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Minimal Logical Constraint Covering Sets
We propose a general framework for computing minimal set covers under class of certain logical constraints. The underlying idea is to transform the problem into a mathematical programm under linear constraints. In this sense it can be seen as a natural extension of the vector quantization algorithm proposed by Tipping and Schoelkopf. We show which class of logical constraints can be cast and relaxed into linear constraints and give an algorithm for the transformation.
@techreport{4264, title = {Minimal Logical Constraint Covering Sets}, abstract = {We propose a general framework for computing minimal set covers under class of certain logical constraints. The underlying idea is to transform the problem into a mathematical programm under linear constraints. In this sense it can be seen as a natural extension of the vector quantization algorithm proposed by Tipping and Schoelkopf. We show which class of logical constraints can be cast and relaxed into linear constraints and give an algorithm for the transformation.}, number = {155}, organization = {Max-Planck-Gesellschaft}, institution = {Max Planck Institute for Biological Cybernetics, Tübingen}, school = {Biologische Kybernetik}, month = dec, year = {2006}, slug = {4264}, author = {Sinz, FH. and Sch{\"o}lkopf, B.}, month_numeric = {12} }