121 citations · 140 across the 4 of their papers we have counts for
4 papers
Asymptotics of Non-Convex Generalized Linear Models in High-Dimensions: A proof of the replica formula
Matteo Vilucchio, Yatin Dandi, Matéo Pirio Rossignol +2
The analytic characterization of the high-dimensional behavior of optimization for Generalized Linear Models (GLMs) with Gaussian data has been a central focus in statistics and pr…
Rigorous dynamical mean field theory for stochastic gradient descent methods
Cedric Gerbelot, Emanuele Troiani, Francesca Mignacco +2
We prove closed-form equations for the exact high-dimensional asymptotics of a family of first order gradient-based methods, learning an estimator (e.g. M-estimator, shallow neural…
Energy gaps in quantum first-order mean-field-like transitions: The problems that quantum annealing cannot solve
T. Jorg, F. Krzakala, J. Kurchan +2
We study first-order quantum phase transitions in models where the mean-field traitment is exact, and the exponentially fast closure of the energy gap with the system size at the t…
Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" arXiv:0709.0894
Pierluigi Contucci, Cristian Giardinà, Claudio Giberti +2
This reply shows that the argument presented in the comment by Jorg and Krzakala (cond mat 0709.0894) cannot be used to weaken the results presented in our paper on ultrametricity…