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

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Showing 2013Show all

2 papers · 1 filter

math.CA2013★ 4 cited

Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities

Lechao Xiao

We obtain sharp estimates for certain trilinear oscillatory integrals. In particular, we extend Phong and Stein's seminal result to a trilinear setting. This result partially answe…

math.CA2013★ 5 cited

Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials

Xiaochun Li, Lechao Xiao

We study the bilinear Hilbert transform and bilinear maximal functions associated to polynomial curves and obtain uniform $L^{r}$ estimates for $r > \frac{d - 1}{d}$ and this index is sh…