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ORL
2011
13 years 4 days ago
Convex approximations to sparse PCA via Lagrangian duality
We derive a convex relaxation for cardinality constrained Principal Component Analysis (PCA) by using a simple representation of the L1 unit ball and standard Lagrangian duality. ...
Ronny Luss, Marc Teboulle
MP
1998
134views more  MP 1998»
13 years 5 months ago
Second-order global optimality conditions for convex composite optimization
In recent years second-order sufficient conditions of an isolated local minimizer for convex composite optimization problems have been established. In this paper, second-order opt...
Xiaoqi Yang
SIAMCO
2000
110views more  SIAMCO 2000»
13 years 5 months ago
On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex potential. The differential system is defined in a rea...
Felipe Alvarez
ICCV
2009
IEEE
13 years 3 months ago
An algorithm for minimizing the Mumford-Shah functional
In this work we revisit the Mumford-Shah functional, one of the most studied variational approaches to image segmentation. The contribution of this paper is to propose an algorith...
Thomas Pock, Daniel Cremers, Horst Bischof, Antoni...
JOTA
2011
149views more  JOTA 2011»
13 years 18 days ago
Globally Convergent Cutting Plane Method for Nonconvex Nonsmooth Minimization
: Nowadays, solving nonsmooth (not necessarily differentiable) optimization problems plays a very important role in many areas of industrial applications. Most of the algorithms d...
Napsu Karmitsa, Mario Tanaka Filho, José He...