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Mathematics

D-Index
62
Citations
20700
World Ranking
463
National Ranking
20

Overview

Alexandre B. Tsybakov is affiliated with the École Nationale de la Statistique et de l'Administration Économique in France. Their scholarly work broadly spans the fields of Mathematics and Computer Science, with a particular focus on subfields such as Statistics and Probability, Artificial Intelligence, Computational Mechanics, Management Science and Operations Research, and Statistical and Nonlinear Physics.

Their research covers a variety of topics, featuring prominently in areas like Statistical Methods and Inference, Sparse and Compressive Sensing Techniques, Stochastic Gradient Optimization Techniques, Advanced Bandit Algorithms Research, Complex Network Analysis Techniques, Numerical Methods in Inverse Problems, and Gaussian Processes and Bayesian Inference.

Tsybakov has contributed to numerous academic publications, including works appearing in the following venues:

  • arXiv (Cornell University)
  • The Annals of Statistics
  • Bernoulli
  • IEEE Transactions on Information Theory
  • Oberwolfach Reports

Notable recent papers include:

  • Exploiting Higher Order Smoothness in Derivative-free Optimization and Continuous Bandits, 2020, arXiv (Cornell University)
  • On estimation of nonsmooth functionals of sparse normal means, 2020, Bernoulli
  • Assigning topics to documents by successive projections, 2023, The Annals of Statistics
  • Estimation of the ℓ2-norm and testing in sparse linear regression with unknown variance, 2022, Bernoulli

Over the course of their career, Tsybakov has collaborated frequently with several researchers, including:

  • Massimiliano Pontil
  • Arya A. Akhavan
  • Suzanne Sigalla
  • Mohamed Ndaoud
  • Olivier Collier

The scope of their work integrates advanced statistical methodologies and optimization techniques, often intersecting with theoretical aspects of machine learning and signal processing.

Best Publications

  • Introduction to Nonparametric Estimation

    Alexandre B. Tsybakov

  • SIMULTANEOUS ANALYSIS OF LASSO AND DANTZIG SELECTOR

    Peter J. Bickel;Ya' Acov Ritov;Alexandre B. Tsybakov

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

    Vladimir Koltchinskii;Karim Lounici;Alexandre B. Tsybakov

  • Minimax theory of image reconstruction

    A. P. Korostelev;A. B Tsybakov

  • Smooth Discrimination Analysis

    Enno Mammen;Alexandre B. Tsybakov

  • Sparsity oracle inequalities for the Lasso

    Florentina Bunea;Alexandre Tsybakov;Marten Wegkamp

  • Estimation of high-dimensional low-rank matrices

    Angelika Rohde;Alexandre B. Tsybakov

  • Oracle Inequalities and Optimal Inference under Group Sparsity

    Karim Lounici;Massimiliano Pontil;Sara van de Geer;Alexandre B. Tsybakov

  • Aggregation for Gaussian regression

    Florentina Bunea;Alexandre B. Tsybakov;Marten H. Wegkamp

  • Fast learning rates for plug-in classifiers

    Jean-Yves Audibert;Alexandre B. Tsybakov

  • Optimal Rates of Aggregation

    Alexandre B. Tsybakov

  • Local polynomial estimators of the volatility function in nonparametric autoregression

    W. Härdle;A. Tsybakov

  • On nonparametric estimation of density level sets

    A. B. Tsybakov

  • Regularization in Statistics

    Peter J. Bickel;Bo Li;Alexandre B. Tsybakov;Sara A. van de Geer

  • Efficient Estimation of Monotone Boundaries

    A.P. Korostelev;Léopold Simar;A.B. Tsybakov

  • Introduction à l'estimation non-paramétrique

    Alexandre B. Tsybakov

  • Exponential Screening and optimal rates of sparse estimation

    Philippe Rigollet;Alexandre Tsybakov

  • Taking Advantage of Sparsity in Multi-Task Learning

    Karim Lounici;Massimiliano Pontil;Alexandre B. Tsybakov;Sara A. van de Geer

  • Sharp adaptation for inverse problems with random noise

    Laurent Cavalier;Alexandre Tsybakov

  • Oracle inequalities for inverse problems

    L. Cavalier;G. K. Golubev;D. Picard;A. B. Tsybakov

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

    Vladimir Koltchinskii;Alexandre B. Tsybakov;Karim Lounici

  • Fast learning rates for plug-in classifiers under the margin condition

    Jean-Yves Audibert;Alexandre B. Tsybakov

Frequent Co-Authors

Wolfgang Karl Härdle
Wolfgang Karl Härdle Humboldt-Universität zu Berlin
Anatoli Juditsky
Anatoli Juditsky Grenoble Alpes University
Vladimir Koltchinskii
Vladimir Koltchinskii Georgia Institute of Technology
Massimiliano Pontil
Massimiliano Pontil Italian Institute of Technology
Enno Mammen
Enno Mammen Heidelberg University
Gerard Kerkyacharian
Gerard Kerkyacharian Université Paris Cité
Peter J. Bickel
Peter J. Bickel University of California, Berkeley

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