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SIAMJO
2010
85views more  SIAMJO 2010»
13 years 4 months ago
Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or nece...
Xi Yin Zheng, Kung Fu Ng
SIAMJO
2010
74views more  SIAMJO 2010»
13 years 15 days ago
Various Lipschitz-like Properties for Functions and Sets I: Directional Derivative and Tangential Characterizations
In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. F...
Rafael Correa, Pedro Gajardo, Lionel Thibault
SIAMJO
2010
87views more  SIAMJO 2010»
13 years 15 days ago
Universal Rigidity and Edge Sparsification for Sensor Network Localization
Owing to their high accuracy and ease of formulation, there has been great interest in applying convex optimization techniques, particularly that of semidefinite programming (SDP)...
Zhisu Zhu, Anthony Man-Cho So, Yinyu Ye
SIAMJO
2010
97views more  SIAMJO 2010»
13 years 15 days ago
A Newton-CG Augmented Lagrangian Method for Semidefinite Programming
Abstract. We consider a Newton-CG augmented Lagrangian method for solving semidefinite programming (SDP) problems from the perspective of approximate semismooth Newton methods. In ...
Xin-Yuan Zhao, Defeng Sun, Kim-Chuan Toh
SIAMJO
2010
127views more  SIAMJO 2010»
13 years 15 days ago
Trace Norm Regularization: Reformulations, Algorithms, and Multi-Task Learning
We consider a recently proposed optimization formulation of multi-task learning based on trace norm regularized least squares. While this problem may be formulated as a semidefini...
Ting Kei Pong, Paul Tseng, Shuiwang Ji, Jieping Ye