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Mathematics

D-Index
42
Citations
10326
World Ranking
1758
National Ranking
753

Overview

Shahar Mendelson is affiliated with the Australian National University in Australia and has contributed extensively to the fields of mathematics and computer science. Their research encompasses a broad spectrum of topics, primarily focusing on mathematical and statistical methods with applications in computer science.

The main fields of study for Mendelson include:

  • Mathematics
  • Computer Science

Their work is further specialized into several subfields:

  • Statistics and Probability
  • Applied Mathematics
  • Artificial Intelligence
  • Computational Mechanics
  • Signal Processing

Mendelson's research covers a range of main topics such as:

  • Point processes and geometric inequalities
  • Sparse and Compressive Sensing Techniques
  • Statistical Methods and Inference
  • Random Matrices and Applications
  • Markov Chains and Monte Carlo Methods
  • Bayesian Methods and Mixture Models
  • Blind Source Separation Techniques

They have produced multiple publications across various venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • The Annals of Statistics
  • Journal of the European Mathematical Society
  • The Annals of Applied Probability

Selected recent papers by Shahar Mendelson include:

  • Robust covariance estimation under L4-L2 norm equivalence, 2020, The Annals of Statistics
  • Robust multivariate mean estimation: The optimality of trimmed mean, 2021, The Annals of Statistics
  • Non-Gaussian hyperplane tessellations and robust one-bit compressed sensing, 2021, Journal of the European Mathematical Society
  • Robust one-bit compressed sensing with partial circulant matrices, 2023, The Annals of Applied Probability
  • Approximating L unit balls via random sampling, 2021, Advances in Mathematics

Frequent co-authors in Mendelson's work include:

  • Daniel Bartl
  • Sjoerd Dirksen
  • Gábor Lugosi
  • Alexander Stollenwerk
  • Nikita Zhivotovskiy

Best Publications

  • Rademacher and gaussian complexities: risk bounds and structural results

    Peter L. Bartlett;Shahar Mendelson

  • Local Rademacher complexities

    Peter L. Bartlett;Olivier Bousquet;Shahar Mendelson

  • Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles

    Shahar Mendelson;Shahar Mendelson;Alain Pajor;Nicole Tomczak-Jaegermann

  • Learning without Concentration

    Shahar Mendelson

  • Empirical minimization

    Peter L. Bartlett;Shahar Mendelson

  • Suprema of Chaos Processes and the Restricted Isometry Property

    Felix Krahmer;Shahar Mendelson;Holger Rauhut

  • A few notes on statistical learning theory

    Shahar Mendelson

  • RECONSTRUCTION AND SUBGAUSSIAN OPERATORS IN ASYMPTOTIC GEOMETRIC ANALYSIS

    Shahar Mendelson;Shahar Mendelson;Alain Pajor;Nicole Tomczak-Jaegermann

  • A probabilistic approach to the geometry of the ℓᵨⁿ-ball

    Franck Barthe;Olivier Guedon;Shahar Mendelson;Assaf Naor

  • Phase retrieval: Stability and recovery guarantees☆

    Yonina C. Eldar;Shahar Mendelson

  • Bounding the Smallest Singular Value of a Random Matrix Without Concentration

    Vladimir Koltchinskii;Shahar Mendelson

  • Improving the sample complexity using global data

    S. Mendelson

  • Complexity measures of sign matrices

    Nati Linial;Shahar Mendelson;Gideon Schechtman;Adi Shraibman

  • Regularization in kernel learning

    Shahar Mendelson;Joseph Neeman

  • Mean Estimation and Regression Under Heavy-Tailed Distributions: A Survey

    Gábor Lugosi;Gábor Lugosi;Shahar Mendelson;Shahar Mendelson

  • Empirical processes and random projections

    B Klartag;Shahar Mendelson

  • Localized Rademacher Complexities

    Peter L. Bartlett;Olivier Bousquet;Shahar Mendelson

  • Geometric Parameters of Kernel Machines

    Shahar Mendelson

  • Sub-Gaussian estimators of the mean of a random vector

    Gábor Lugosi;Shahar Mendelson

  • A probabilistic approach to the geometry of the ll_p^n-ball

    Franck Barthe;Olivier Guedon;Shahar Mendelson;Assaf Naor

  • Local Rademacher complexities and oracle inequalities in risk minimization

    Peter L Bartlett;Shahar Mendelson

Frequent Co-Authors

Gábor Lugosi
Gábor Lugosi Pompeu Fabra University
Alain Pajor
Alain Pajor Université Paris Cité
Nicole Tomczak-Jaegermann
Nicole Tomczak-Jaegermann University of Alberta
Peter L. Bartlett
Peter L. Bartlett University of California, Berkeley
Holger Rauhut
Holger Rauhut RWTH Aachen University
Roman Vershynin
Roman Vershynin University of California, Irvine
Vladimir Koltchinskii
Vladimir Koltchinskii Georgia Institute of Technology
Olivier Bousquet
Olivier Bousquet Google (United States)
Alexander J. Smola
Alexander J. Smola Amazon (United States)
Yonina C. Eldar
Yonina C. Eldar Weizmann Institute of Science

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