000 08272nam a2200865 i 4500
001 6812756
003 IEEE
005 20200413152913.0
006 m eo d
007 cr cn |||m|||a
008 140113s2013 caua foab 000 0 eng d
020 _a9781627051989
_qebook
020 _z9781627051972
_qpaperback
024 7 _a10.2200/S00529ED1V01Y201308AIM023
_2doi
035 _a(CaBNVSL)swl00403033
035 _a(OCoLC)867318552
040 _aCaBNVSL
_beng
_erda
_cCaBNVSL
_dCaBNVSL
050 4 _aQA279
_b.D537 2013
082 0 4 _a519.5
_223
090 _a
_bMoCl
_e201308AIM023
100 1 _aDechter, Rina,
_d1950-,
_eauthor.
245 1 0 _aReasoning with probabilistic and deterministic graphical models :
_bexact algorithms /
_cRina Dechter.
264 1 _aSan Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) :
_bMorgan & Claypool,
_c2013.
300 _a1 PDF (xiv, 177 pages) :
_billustrations.
336 _atext
_2rdacontent
337 _aelectronic
_2isbdmedia
338 _aonline resource
_2rdacarrier
490 1 _aSynthesis lectures on artificial intelligence and machine learning,
_x1939-4616 ;
_v# 23
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
500 _aPart of: Synthesis digital library of engineering and computer science.
500 _aSeries from website.
504 _aIncludes bibliographical references (pages 167-176).
505 0 _a1. Introduction -- 1.1 Probabilistic vs. deterministic models -- 1.2 Directed vs. undirected models -- 1.3 General graphical models -- 1.4 Inference and search-based schemes -- 1.5 Overview of the book --
505 8 _a2. What are graphical models -- 2.1 General graphical models -- 2.2 The graphs of graphical models -- 2.2.1 Basic definitions -- 2.2.2 Types of graphs -- 2.3 Constraint networks -- 2.4 Cost networks -- 2.5 Probability networks -- 2.5.1 Bayesian networks -- 2.5.2 Markov networks -- 2.6 Mixed networks -- 2.7 Summary and bibliographical notes --
505 8 _a3. Inference: bucket elimination for deterministic networks -- 3.1 Bucket-elimination for constraint networks -- 3.2 Bucket elimination for propositional CNFs -- 3.3 Bucket elimination for linear inequalities -- 3.4 The induced-graph and induced-width -- 3.4.1 Trees -- 3.4.2 Finding good orderings -- 3.5 Chordal graphs -- 3.6 Summary and bibliography notes --
505 8 _a4. Inference: bucket elimination for probabilistic networks -- 4.1 Belief updating and probability of evidence -- 4.1.1 Deriving BE-bel -- 4.1.2 Complexity of BE-bel -- 4.1.3 The impact of observations -- 4.2 Bucket elimination for optimization tasks -- 4.2.1 A bucket elimination algorithm for mpe -- 4.2.2 A bucket elimination algorithm for map -- 4.3 Bucket elimination for Markov networks -- 4.4 Bucket elimination for cost networks and dynamic programming -- 4.5 Bucket elimination for mixed networks -- 4.6 The general bucket elimination -- 4.7 Summary and bibliographical notes -- 4.8 Appendix: proofs --
505 8 _a5. Tree-clustering schemes -- 5.1 Bucket-tree elimination -- 5.1.1 Asynchronous bucket-tree propagation -- 5.2 From bucket trees to cluster trees -- 5.2.1 From buckets to clusters; the short route -- 5.2.2 Acyclic graphical models -- 5.2.3 Tree decomposition and cluster tree elimination -- 5.2.4 Generating tree decompositions -- 5.3 Properties of CTE for general models -- 5.3.1 Correctness of CTE -- 5.3.2 Complexity of CTE -- 5.4 Illustration of CTE for specific models -- 5.4.1 Belief updating and probability of evidence -- 5.4.2 Constraint networks -- 5.4.3 Optimization -- 5.5 Summary and bibliographical notes -- 5.6 Appendix: proofs --
505 8 _a6. AND/OR search spaces and algorithms for graphical models -- 6.1 AND/OR search trees -- 6.1.1 Weights of OR-AND arcs -- 6.1.2 Pseudo trees -- 6.1.3 Properties of AND/OR search trees -- 6.2 AND/OR search graphs -- 6.2.1 Generating compact AND/OR search spaces -- 6.2.2 Building context-minimal AND/OR search graphs -- 6.3 Finding good pseudo trees -- 6.3.1 Pseudo trees created from induced graphs -- 6.3.2 Hypergraph decompositions -- 6.4 Value functions of reasoning problems -- 6.4.1 Searching AND/OR tree (AOT) and AND/OR graph (AOG) -- 6.5 General AND/OR search - AO(i) -- 6.5.1 Complexity -- 6.6 AND/OR search algorithms for mixed networks -- 6.6.1 AND/OR-CPE algorithm -- 6.6.2 Constraint propagation in AND/OR-CPE -- 6.6.3 Good and nogood learning -- 6.7 Summary and bibliographical notes -- 6.8 Appendix: proofs --
505 8 _a7. Combining search and inference: trading space for time -- 7.1 The cutset-conditioning scheme -- 7.1.1 Cutset-conditioning for constraints -- 7.1.2 General cutset-conditioning -- 7.1.3 Alternating conditioning and elimination -- 7.2 The super-cluster schemes -- 7.3 Trading time and space with AND/OR search -- 7.3.1 AND/OR cutset-conditioning -- 7.3.2 Algorithm adaptive caching (AOC(q)) -- 7.3.3 Relations between AOC(q), AO-ALT-VEC(q) and AO-VEC(q) -- 7.3.4 AOC(q) compared with STCE(q) -- 7.4 Summary and bibliographical notes -- 7.5 Appendix: proofs --
505 8 _a8. Conclusion -- Bibliography -- Author's biography.
506 1 _aAbstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0 _aCompendex
510 0 _aINSPEC
510 0 _aGoogle scholar
510 0 _aGoogle book search
520 3 _aGraphical models (e.g., Bayesian and constraint networks, influence diagrams, and Markov decision processes) have become a central paradigm for knowledge representation and reasoning in both artificial intelligence and computer science in general. These models are used to perform many reasoning tasks, such as scheduling, planning and learning, diagnosis and prediction, design, hardware and software verification, and bioinformatics. These problems can be stated as the formal tasks of constraint satisfaction and satisfiability, combinatorial optimization, and probabilistic inference. It is well known that the tasks are computationally hard, but research during the past three decades has yielded a variety of principles and techniques that significantly advanced the state of the art. In this book we provide comprehensive coverage of the primary exact algorithms for reasoning with such models. The main feature exploited by the algorithms is the model's graph. We present inference-based, message-passing schemes (e.g., variable-elimination) and search-based, conditioning schemes (e.g., cycle-cutset conditioning and AND/OR search). Each class possesses distinguished characteristics and in particular has different time vs. space behavior. We emphasize the dependence of both schemes on few graph parameters such as the treewidth, cycle-cutset, and (the pseudo-tree) height. We believe the principles outlined here would serve well in moving forward to approximation and anytime-based schemes. The target audience of this book is researchers and students in the artificial intelligence and machine learning area, and beyond.
530 _aAlso available in print.
588 _aTitle from PDF title page (viewed on January 13, 2014).
650 0 _aGraphical modeling (Statistics)
650 0 _aBayesian statistical decision theory.
650 0 _aReasoning.
650 0 _aAlgorithms.
653 _agraphical models
653 _aBayesian networks
653 _aconstraint networks
653 _aMarkov networks
653 _ainduced-width
653 _atreewidth
653 _acycle-cutset
653 _aloop-cutset
653 _apseudo-tree
653 _abucket-elimination
653 _avariable-elimination
653 _aAND/OR search
653 _aconditioning
653 _areasoning
653 _ainference
653 _aknowledge representation
776 0 8 _iPrint version:
_z9781627051972
830 0 _aSynthesis digital library of engineering and computer science.
830 0 _aSynthesis lectures on artificial intelligence and machine learning ;
_v# 23.
_x1939-4616
856 4 2 _3Abstract with links to resource
_uhttp://ieeexplore.ieee.org/servlet/opac?bknumber=6812756
856 4 0 _3Abstract with links to full text
_uhttp://dx.doi.org/10.2200/S00529ED1V01Y201308AIM023
999 _c562050
_d562050