37 citations · 284 across the 28 of their papers we have counts for
30 papers
Mathematical folklore
Govind Menon, Akshay Venkatesh
We present reflections on an experimental seminar studying the human and cultural roots of modern mathematics.
Scale invariant bounds for mixing in the Rayleigh-Taylor instability
Konstantin Kalinin, Govind Menon, Bian Wu
We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal str…
The Riemannian Langevin equation and conic programs
Govind Menon, Tianmin Yu
Diffusion limits provide a framework for the asymptotic analysis of stochastic gradient descent (SGD) schemes used in machine learning. We consider an alternative framework, the Ri…
Deep Linear Networks for Matrix Completion -- An Infinite Depth Limit
Nadav Cohen, Govind Menon, Zsolt Veraszto
The deep linear network (DLN) is a model for implicit regularization in gradient based optimization of overparametrized learning architectures. Training the DLN corresponds to a Ri…
Dyson Brownian Motion and motion by mean curvature
Ching-Peng Huang, Dominik Inauen, Govind Menon
We construct Dyson Brownian motion for by adapting the extrinsic construction of Brownian motion on Riemannian manifolds to the geometry of group orbits within th…
The Non-Null and Force-Free Electromagnetic Field
Govind Menon
In this paper, we present a covariant formalism that connects solutions to force-free electrodynamics in the non-null case and foliations of spacetime. In doing so, we are also abl…