN ENTROPY PENALIZATION AND LOW-RANK MATRIX ESTIMATION

Vladimir Koltchinskii

Journal:

The Annals of Statistics

Year:

2011

Language:

english

File:

PDF, 2.29 MB

english, 2011

30

Bounding the Smallest Singular Value of a Random Matrix Without Concentration

Koltchinskii, Vladimir, Mendelson, Shahar

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 174 KB

english, 2015

31

In Memoriam: Evarist Giné

Koltchinskii, Vladimir, Nickl, Richard, van de Geer, Sara, Wellner, Jon

Journal:

Stochastic Processes and their Applications

Year:

2016

Language:

english

File:

PDF, 169 KB

english, 2016

32

[Consistency in Boosting]: Discussion

Vladimir Koltchinskii

Journal:

The Annals of Statistics

Year:

2004

Language:

english

File:

PDF, 839 KB

english, 2004

33

Complexities of Convex Combinations and Bounding the Generalization Error in Classification

Vladimir Koltchinskii and Dmitry Panchenko

Journal:

The Annals of Statistics

Year:

2005

Language:

english

File:

PDF, 3.48 MB

english, 2005

34

The mathematical work of Evarist Giné

Koltchinskii, Vladimir, Nickl, Richard, van de Geer, Sara, Wellner, Jon A.

Journal:

Stochastic Processes and their Applications

Year:

2016

Language:

english

File:

PDF, 368 KB

english, 2016

35

Sparsity in penalized empirical risk minimization

Koltchinskii, Vladimir

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2009

File:

PDF, 472 KB

2009

36

Rejoinder: Local Rademacher complexities and oracle inequalities in risk minimization

Koltchinskii, Vladimir

Journal:

The Annals of Statistics

Year:

2006

Language:

english

File:

PDF, 101 KB

english, 2006

37

Sparsity in multiple kernel learning

Koltchinskii, Vladimir, Yuan, Ming

Journal:

The Annals of Statistics

Year:

2010

Language:

english

File:

PDF, 303 KB

english, 2010

38

Normal approximation and concentration of spectral projectors of sample covariance

Koltchinskii, Vladimir, Lounici, Karim

Journal:

The Annals of Statistics

Year:

2017

Language:

english

File:

PDF, 402 KB

english, 2017

39

Estimation of low rank density matrices: Bounds in Schatten norms and other distances

Xia, Dong, Koltchinskii, Vladimir

Journal:

Electronic Journal of Statistics

Year:

2016

Language:

english

File:

PDF, 363 KB

english, 2016

40

New Asymptotic Results in Principal Component Analysis

Koltchinskii, Vladimir, Lounici, Karim

Journal:

Year:

2017

Language:

english

File:

PDF, 560 KB

english, 2017

41

Applications of Statistical-Learning Methods in Systems and Control

Ariola, Marco, Abdallah, Chaouki T., Koltchinskii, Vladimir

Journal:

IFAC Proceedings Volumes

Year:

2001

Language:

english

File:

PDF, 625 KB

english, 2001

42

Local Rademacher complexities and oracle inequalities in risk minimization

Koltchinskii, Vladimir

Journal:

The Annals of Statistics

Year:

2006

Language:

english

File:

PDF, 551 KB

english, 2006

43

Concentration inequalities and asymptotic results for ratio type empirical processes

Giné, Evarist, Koltchinskii, Vladimir

Journal:

The Annals of Probability

Year:

2006

Language:

english

File:

PDF, 617 KB

english, 2006

44

Complexities of convex combinations and bounding the generalization error in classification

Koltchinskii, Vladimir, Panchenko, Dmitry

Journal:

The Annals of Statistics

Year:

2005

Language:

english

File:

PDF, 283 KB

english, 2005