Rubinov A.M.

A.M. Rubinov

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Found 8 papers in total
Classes and clusters in data analysis
Classes and clusters in data analysis
2006
We discuss the relation between classes and clusters in datasets with given classes....
An algorithm for clustering based on non-smooth optimization techniques
An algorithm for clustering based on non-smooth optimization techniques
2003
The problem of cluster analysis is formulated as a problem of non-smooth, non-convex...
Unsupervised and supervised data classification via nonsmooth and global optimization
Unsupervised and supervised data classification via nonsmooth and global optimization
2003
We examine various methods for data clustering and data classification that are based...
The zero duality gap property and lower semicontinuity of the perturbation function
The zero duality gap property and lower semicontinuity of the perturbation function
2002
We examine the validity of the zero duality gap properties for two important dual...
Abstract convexity, global optimization and data classification
Abstract convexity, global optimization and data classification
2001
This survey paper consists of three parts: the first contains some definitions,...
Global minimization of increasing positively homogeneous functions over the unit simplex
Global minimization of increasing positively homogeneous functions over the unit simplex
2000
In this paper we study a method for global optimization of increasing positively...
Duality for increasing positively homogeneous functions and normal sets
Duality for increasing positively homogeneous functions and normal sets
1998
A nonlinear duality operation is defined for the class of increasing positively...
Dual conditions characterizing optimality for convex multi-objective programs
Dual conditions characterizing optimality for convex multi-objective programs
1999
Asymptotic necessary and sufficient conditions for a point to be a Pareto minimum, and...
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