36 citations · 98 across the 26 of their papers we have counts for
8 papers · 1 filter
A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form
Weifeng Qiu, Jin Ren, Ke Shi +1
based optimization is widely used in image denoising, machine learning and related applications. One of the main features of such approach is that it naturally provide a spar…
Sparse Deep Neural Network for Nonlinear Partial Differential Equations
Yuesheng Xu, Taishan Zeng
More competent learning models are demanded for data processing due to increasingly greater amounts of data available in applications. Data that we encounter often have certain emb…
Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling
Tingting Wu, Yuesheng Xu
We propose a sparse regularization model for inversion of incomplete Fourier transforms and apply it to seismic wavefield modeling. The objective function of the proposed model emp…
Parameter Choices for Sparse Regularization with the Norm
Qianru Liu, Rui Wang, Yuesheng Xu +1
We consider a regularization problem whose objective function consists of a convex fidelity term and a regularization term determined by the norm composed with a linear tr…
An -weak Galerkin method for second order elliptic equations in non-divergence form
Waixiang Cao, Junping Wang, Yuesheng Xu
This article presents a new primal-dual weak Galerkin method for second order elliptic equations in non-divergence form. The new method is devised as a constrained -optimizati…
Computing Integrals Involved the Gaussian Function with a Small Standard Deviation
Yunyun Ma, Yuesheng Xu
We develop efficient numerical integration methods for computing an integral whose integrand is a product of a smooth function and the Gaussian function with a small standard devia…