69 citations · 455 across the 44 of their papers we have counts for
5 papers · 1 filter
Effect of Depth and Width on Local Minima in Deep Learning
Kenji Kawaguchi, Jiaoyang Huang, Leslie Pack Kaelbling
In this paper, we analyze the effects of depth and width on the quality of local minima, without strong over-parameterization and simplification assumptions in the literature. With…
Dyson Brownian Motion for General and Potential at the Edge
Arka Adhikari, Jiaoyang Huang
In this paper, we compare the solutions of Dyson Brownian motion with general and potential and the associated McKean-Vlasov equation near the edge. Under suitable conditio…
Law of Large Numbers and Central Limit Theorems by Jack Generating Functions
Jiaoyang Huang
In a series of papers [22-24] by Bufetov and Gorin, Schur generating functions as the Fourier transforms on the unitary group , are introduced to study the asymptotic behavio…
Invertibility of adjacency matrices for random -regular graphs
Jiaoyang Huang
Let be a fixed integer and be the adjacency matrix of a random -regular directed or undirected graph on vertices. We show there exist constants …
Invertibility of adjacency matrices for random d-regular directed graphs
Jiaoyang Huang
Let be a fixed integer, and a prime number such that . Let be the adjacency matrix of a random -regular directed graph on vertices. We show th…