AI RESEARCH
Rigorous Asymptotics for First-Order Algorithms Through the Dynamical Cavity Method
arXiv CS.LG
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ArXi:2603.14573v1 Announce Type: cross Dynamical Mean Field Theory (DMFT) provides an asymptotic description of the dynamics of macroscopic observables in certain disordered systems. Originally pioneered in the context of spin glasses by Sompolinsky and Zippelius, it has since been used to derive asymptotic dynamical equations for a wide range of models in physics, high-dimensional statistics and machine learning. One of the main tools used by physicists to obtain these equations is the dynamical cavity method, which has remained largely non-rigorous.