Search Results - "Ben Arous, Gérard"

Spectral Gap Estimates in Mean Field Spin Glasses by Ben Arous, Gérard, Jagannath, Aukosh

“…We show that mixing for local, reversible dynamics of mean field spin glasses is exponentially slow in the low temperature regime. We introduce a notion of…”
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Landscape complexity beyond invariance and the elastic manifold by Ben Arous, Gérard, Bourgade, Paul, McKenna, Benjamin

“…This paper characterizes the annealed, topological complexity (both of total critical points and of local minima) of the elastic manifold. This classical model…”
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Long random matrices and tensor unfolding by Ben Arous, Gérard, Huang, Daniel Zhengyu, Huang, Jiaoyang

“…In this paper, we consider the singular values and singular vectors of low rank perturbations of large rectangular random matrices, in the regime the matrix is…”
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Bounding Flows for Spherical Spin Glass Dynamics by Ben Arous, Gérard, Gheissari, Reza, Jagannath, Aukosh

“…We introduce a new approach to studying spherical spin glass dynamics based on differential inequalities for one-time observables. Using this approach, we…”
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Phase Transition of the Largest Eigenvalue for Nonnull Complex Sample Covariance Matrices by Baik, Jinho, Ben Arous, Gérard, Péché, Sandrine

“…We compute the limiting distributions of the largest eigenvalue of a complex Gaussian sample covariance matrix when both the number of samples and the number…”
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EXTREME GAPS BETWEEN EIGENVALUES OF RANDOM MATRICES by Ben Arous, Gérard, Bourgade, Paul

“…This paper studies the extreme gaps between eigenvalues of random matrices. We give the joint limiting law of the smallest gaps for Haar-distributed unitary…”
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Lyons-Pemantle-Peres Monotonicity Problem for High Biases by Ben Arous, Gérard, Fribergh, Alexander, Sidoravicius, Vladas

“…The speed v(β) of a β‐biased random walk on a Galton‐Watson tree without leaves is increasing for β ≥ 1160. © 2014 Wiley Periodicals, Inc…”
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Scaling limit for the ant in a simple high-dimensional labyrinth by Ben Arous, Gérard, Cabezas, Manuel, Fribergh, Alexander

“…We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk in Z d converges to the Brownian motion…”
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Randomly biased walks on subcritical trees by Ben Arous, Gérard, Hammond, Alan

“…As a model of trapping by biased motion in random structure, we study the time taken for a biased random walk to return to the root of a subcritical…”
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Universality and extremal aging for dynamics of spin glasses on subexponential time scales by Ben Arous, Gérard, Gün, Onur

“…We consider random hopping time (RHT) dynamics of the Sherrington‐Kirkpatrick (SK) model and p‐spin models of spin glasses. For any of these models and for any…”
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The arcsine law as a universal aging scheme for trap models by Arous, Gérard Ben, Černý, Jiří

“…We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on conditions on the potential theory of…”
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Preface: From the Director by Ben Arous, Gérard

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Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime by Arous, Gérard Ben, Subag, Eliran, Zeitouni, Ofer

“…We study the Gibbs measure of mixed spherical p‐spin glass models at low temperature, in (part of) the 1‐RSB regime, including, in particular, models close to…”
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The Landscape of the Spiked Tensor Model by Arous, Gérard Ben, Mei, Song, Montanari, Andrea, Nica, Mihai

“…We consider the problem of estimating a large rank‐one tensor u⊗k ∈ (ℝn)⊗k, k ≥ 3, in Gaussian noise. Earlier work characterized a critical signal‐to‐noise…”
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Cugliandolo-Kurchan equations for dynamics of Spin-Glasses by BEN AROUS, Gérard, DEMBO, Amir, GUIONNET, Alice

“…We study the Langevin dynamics for the family of spherical p-spin disordered mean-field models of statistical physics. We prove that in the limit of system…”
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ALGORITHMIC THRESHOLDS FOR TENSOR PCA by Arous, Gérard Ben, Gheissari, Reza, Jagannath, Aukosh

“…We study the algorithmic thresholds for principal component analysis of Gaussian k-tensors with a planted rank-one spike, via Langevin dynamics and gradient…”
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Counting equilibria of large complex systems by instability index by Arous, Gérard Ben, Fyodorov, Yan V., Khoruzhenko, Boris A.

“…We consider a nonlinear autonomous system of N ≫ 1 degrees of freedom randomly coupled by both relaxational (“gradient”) and nonrelaxational (“solenoidal”)…”
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Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions by Ros, Valentina, Ben Arous, Gerard, Biroli, Giulio, Cammarota, Chiara

“…We study rough high-dimensional landscapes in which an increasingly stronger preference for a given configuration emerges. Such energy landscapes arise in…”
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Random Matrices and Complexity of Spin Glasses by Auffinger, Antonio, Arous, Gérard Ben, Černý, Jiří

“…We give an asymptotic evaluation of the complexity of spherical p‐spin spin glass models via random matrix theory. This study enables us to obtain detailed…”
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High‐dimensional limit theorems for SGD: Effective dynamics and critical scaling by Arous, Gérard Ben, Gheissari, Reza, Jagannath, Aukosh

“…We study the scaling limits of stochastic gradient descent (SGD) with constant step‐size in the high‐dimensional regime. We prove limit theorems for the…”
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