Least-time Gradient Flow

Alessandro Betti, Marco Gori, Stefano Melacci +1

Prescribing the speed of gradient flow on the risk itself, by the dynamics $\dot w=-u(E(w))\nabla E(w)/\abs{\nabla E(w)}^{2}$, makes the risk $e(t)=E(w(t))$ obey $\dot{e}=-u(e)$ exa…