The Complexity of Valued Constraint Satisfaction Problems
Language: English
Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2012
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Seller Inventory # 9783642339738
- Title
- The Complexity of Valued Constraint Satisfaction Problems
- Author
- Stanislav ¿Ivný
- Publisher
- Springer Berlin Heidelberg, Springer Berlin Heidelberg
- Publication year
- 2012
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3642339735
- ISBN 13
- 9783642339738
- Item weight
- 453 grams
- Dimensions
- 241x160x15 mm
- Series
- Book 28 of 43: Cognitive Technologies
The topic of this book is the following optimisation problem: given a set of discrete variables and a set of functions, each depending on a subset of the variables, minimise the sum of the functions over all variables. This fundamental research problem has been studied within several different contexts of discrete mathematics, computer science and artificial intelligence under different names: Min-Sum problems, MAP inference in Markov random fields (MRFs) and conditional random fields (CRFs), Gibbs energy minimisation, valued constraint satisfaction problems (VCSPs), and, for two-state variables, pseudo-Boolean optimisation.
In this book the author presents general techniques for analysing the structure of such functions and the computational complexity of the minimisation problem, and he gives a comprehensive list of tractable cases. Moreover, he demonstrates that the so-called algebraic approach to VCSPs can be used not only for the search for tractable VCSPs, but also for other questions such as finding the boundaries to the applicability of certain algorithmic techniques.
The book is suitable for researchers interested in methods and results from the area of constraint programming and discrete optimisation.
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