109 citations · 579 across the 90 of their papers we have counts for
7 papers · 1 filter
CDOpt: A Python Package for a Class of Riemannian Optimization
Nachuan Xiao, Xiaoyin Hu, Xin Liu +1
Optimization over the embedded submanifold defined by constraints has attracted much interest over the past few decades due to its wide applications in various areas. Pl…
Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant
Ngoc Hoang Anh Mai, Victor Magron, Jean-Bernard Lasserre +1
We consider polynomial optimization problems (POP) on a semialgebraic set contained in the nonnegative orthant (every POP on a compact set can be put in this format by a simple tra…
On Efficient and Scalable Computation of the Nonparametric Maximum Likelihood Estimator in Mixture Models
Yangjing Zhang, Ying Cui, Bodhisattva Sen +1
In this paper we study the computation of the nonparametric maximum likelihood estimator (NPMLE) in multivariate mixture models. Our first approach discretizes this infinite dimens…
An Improved Unconstrained Approach for Bilevel Optimization
Xiaoyin Hu, Nachuan Xiao, Xin Liu +1
In this paper, we focus on the nonconvex-strongly-convex bilevel optimization problem (BLO). In this BLO, the objective function of the upper-level problem is nonconvex and possibl…
A Constraint Dissolving Approach for Nonsmooth Optimization over the Stiefel Manifold
Xiaoyin Hu, Nachuan Xiao, Xin Liu +1
This paper focus on the minimization of a possibly nonsmooth objective function over the Stiefel manifold. The existing approaches either lack efficiency or can only tackle prox-fr…
Accelerating nuclear-norm regularized low-rank matrix optimization through Burer-Monteiro decomposition
Ching-pei Lee, Ling Liang, Tianyun Tang +1
This work proposes a rapid algorithm, BM-Global, for nuclear-norm-regularized convex and low-rank matrix optimization problems. BM-Global efficiently decreases the objective value…
Dissolving Constraints for Riemannian Optimization
Nachuan Xiao, Xin Liu, Kim-Chuan Toh
In this paper, we consider optimization problems over closed embedded submanifolds of , which are defined by the constraints . We propose a class of constra…