Branch-and-cut for cardinality constrained optimization

Ismael de Farias (alternative address), University at Buffalo

Given a set of continuous variables and a set of constants, one for each variable, a cardinality constraint requires that no less than a specified number of variables is equal to their corresponding constants. Cardinality constraints appear in several applications, for example feature selection in data mining. In this talk I will present a polyhedral study of problems with cardinality constraints and a branch-and-cut approach to solve them. In particular, I will present a few unusual properties of these polyhedra.


Chemnitz Workshop

Last modified: Mon Sep 30 9:08:39 CEST 2004