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math.OC2018
Weighted total variation based convex clustering
Guodong Xu, Yu Xia, Hui Ji
Data clustering is a fundamental problem with a wide range of applications. Standard methods, eg the -means method, usually require solving a non-convex optimization problem. Re…
math.OC2016
A Subgradient Method for Free Material Design
Michal Kocvara, Yurii Nesterov, Yu Xia
A small improvement in the structure of the material could save the manufactory a lot of money. The free material design can be formulated as an optimization problem. However, due…
math.OC2015★ 1 cited
Second-Order Cone Programming for P-Spline Simulation Metamodeling
Yu Xia, Farid Alizadeh
This paper approximates simulation models by B-splines with a penalty on high-order finite differences of the coefficients of adjacent B-splines. The penalty prevents overfitting.…