5 papers
Dynamics for spherical spin glasses: Gibbs distributed initial conditions
Amir Dembo, Eliran Subag
We derive the coupled non-linear integro-differential equations for the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics at temperat…
Disordered Gibbs measures and Gaussian conditioning
Amir Dembo, Eliran Subag
We study the law of a random field evaluated at a random sample from the Gibbs measure associated to a Gaussian field . In the high-tempera…
Geometry of spherical spin glasses
Eliran Subag
Spherical spin glasses are canonical models for smooth random functions in high dimensions. In this review, we survey several interrelated lines of research on their geometric stru…
On Smale's 17th problem over the reals
Andrea Montanari, Eliran Subag
We consider the problem of efficiently solving a system of non-linear equations in . Addressing Smale's 17th problem stated in 1998, we consider a setting whereb…
Solving systems of Random Equations via First and Second-Order Optimization Algorithms
Andrea Montanari, Eliran Subag
We revisit the problem of solving random equations in real variables, when the equations are independent realizations of a Gaussian process in dimensions. A special cas…