Arous, Gerard Ben

1. Phase transition of the largest eigenvalue for non-null complex sample covariance matrices
   2004/03/01 by Jinho Baik, Gérard Ben Arous, Baik, Jinho +5 · 33 citations
   Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Matrix Theory and Algorithms #Random Matrices and Applications #math.PR
2. The landscape of the spiked tensor model
   2017/11/15 by Arous, Gerard Ben, Mei, Song, Montanari, Andrea +1 · 8 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Probability (math.PR) #Statistics Theory (math.ST)
3. High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
   2022/06/08 by Gérard Ben Arous, Reza Gheissari, Arous, Gerard Ben +3 · 6 citations
   Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
4. The spectrum of heavy-tailed random matrices
   2007/07/14 by Gérard Ben Arous, Arous, Gerard Ben, Alice Guionnet +1 · 2 citations
   Mathematics · #15A52 #60E07 #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics
5. Poisson convergence for the largest eigenvalues of Heavy Tailed Random Matrices
   2007/10/16 by Auffinger, Antonio, Arous, Gerard Ben, Peche, Sandrine · 2 citations
   #15A52 #60G55 #62G32 #FOS: Mathematics #Probability (math.PR)
6. Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
   2004/09/16 by Gerard Ben Arous, Arous, Gerard Ben, Amir Dembo +3 · 1 citation
   Mathematics · Physics and Astronomy · #82C44 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #math.PR #msc:82C44
7. Dynamics of trap models
   2006/03/14 by Arous, Gerard Ben, Cerny, Jiri · 1 citation
   #FOS: Mathematics #Probability (math.PR)
8. Randomly biased walks on subcritical trees
   2011/01/20 by Gérard Ben Arous, Arous, Gerard Ben, Alan Hammond +1 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
9. Biased random walks on random graphs
   2014/06/19 by Gérard Ben Arous, Arous, Gerard Ben, Alexander Fribergh +1 · 1 citation
   Computer Science · Mathematics · #Algorithms and Data Compression #FOS: Mathematics #Limits and Structures in Graph Theory #Probability (math.PR) #Stochastic processes and statistical mechanics
10. The Free Energy of the Elastic Manifold
    2024/10/24 by Gérard Ben Arous, Pax Kivimae, Arous, Gerard Ben +1 · 2 citations
    Engineering · #Elasticity and Wave Propagation #Composite Material Mechanics #Elasticity and Material Modeling
11. The Larkin Mass and Replica Symmetry Breaking in the Elastic Manifold
    2024/10/29 by Gérard Ben Arous, Arous, Gerard Ben, Pax Kivimae +1 · 2 citations
    Engineering · #Adhesion, Friction, and Surface Interactions
12. Local geometry of high-dimensional mixture models: Effective spectral theory and dynamical transitions
    2025/02/21 by Gérard Ben Arous, Reza Gheissari, Arous, Gerard Ben +5 · 2 citations
    Computer Science · Mathematics · #Stochastic Gradient Optimization Techniques #Gaussian Processes and Bayesian Inference #Random Matrices and Applications
13. Spectral alignment of stochastic gradient descent for high-dimensional classification tasks
    2023/10/04 by Arous, Gerard Ben, Gheissari, Reza, Huang, Jiaoyang +1 · 2 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)