Share This Author
Introduction to Nonparametric Estimation
- A. Tsybakov
- MathematicsSpringer series in statistics
- 22 October 2008
TLDR
SIMULTANEOUS ANALYSIS OF LASSO AND DANTZIG SELECTOR
- P. Bickel, Y. Ritov, A. Tsybakov
- Computer Science
- 7 January 2008
We show that, under a sparsity scenario, the Lasso estimator and the Dantzig selector exhibit similar behavior. For both methods, we derive, in parallel, oracle inequalities for the prediction risk…
Nuclear norm penalization and optimal rates for noisy low rank matrix completion
- V. Koltchinskii, A. Tsybakov, Karim Lounici
- Computer Science, Mathematics
- 29 November 2010
TLDR
Smooth Discrimination Analysis
- E. Mammen, A. Tsybakov
- Mathematics
- 1 December 1999
Discriminant analysis for two data sets in IRd with probability densities f and g can be based on the estimation of the set G = {x : f(x) I g(x)}. We consider applications where it is appropriate to…
Fast learning rates for plug-in classifiers
- Jean-Yves Audibert, A. Tsybakov
- Computer Science
- 1 April 2007
TLDR
Minimax theory of image reconstruction
- A. Korostelev, A. Tsybakov
- Mathematics
- 1993
Image processing is an increasingly important area of research and there exists a large variety of image reconstruction methods proposed by different authors. This book is concerned with a technique…
Exponential Screening and optimal rates of sparse estimation
- P. Rigollet, A. Tsybakov
- Computer Science, Mathematics
- 12 March 2010
TLDR
Oracle Inequalities and Optimal Inference under Group Sparsity
- Karim Lounici, M. Pontil, A. Tsybakov, S. Geer
- Computer Science, Mathematics
- 11 July 2010
TLDR
Optimal Rates of Aggregation
- A. Tsybakov
- Economics, Computer ScienceCOLT
- 2003
TLDR
Sparsity oracle inequalities for the Lasso
- F. Bunea, A. Tsybakov, M. Wegkamp
- Mathematics, Computer Science
- 23 May 2007
TLDR
...
...