Disordered Dynamics in High Dimensions: Connections to Random Matrices and Machine Learning
arXiv:2601.01010v2 Announce Type: replace-cross Abstract: We provide an overview of high dimensional dynamical systems driven by random matrices, focusing on applications to simple models of learning and generalization in machine learning theory. Using both cavity method arguments and path integrals, we review how the behavior of a coupled infinite dimensional system can be characterized as a stochastic process for each single site of the system. We provide a pedagogical treatment of dynamical mean field theory (DMFT), a framework […]