The Theory and Applications of Discrete Constrained Optimization Using Lagrange Multipliers
Wu, Zhe
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Permalink
https://hdl.handle.net/2142/81578
Description
Title
The Theory and Applications of Discrete Constrained Optimization Using Lagrange Multipliers
Author(s)
Wu, Zhe
Issue Date
2001
Doctoral Committee Chair(s)
Wah, Benjamin W.
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Computer Science
Language
eng
Abstract
Finally, we demonstrate the efficiency and effectiveness of our proposed theory and methods. DLM is able to solve systematically general discrete, continuous and mixed-integer constrained benchmarks, which is a task not achieved by previous methods. DLM has found better multiplierless filter-bank designs that improve over all of Johnston's benchmark designs using a maximum of three to six ONE bits in each filter coefficient instead of using floating-point representations. Finally, DLM has found efficiently new solutions for satisfiability problems that were not possible by existing local- and global search techniques.
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