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20132026
most citedA rate of convergence of Physics Informed Neural Networks for the linear second order elliptic PDEs

47 citations · 106 across the 22 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.NA2026

Near-Optimal Nonconvex Matrix Completion

Jian-Feng Cai, Xiliang Lu, Juntao You

We study nonconvex methods for matrix completion, the problem of recovering a low-rank matrix from a subset of its entries. Convex methods achieve sample complexity linear in the m…

math.NA2026

Off-Grid Point-Scatterer Localization from Sparse Limited-Aperture Data via Hankel Completion

Jingzhi Li, Xiliang Lu, Juntao You

We study the localization of distinct planar point scatterers from sparsely sampled single-incidence, single-frequency acoustic far-field data over a limited receiver aperture.…

cs.LG2026

Approximation Error Upper and Lower Bounds for Hölder Class with Transformers

Xin He, Yuling Jiao, Xiliang Lu +1

We explore the expressive power of Transformers by establishing precise approximation error upper and lower bounds for Hölder class. Specifically, a new approximation upper bound i…