4 papers
A Two-Phase Perspective on Deep Learning Dynamics
Robert de Mello Koch, Animik Ghosh
We propose that learning in deep neural networks proceeds in two phases: a rapid curve fitting phase followed by a slower compression or coarse graining phase. This view is support…
The topological spectrum of high dimensional quantum states
Robert de Mello Koch, Pedro Ornelas, Neelan Gounden +3
Topology has emerged as a fundamental property of many systems, manifesting in cosmology, condensed matter, high-energy physics and waves. Despite the rich textures, the topology h…
Laguerre-Gaussian modes become elegant after an azimuthal phase modulation
Vasilios Cocotos, Light Mkhumbuza, Kayn A. Forbes +3
Laguerre-Gaussian (LG) modes are solutions of the paraxial Helmholtz equation in cylindrical coordinates and are associated with light fields carrying orbital angular momentum (OAM…
Quantum Skyrmions in general quantum channels: topological noise rejection and the discretization of quantum information
Robert de Mello Koch, Bo-Qiang Lu, Pedro Ornelas +2
The topology of a pure state of two entangled photons is leveraged to provide a discretization of quantum information. Since discrete signals are inherently more resilient to the e…