40 citations · 83 across the 4 of their papers we have counts for
5 papers
Orthogonal Trace-Sum Maximization: Tightness of the Semidefinite Relaxation and Guarantee of Locally Optimal Solutions
Joong-Ho Won, Teng Zhang, Hua Zhou
This paper studies an optimization problem on the sum of traces of matrix quadratic forms in semi-orthogonal matrices, which can be considered as a generalization of the synchr…
Nonconvex Optimization via MM Algorithms: Convergence Theory
Kenneth Lange, Joong-Ho Won, Alfonso Landeros +1
The majorization-minimization (MM) principle is an extremely general framework for deriving optimization algorithms. It includes the expectation-maximization (EM) algorithm, proxim…
OPENMENDEL: A Cooperative Programming Project for Statistical Genetics
Hua Zhou, Janet S. Sinsheimer, Christopher A. German +12
Statistical methods for genomewide association studies (GWAS) continue to improve. However, the increasing volume and variety of genetic and genomic data make computational speed a…
Orthogonal Trace-Sum Maximization: Applications, Local Algorithms, and Global Optimality
Joong-Ho Won, Hua Zhou, Kenneth Lange
This paper studies the problem of maximizing the sum of traces of matrix quadratic forms on a product of Stiefel manifolds. This orthogonal trace-sum maximization (OTSM) problem ge…
Rates of convergence of some multivariate Markov chains with polynomial eigenfunctions
Kshitij Khare, Hua Zhou
We provide a sharp nonasymptotic analysis of the rates of convergence for some standard multivariate Markov chains using spectral techniques. All chains under consideration have mu…