47 citations · 84 across the 8 of their papers we have counts for
6 papers · 1 filter
Weighted Trace-Penalty Minimization for Full Configuration Interaction
Weiguo Gao, Yingzhou Li, Hanxiang Shen
A novel unconstrained optimization model named weighted trace-penalty minimization (WTPM) is proposed to address the extreme eigenvalue problem arising from the Full Configuration…
Distributed-memory -matrix Algebra I: Data Distribution and Matrix-vector Multiplication
Yingzhou Li, Jack Poulson, Lexing Ying
We introduce a data distribution scheme for -matrices and a distributed-memory algorithm for -matrix-vector multiplication. Our data distribution scheme a…
Tensor Ring Decomposition: Optimization Landscape and One-loop Convergence of Alternating Least Squares
Ziang Chen, Yingzhou Li, Jianfeng Lu
In this work, we study the tensor ring decomposition and its associated numerical algorithms. We establish a sharp transition of algorithmic difficulty of the optimization problem…
Variational training of neural network approximations of solution maps for physical models
Yingzhou Li, Jianfeng Lu, Anqi Mao
A novel solve-training framework is proposed to train neural network in representing low dimensional solution maps of physical models. Solve-training framework uses the neural netw…
Coordinate-wise descent methods for leading eigenvalue problem
Yingzhou Li, Jianfeng Lu, Zhe Wang
Leading eigenvalue problems for large scale matrices arise in many applications. Coordinate-wise descent methods are considered in this work for such problems based on a reformulat…
Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks
Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu
Deep networks, especially convolutional neural networks (CNNs), have been successfully applied in various areas of machine learning as well as to challenging problems in other scie…