1 citations · 1 across the 4 of their papers we have counts for
5 papers
Gaussian Approximation of Besov Functions for Logistic Classification on Manifolds
Guanhang Lei, Lei Shi, Xiaoming Yuan
We study Gaussian kernel approximation and regularized logistic classification on a connected compact smooth embedded manifold without boundary and of intrins…
Long-time Integration of Nonlinear Wave Equations with Neural Operators
Guanhang Lei, Zhen Lei, Lei Shi
Neural operators have shown promise in solving many types of Partial Differential Equations (PDEs). They are significantly faster compared to traditional numerical solvers once the…
An Efficient Deep Learning Approach for Approximating Parameter-to-Solution Maps of PDEs
Guanhang Lei, Zhen Lei, Lei Shi +1
In this paper, we consider approximating the parameter-to-solution maps of parametric partial differential equations (PPDEs) using deep neural networks (DNNs). We propose an effici…
Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks
Guanhang Lei, Zhen Lei, Lei Shi +2
Physics-informed neural networks (PINNs) have been demonstrated to be efficient in solving partial differential equations (PDEs) from a variety of experimental perspectives. Some r…
Pairwise Ranking with Gaussian Kernels
Guanhang Lei, Lei Shi
Regularized pairwise ranking with Gaussian kernels is one of the cutting-edge learning algorithms. Despite a wide range of applications, a rigorous theoretical demonstration still…