Lechao Xiao

activity

20132026

most citedWide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descent

290 citations · 701 across the 29 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.CA2016★ 1 cited

Higher decay inequalities for multilinear oscillatory integrals

Maxim Gilula, Philip T. Gressman, Lechao Xiao

In this paper we establish sharp estimates (up to logarithmic losses) for the multilinear oscillatory integral operator studied by Phong, Stein, and Sturm and Carbery and Wright on…

math.CA2016

Endpoint estimates for one-dimensional oscillatory integral operator

Lechao Xiao

The one-dimensional oscillatory integral operator associated to a real analytic phase $S$ is given by $T_{λ} f (x) = \int_{- \infty}^{\infty} e^{iλ S (x, y)} χ (x, y) f (y) d y .$ In this pape…