Optimization Methods For Logical Inference

Author : Vijay Chandru,John Hooker
Publisher : John Wiley & Sons
Page : 386 pages
File Size : 49,6 Mb
Release : 2011-09-26
Category : Mathematics
ISBN : 9781118031414

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Optimization Methods for Logical Inference by Vijay Chandru,John Hooker Pdf

Merging logic and mathematics in deductive inference-an innovative, cutting-edge approach. Optimization methods for logical inference? Absolutely, say Vijay Chandru and John Hooker, two major contributors to this rapidly expanding field. And even though "solving logical inference problems with optimization methods may seem a bit like eating sauerkraut with chopsticks. . . it is the mathematical structure of a problem that determines whether an optimization model can help solve it, not the context in which the problem occurs." Presenting powerful, proven optimization techniques for logic inference problems, Chandru and Hooker show how optimization models can be used not only to solve problems in artificial intelligence and mathematical programming, but also have tremendous application in complex systems in general. They survey most of the recent research from the past decade in logic/optimization interfaces, incorporate some of their own results, and emphasize the types of logic most receptive to optimization methods-propositional logic, first order predicate logic, probabilistic and related logics, logics that combine evidence such as Dempster-Shafer theory, rule systems with confidence factors, and constraint logic programming systems. Requiring no background in logic and clearly explaining all topics from the ground up, Optimization Methods for Logical Inference is an invaluable guide for scientists and students in diverse fields, including operations research, computer science, artificial intelligence, decision support systems, and engineering.

Author : Yves Crama,Peter L. Hammer
Publisher : Cambridge University Press
Page : 781 pages
File Size : 54,8 Mb
Release : 2010-06-28
Category : Computers
ISBN : 9780521847520

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Boolean Models and Methods in Mathematics, Computer Science, and Engineering by Yves Crama,Peter L. Hammer Pdf

A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.

Author : John Hooker
Publisher : John Wiley & Sons
Page : 520 pages
File Size : 55,6 Mb
Release : 2011-09-28
Category : Mathematics
ISBN : 9781118031285

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Logic-Based Methods for Optimization by John Hooker Pdf

A pioneering look at the fundamental role of logic in optimizationand constraint satisfaction While recent efforts to combine optimization and constraintsatisfaction have received considerable attention, little has beensaid about using logic in optimization as the key to unifying thetwo fields. Logic-Based Methods for Optimization develops for thefirst time a comprehensive conceptual framework for integratingoptimization and constraint satisfaction, then goes a step furtherand shows how extending logical inference to optimization allowsfor more powerful as well as flexible modeling and solutiontechniques. Designed to be easily accessible to industryprofessionals and academics in both operations research andartificial intelligence, the book provides a wealth of examples aswell as elegant techniques and modeling frameworks ready forimplementation. Timely, original, and thought-provoking,Logic-Based Methods for Optimization: * Demonstrates the advantages of combining the techniques inproblem solving * Offers tutorials in constraint satisfaction/constraintprogramming and logical inference * Clearly explains such concepts as relaxation, cutting planes,nonserial dynamic programming, and Bender's decomposition * Reviews the necessary technologies for software developersseeking to combine the two techniques * Features extensive references to important computationalstudies * And much more

Author : United States. Office of Naval Research
Publisher : Unknown
Page : 88 pages
File Size : 55,7 Mb
Release : 1992
Category : Research
ISBN : MINN:30000010498057

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Office of Naval Research Guide to Programs by United States. Office of Naval Research Pdf

Author : United States. Office of the Chief of Naval Research
Publisher : Unknown
Page : 88 pages
File Size : 46,7 Mb
Release : 1992
Category : Research
ISBN : IND:30000106427515

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Office of Naval Research Guide to Programs by United States. Office of the Chief of Naval Research Pdf

Author : Helene Kirchner,Christophe Ringeissen
Publisher : Springer
Page : 298 pages
File Size : 55,7 Mb
Release : 2006-12-30
Category : Mathematics
ISBN : 9783540464211

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Frontiers of Combining Systems by Helene Kirchner,Christophe Ringeissen Pdf

This book constitutes the refereed proceedings of the Third International Workshop on Frontiers of Combining Systems, FroCoS 2000, held in Nancy, France, in March 2000. The 14 revised full papers presented together with four invited papers were carefully reviewed and selected from a total of 31 submissions. Among the topics covered are constraint processing, interval narrowing, rewriting systems, proof planning, sequent calculus, type systems, model checking, theorem proving, declarative programming, logic programming, and equational theories.

Author : A. Biere,M. Heule,H. van Maaren
Publisher : IOS Press
Page : 980 pages
File Size : 46,9 Mb
Release : 2009-01-29
Category : Computers
ISBN : 9781607503767

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Handbook of Satisfiability by A. Biere,M. Heule,H. van Maaren Pdf

“Satisfiability (SAT) related topics have attracted researchers from various disciplines: logic, applied areas such as planning, scheduling, operations research and combinatorial optimization, but also theoretical issues on the theme of complexity and much more, they all are connected through SAT. My personal interest in SAT stems from actual solving: The increase in power of modern SAT solvers over the past 15 years has been phenomenal. It has become the key enabling technology in automated verification of both computer hardware and software. Bounded Model Checking (BMC) of computer hardware is now probably the most widely used model checking technique. The counterexamples that it finds are just satisfying instances of a Boolean formula obtained by unwinding to some fixed depth a sequential circuit and its specification in linear temporal logic. Extending model checking to software verification is a much more difficult problem on the frontier of current research. One promising approach for languages like C with finite word-length integers is to use the same idea as in BMC but with a decision procedure for the theory of bit-vectors instead of SAT. All decision procedures for bit-vectors that I am familiar with ultimately make use of a fast SAT solver to handle complex formulas. Decision procedures for more complicated theories, like linear real and integer arithmetic, are also used in program verification. Most of them use powerful SAT solvers in an essential way. Clearly, efficient SAT solving is a key technology for 21st century computer science. I expect this collection of papers on all theoretical and practical aspects of SAT solving will be extremely useful to both students and researchers and will lead to many further advances in the field.”--Edmund Clarke (FORE Systems University Professor of Computer Science and Professor of Electrical and Computer Engineering at Carnegie Mellon University, winner of the 2007 A.M. Turing Award)

Author : Egon Börger
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 54,7 Mb
Release : 1992-09-10
Category : Computers
ISBN : 354055789X

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Computer Science Logic by Egon Börger Pdf

This volume presents the proceedings of the workshop CSL '91 (Computer Science Logic) held at the University of Berne, Switzerland, October 7-11, 1991. This was the fifth in a series of annual workshops on computer sciencelogic (the first four are recorded in LNCS volumes 329, 385, 440, and 533). The volume contains 33 invited and selected papers on a variety of logical topics in computer science, including abstract datatypes, bounded theories, complexity results, cut elimination, denotational semantics, infinitary queries, Kleene algebra with recursion, minimal proofs, normal forms in infinite-valued logic, ordinal processes, persistent Petri nets, plausibility logic, program synthesis systems, quantifier hierarchies, semantics of modularization, stable logic, term rewriting systems, termination of logic programs, transitive closure logic, variants of resolution, and many others.

Author : Noga Alon,Joel H. Spencer
Publisher : John Wiley & Sons
Page : 400 pages
File Size : 48,8 Mb
Release : 2015-10-28
Category : Mathematics
ISBN : 9781119061960

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The Probabilistic Method by Noga Alon,Joel H. Spencer Pdf

Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.

Author : Edwin K. P. Chong,Stanislaw H. Zak
Publisher : John Wiley & Sons
Page : 646 pages
File Size : 42,9 Mb
Release : 2013-01-14
Category : Mathematics
ISBN : 9781118279014

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An Introduction to Optimization by Edwin K. P. Chong,Stanislaw H. Zak Pdf

Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail." —MAA Reviews Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers: A new chapter on integer programming Expanded coverage of one-dimensional methods Updated and expanded sections on linear matrix inequalities Numerous new exercises at the end of each chapter MATLAB exercises and drill problems to reinforce the discussed theory and algorithms Numerous diagrams and figures that complement the written presentation of key concepts MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website) Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Author : Renato Bruni
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 47,6 Mb
Release : 2010-10-17
Category : Science
ISBN : 9781441968005

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Mathematical Approaches to Polymer Sequence Analysis and Related Problems by Renato Bruni Pdf

An edited volume describing the latest developments in approaching the problem of polymer sequence analysis, with special emphasis on the most relevant biopolymers (peptides and DNA) but not limited to them. The chapters will include peptide sequence analysis, DNA sequence analysis, analysis of biopolymers and nonpolymers, sequence alignment problems, and more.

Author : Evangelos Triantaphyllou
Publisher : Springer Science & Business Media
Page : 371 pages
File Size : 41,5 Mb
Release : 2010-06-08
Category : Computers
ISBN : 9781441916303

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Data Mining and Knowledge Discovery via Logic-Based Methods by Evangelos Triantaphyllou Pdf

The importance of having ef cient and effective methods for data mining and kn- ledge discovery (DM&KD), to which the present book is devoted, grows every day and numerous such methods have been developed in recent decades. There exists a great variety of different settings for the main problem studied by data mining and knowledge discovery, and it seems that a very popular one is formulated in terms of binary attributes. In this setting, states of nature of the application area under consideration are described by Boolean vectors de ned on some attributes. That is, by data points de ned in the Boolean space of the attributes. It is postulated that there exists a partition of this space into two classes, which should be inferred as patterns on the attributes when only several data points are known, the so-called positive and negative training examples. The main problem in DM&KD is de ned as nding rules for recognizing (cl- sifying) new data points of unknown class, i. e. , deciding which of them are positive and which are negative. In other words, to infer the binary value of one more attribute, called the goal or class attribute. To solve this problem, some methods have been suggested which construct a Boolean function separating the two given sets of positive and negative training data points.

Author : Wojciech Szpankowski
Publisher : John Wiley & Sons
Page : 580 pages
File Size : 51,6 Mb
Release : 2011-10-14
Category : Mathematics
ISBN : 9781118031025

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Average Case Analysis of Algorithms on Sequences by Wojciech Szpankowski Pdf

A timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology. It describes methods employed in average case analysis of algorithms, combining both analytical and probabilistic tools in a single volume. * Tools are illustrated through problems on words with applications to molecular biology, data compression, security, and pattern matching. * Includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusion principles, first and second moment methods, subadditive ergodic theorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transform and its applications, and analytic poissonization and depoissonization. * Written by an established researcher with a strong international reputation in the field.

Author : Guilherme Bittencourt,Geber L. Ramalho
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 49,7 Mb
Release : 2002-10-28
Category : Computers
ISBN : 9783540001249

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Advances in Artificial Intelligence by Guilherme Bittencourt,Geber L. Ramalho Pdf

This book constitutes the refereed proceedings of the 16th Brazilian Symposium on Artificial Intelligence, SBIA 2002, held in Porto de Galinhas/Recife, Brazil in November 2002. The 39 revised full papers presented were carefully reviewed and selected from 146 submissions from 18 countries. the papers are organized in topical sections on theoretical and logical methods, autonomous agents and multi-agent systems, machine learning, knowledge discovery and data mining, evolutionary computation and artificial life, uncertainty, and natural language processing.

Author : Ding-Zhu Du,Ker-I Ko
Publisher : John Wiley & Sons
Page : 517 pages
File Size : 53,5 Mb
Release : 2014-06-30
Category : Mathematics
ISBN : 9781118306086

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Theory of Computational Complexity by Ding-Zhu Du,Ker-I Ko Pdf

Praise for the First Edition "... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity." —Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research.