Mohammadreza Nehzati

Advanced Mathematical Extensions of Data Field Theory: Hyperbolic Geometry, Gauge Theory, and Higher Structures

Data Field Theory (DFT), introduced in, models learning as the evolution of a data field governed by a stochastic Ginzburg–Landau equation on a Riemannian manifold. The present work extends DFT with advanced mathematical structures: hyperbolic geometry, principal bundles, renormalization group methods, Lévy process...