4 papers
Matrix optimization based Euclidean embedding with outliers
Qian Zhang, Xinyuan Zhao, Chao Ding
Euclidean embedding from noisy observations containing outlier errors is an important and challenging problem in statistics and machine learning. Many existing methods would strugg…
A proximal DC approach for quadratic assignment problem
Zhuoxuan Jiang, Xinyuan Zhao, Chao Ding
In this paper, we show that the quadratic assignment problem (QAP) can be reformulated to an equivalent rank constrained doubly nonnegative (DNN) problem. Under the framework of th…
Nonsmooth Composite Matrix Optimization: Strong Regularity, Constraint Nondegeneracy and Beyond
Ying Cui, Chao Ding
The nonsmooth composite matrix optimization problem (CMatOP), in particular, the matrix norm minimization problem, is a generalization of the matrix conic programming problem with…
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian
Chao Ding, Defeng Sun, Jie Sun +1
Spectral operators of matrices proposed recently in [C. Ding, D.F. Sun, J. Sun, and K.C. Toh, Math. Program. {\bf 168}, 509--531 (2018)] are a class of matrix valued functions, whi…