1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2024★ 1 cited
Generalization Error Estimates of Machine Learning Methods for Solving High Dimensional Schrödinger Eigenvalue Problems
Hao Yu, Yixiao Guo, Pingbing Ming
We propose a machine learning method for computing eigenvalues and eigenfunctions of the Schrödinger operator on a -dimensional hypercube with Dirichlet boundary conditions. The…
math.NA2023
A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
Yixiao Guo, Pingbing Ming
We present a novel deep learning method for computing eigenvalues of the fractional Schrödinger operator. Our approach combines a newly developed loss function with an innovative n…
math.NA2021
A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm
Yuwei Fan, Yixiao Guo, Ting Lin
CholeskyQR is a simple and fast QR decomposition via Cholesky decomposition, while it has been considered highly sensitive to the condition number. In this paper, we provide a rand…