87 citations · 91 across the 14 of their papers we have counts for
4 papers · 1 filter
Deep adaptive basis Galerkin method for high-dimensional evolution equations with oscillatory solutions
Yiqi Gu, Micheal K. Ng
In this paper, we study deep neural networks (DNNs) for solving high-dimensional evolution equations with oscillatory solutions. Different from deep least-squares methods that deal…
Signal Reconstruction from Phase-only Measurements: Uniqueness Condition, Minimal Measurement Number and Beyond
Junren Chen, Michael K. Ng
This paper studies the phase-only reconstruction problem of recovering a complex-valued signal in from the phase of where is…
Deep Ritz method for the spectral fractional Laplacian equation using the Caffarelli-Silvestre extension
Yiqi Gu, Micheal K. Ng
In this paper, we propose a novel method for solving high-dimensional spectral fractional Laplacian equations. Using the Caffarelli-Silvestre extension, the -dimensional spectra…
Self-Supervised Nonlinear Transform-Based Tensor Nuclear Norm for Multi-Dimensional Image Recovery
Yi-Si Luo, Xi-Le Zhao, Tai-Xiang Jiang +3
In this paper, we study multi-dimensional image recovery. Recently, transform-based tensor nuclear norm minimization methods are considered to capture low-rank tensor structures to…