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Titlebook: Reasoning with Probabilistic and Deterministic Graphical Models; Exact Algorithms Rina Dechter Book 2013 Springer Nature Switzerland AG 201

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書(shū)目名稱(chēng)Reasoning with Probabilistic and Deterministic Graphical Models
副標(biāo)題Exact Algorithms
編輯Rina Dechter
視頻videohttp://file.papertrans.cn/823/822501/822501.mp4
叢書(shū)名稱(chēng)Synthesis Lectures on Artificial Intelligence and Machine Learning
圖書(shū)封面Titlebook: Reasoning with Probabilistic and Deterministic Graphical Models; Exact Algorithms Rina Dechter Book 2013 Springer Nature Switzerland AG 201
描述Graphical 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
出版日期Book 2013
版次1
doihttps://doi.org/10.1007/978-3-031-01566-3
isbn_ebook978-3-031-01566-3Series ISSN 1939-4608 Series E-ISSN 1939-4616
issn_series 1939-4608
copyrightSpringer Nature Switzerland AG 2013
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Inference: Bucket Elimination for Probabilistic Networks,or the three primary queries defined over probabilistic networks: (1) belief-updating or computing posterior marginals (bel) as well as finding the probability of evidence; (2) finding the most probable explanation (mpe); and (3) finding the maximum a posteriori hypothesis (map).
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AND/OR Search Spaces and Algorithms for Graphical Models,value to a variable. To recall, algorithms for processing graphical models fall into two general types: inference-based and search-based. Inference-based algorithms (., variable-elimination, tree-clustering discussed earlier) are good at exploiting the independencies displayed by the underlying grap
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Combining Search and Inference: Trading Space for Time, over an AND/OR space and if, in addition, we use context-based caching, search has the same worst-case complexity as inference, both are time and space exponentially bounded by the treewidth. However, when the treewidth is too high, the needed memory is not available and schemes that are more flexi
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Conclusion,able to general graphical models, whose functions can come from a variety of frameworks and applications (constraints, Boolean, probabilities, costs etc.). These include, constraint networks and SAT models, Bayesian networks, Markov random fields, Cost networks, and Influence diagrams. Therefore, th
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Conclusion,., but we also showed the relevance of related features such as . of pseudo trees, . and . We showed that both inference and search scheme are bounded exponentially by any of these parameters, and some combination of those hint at how we can trade memory for time.
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