1 citations · 2 across the 6 of their papers we have counts for
6 papers
Semidefinite Programming Approximation for a Matrix Optimization Problem over an Uncertain Linear System
Jintao Xu, Shu-Cherng Fang, Wenxun Xing
A matrix optimization problem over an uncertain linear system on finite horizon (abbreviated as MOPUL) is studied, in which the uncertain transition matrix is regarded as a decisio…
Convergence Rates of Training Deep Neural Networks via Alternating Minimization Methods
Jintao Xu, Chenglong Bao, Wenxun Xing
Training deep neural networks (DNNs) is an important and challenging optimization problem in machine learning due to its non-convexity and non-separable structure. The alternating…
Globalized distributionally robust optimization based on samples
Yueyao Li, Wenxun Xing
It is known that the set of perturbed data is key in robust optimization (RO) modelling. Distributionally robust optimization (DRO) is a methodology used for optimization problems…
Double Well Potential Function and Its Optimization in The n-dimensional Real Space -- Part I
Shu-Cherng Fang, David Yang Gao, Gang-Xuan Lin +2
A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. When the function is bounded from below, it has a very unique propert…
Double Well Potential Function and Its Optimization in the n-dimensional Real Space - Part II
Yong Xia, Ruey-Lin Sheu, Shu-Cherng Fang +1
In contrast to taking the dual approach for finding a global minimum solution of a double well potential function, in Part II of the paper, we characterize a local minimizer, local…
Combinations of Some Shop Scheduling Problems and the Shortest Path Problem: Complexity and Approximation Algorithms
Kameng Nip, Zhenbo Wang, Wenxun Xing
We consider several combinatorial optimization problems which combine the classic shop scheduling problems, namely open shop scheduling or job shop scheduling, and the shortest pat…