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CATS
2008
14 years 11 days ago
A Multidimensional Bisection Method for Unconstrained Minimization Problem
An extension of a new multidimensional bisection method for minimizing function over simplex is proposed for solving nonlinear unconstrained minimization problem. The method does ...
Elena Morozova
WCE
2007
14 years 2 days ago
A Multidimensional Bisection Method for Minimizing Function over Simplex
—A new method for minimization problem over simplex, as a generalization of a well-known in onedimensional optimization bisection method is proposed. The convergence of the metho...
A. N. Baushev, E. Y. Morozova
MP
2006
134views more  MP 2006»
13 years 11 months ago
Cubic regularization of Newton method and its global performance
In this paper, we provide theoretical analysis for a cubic regularization of Newton method as applied to unconstrained minimization problem. For this scheme, we prove general local...
Yurii Nesterov, Boris T. Polyak
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
14 years 8 days ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
JMLR
2006
150views more  JMLR 2006»
13 years 11 months ago
Exact 1-Norm Support Vector Machines Via Unconstrained Convex Differentiable Minimization
Support vector machines utilizing the 1-norm, typically set up as linear programs (Mangasarian, 2000; Bradley and Mangasarian, 1998), are formulated here as a completely unconstra...
Olvi L. Mangasarian