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FOCM
2011
175views more  FOCM 2011»
13 years 1 months ago
Convergence of Fixed-Point Continuation Algorithms for Matrix Rank Minimization
The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding etc. As this problem is NP-hard in ...
Donald Goldfarb, Shiqian Ma
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 6 months ago
Model Selection Through Sparse Maximum Likelihood Estimation
We consider the problem of estimating the parameters of a Gaussian or binary distribution in such a way that the resulting undirected graphical model is sparse. Our approach is to...
Onureena Banerjee, Laurent El Ghaoui, Alexandre d'...
OL
2011
332views Neural Networks» more  OL 2011»
13 years 1 months ago
A robust implementation of a sequential quadratic programming algorithm with successive error restoration
We consider sequential quadratic programming (SQP) methods for solving constrained nonlinear programming problems. It is generally believed that SQP methods are sensitive to the a...
Klaus Schittkowski
OL
2007
133views more  OL 2007»
13 years 5 months ago
An SQP-type algorithm for nonlinear second-order cone programs
We propose an SQP-type algorithm for solving nonlinear second-order cone programming (NSOCP) problems. At every iteration, the algorithm solves a convex SOCP subproblem in which th...
Hirokazu Kato, Masao Fukushima
AUTOMATICA
2004
113views more  AUTOMATICA 2004»
13 years 5 months ago
Ellipsoidal bounds for uncertain linear equations and dynamical systems
In this paper, we discuss semidefinite relaxation techniques for computing minimal size ellipsoids that bound the solution set of a system of uncertain linear equations. The propo...
Giuseppe Carlo Calafiore, Laurent El Ghaoui