5 citations · 8 across the 12 of their papers we have counts for
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Spectral Barron spaces of periodic functions
Mourad Choulli, Shuai Lu, Hiroshi Takase
Spectral Barron spaces are Fourier-Lebesgue-type spaces that arise in the approximation of functions by neural networks. Conventional spectral Barron spaces are mostly considered o…
Heat equations in spectral Barron spaces
Mourad Choulli, Shuai Lu, Hiroshi Takase
Spectral Barron spaces, characterized by an \(L^1\)-based Fourier-Lebesgue norm, have earned significant attention in approximation theory due to their remarkable capacity to repre…
Inverse Geometric Diffraction by a Cone
Gang Bao, Xi Chen, Shuai Lu +1
Consider the inverse problem of recovering a strictly convex conical obstacle in from the diffraction coefficients along with arrival directions (lens data) or arriv…
Inverse Scattering by Diffracted Waves
Gang Bao, Xi Chen, Shuai Lu +1
In addition to reflection and refraction, another form of wave deviation is defined as diffraction. Notably, when incident waves strike a corner, diffracted waves emanate from the…
An inverse coefficient problem for a semilinear wave equation by the first order linearization
Yuxiang He, Shuai Lu
This paper investigates recovery of an unknown coefficient in a semilinear wave equation defined on a bounded, open, and strictly convex domain in \(\mathbb{R}^{1+n}\) with \(n \ge…
Unique inversion of smooth nonlinearity in semilinear wave equations on Lorentzian manifolds
Xi Chen, Shuai Lu, Ruochong Zhang
We study the recovery of a smooth nonlinearity in semilinear wave equations on globally hyperbolic Lorentzian manifolds. Our approach combines higher-order linearization with disto…