368 citations · 1.4k across the 51 of their papers we have counts for
5 papers · 1 filter
ADMM for the SDP relaxation of the QAP
Danilo Elias Oliveira, Henry Wolkowicz, Yangyang Xu
The semidefinite programming (SDP) relaxation has proven to be extremely strong for many hard discrete optimization problems. This is in particular true for the quadratic assignmen…
Proximal gradient method for huberized support vector machine
Yangyang Xu, Ioannis Akrotirianakis, Amit Chakraborty
The Support Vector Machine (SVM) has been used in a wide variety of classification problems. The original SVM uses the hinge loss function, which is non-differentiable and makes th…
Alternating direction method of multipliers for regularized multiclass support vector machines
Yangyang Xu, Ioannis Akrotirianakis, Amit Chakraborty
The support vector machine (SVM) was originally designed for binary classifications. A lot of effort has been put to generalize the binary SVM to multiclass SVM (MSVM) which are mo…
ARock: an Algorithmic Framework for Asynchronous Parallel Coordinate Updates
Zhimin Peng, Yangyang Xu, Ming Yan +1
Finding a fixed point to a nonexpansive operator, i.e., , abstracts many problems in numerical linear algebra, optimization, and other areas of scientific computing. To s…
On the convergence of higher-order orthogonality iteration
Yangyang Xu
The higher-order orthogonality iteration (HOOI) has been popularly used for finding a best low-multilinear-rank approximation of a tensor. However, its iterate sequence convergence…