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

We study rough high-dimensional landscapes in which an increasingly stronger preference for a given configuration emerges. Such energy landscapes arise in glass physics and inference. In particular, we focus on random Gaussian functions and on the spiked-tensor model and generalizations. We thorough...

Full description

Bibliographic Details
Main Authors: Valentina Ros, Gerard Ben Arous, Giulio Biroli, Chiara Cammarota
Format: Article
Language:English
Published: American Physical Society 2019-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.9.011003