56 citations · 82 across the 13 of their papers we have counts for
14 papers
On Finite-Step Convergence of the Non-Greedy Algorithm and Proximal Alternating Minimization Method with Extrapolation for -Norm PCA
Yuning Yang
The classical non-greedy algorithm (NGA) and the recently proposed proximal alternating minimization method with extrapolation (PAMe) for -norm PCA are revisited and their fin…
Practical Approximation Algorithms for -Regularized Sparse Rank- Approximation to Higher-Order Tensors
Xianpeng Mao, Yuning Yang
Two approximation algorithms are proposed for -regularized sparse rank-1 approximation to higher-order tensors. The algorithms are based on multilinear relaxation and spars…
A Study on Nonnegative Tubal Matrices
Yuning Yang, Junwei Zhang
Tubal scalars are usual vectors, and tubal matrices are matrices with every element being a tubal scalar. Such a matrix is often recognized as a third-order tensor. The product bet…
On the Largest Singular Value/Eigenvalue of a Random Tensor
Yuning Yang
This short note presents upper bounds of the expectations of the largest singular values/eigenvalues of various types of random tensors in the non-asymptotic sense. For a standard…
On Approximation Algorithm for Orthogonal Low-Rank Tensor Approximation
Yuning Yang
The goal of this work is to fill a gap in [Yang, SIAM J. Matrix Anal. Appl, 41 (2020), 1797--1825]. In that work, an approximation procedure was proposed for orthogonal low-rank te…
Several Approximation Algorithms for Sparse Best Rank-1 Approximation to Higher-Order Tensors
Xianpeng Mao, Yuning Yang
Sparse tensor best rank-1 approximation (BR1Approx), which is a sparsity generalization of the dense tensor BR1Approx, and is a higher-order extension of the sparse matrix BR1Appro…