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Mathematics

D-Index
49
Citations
9903
World Ranking
1145
National Ranking
520

Research.com Recognitions

  • 2020 - Member of the National Academy of Sciences
  • 2015 - Fellow of the American Academy of Arts and Sciences

Overview

Gérard Ben Arous is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research spans multiple fields, with primary focus areas in Mathematics, Physics and Astronomy, and Computer Science.

The subfields of Gérard Ben Arous's work include Statistics and Probability, Condensed Matter Physics, Mathematical Physics, Artificial Intelligence, and Computational Mathematics. The main topics investigated cover Theoretical and Computational Physics, Markov Chains and Monte Carlo Methods, Random Matrices and Applications, Stochastic processes and statistical mechanics, Tensor decomposition and applications, Blind Source Separation Techniques, and Stochastic Gradient Optimization Techniques.

Several recent papers showcase the scope and depth of their research:

  • "Algorithmic thresholds for tensor PCA", 2020, Project Euclid (Cornell University)
  • "Counting equilibria of large complex systems by instability index", 2021, PubMed Central
  • "High-dimensional limit theorems for SGD: Effective dynamics and critical scaling", 2023, Communications on Pure and Applied Mathematics
  • "Online stochastic gradient descent on non-convex losses from high-dimensional inference", 2020, arXiv (Cornell University)
  • "Online stochastic gradient descent on non-convex losses from high-dimensional inference", 2020, arXiv (Cornell University)

Gérard Ben Arous has collaborated frequently with the following coauthors:

  • Aukosh Jagannath
  • Reza Gheissari
  • Jiaoyang Huang
  • Paul Bourgade
  • Benjamin McKenna

Publication venues where their work appears most often include:

  • arXiv (Cornell University)
  • Communications on Pure and Applied Mathematics
  • The Annals of Applied Probability
  • Project Euclid (Cornell University)
  • PubMed Central

Recognition in their field includes election as a Member of the National Academy of Sciences in 2020 and Fellowship of the American Academy of Arts and Sciences in 2015.

Best Publications

  • The Loss Surfaces of Multilayer Networks

    Anna Choromanska;Mikael Henaff;Michael Mathieu;Gérard Ben Arous

  • The Loss Surface of Multilayer Networks.

    Anna Choromanska;Mikael Henaff;Michaël Mathieu;Gérard Ben Arous

  • Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

    Jinho Baik;Gérard Ben Arous;Sandrine Péché;Sandrine Péché

  • Large deviations for Wigner's law and Voiculescu's non-commutative entropy

    G. Ben Arous;A. Guionnet

  • Random matrices and complexity of spin glasses

    Antonio Auffinger;Gérard Ben Arous;Jiří Černý

  • Aging of spherical spin glasses

    G. Ben Arous;A. Dembo;A. Guionnet

  • Complexity of random smooth functions on the high-dimensional sphere

    Antonio Auffinger;Gerard Ben Arous

  • Flots et series de Taylor stochastiques

    Gérard Ben Arous

  • Universality of local eigenvalue statistics for some sample covariance matrices

    Gérard Ben Arous;Sandrine Péché

  • The Spectrum of Heavy Tailed Random Matrices

    Gérard Ben Arous;Gérard Ben Arous;Alice Guionnet

  • Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions

    Valentina Ros;Gerard Ben Arous;Giulio Biroli;Chiara Cammarota

  • Poisson convergence for the largest eigenvalues of heavy tailed random matrices

    Antonio Auffinger;Gérard Ben Arous;Sandrine Péché

  • Glauber Dynamics of the Random Energy Model . I. Metastable Motion on the Extreme States

    Gérard Ben Arous;Anton Bovier;Véronique Gayrard

  • Methods de laplace et de la phase stationnaire sur l'espace de wiener

    Gérard Ben Arous

  • Current fluctuations for TASEP: A proof of the Pr"{a}hofer--Spohn conjecture

    Gérard Ben Arous;Ivan Corwin

  • Scaling limit for trap models on ℤd

    Gérard Ben Arous;Jiří Černý

  • Open Problem: The landscape of the loss surfaces of multilayer networks

    Anna Choromanska;Yann LeCun;Gerard Ben Arous

  • Large deviations from the circular law

    Gérard Ben Arous;Ofer Zeitouni

  • Dynamics of trap models

    Gerard Ben Arous;Jiri Cerny

  • Comparing dynamics: deep neural networks versus glassy systems

    Marco Baity-Jesi;Marco Baity-Jesi;Levent Sagun;Levent Sagun;Mario Geiger;Stefano Spigler;Stefano Spigler

  • Développement asymptotique du noyau de la chaleur hypoelliptique sur la diagonale

    Gérard Ben Arous

  • Phase transition of the largest eigenvalue for non-null complex sample covariance matrices

    Jinho Baik;Gerard Ben Arous;Sandrine Peche

Frequent Co-Authors

Yann LeCun
Yann LeCun Facebook (United States)
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Anton Bovier
Anton Bovier University of Bonn
Alice Guionnet
Alice Guionnet École Normale Supérieure de Lyon
Allen Tannenbaum
Allen Tannenbaum Stony Brook University
Michel Ledoux
Michel Ledoux Paul Sabatier University
Charles M. Newman
Charles M. Newman Courant Institute of Mathematical Sciences
Benjamin Schlein
Benjamin Schlein University of Zurich
Amir Dembo
Amir Dembo Stanford University

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