An Introduction to Lifted Probabilistic Inference
- Length: 454 pages
- Edition: 1
- Language: English
- Publisher: The MIT Press
- Publication Date: 2021-08-17
- ISBN-10: 0262542595
- ISBN-13: 9780262542593
- Sales Rank: #4993763 (See Top 100 Books)
Recent advances in the area of lifted inference, which exploits the structure inherent in relational probabilistic models.
Statistical relational AI (StaRAI) studies the integration of reasoning under uncertainty with reasoning about individuals and relations. The representations used are often called relational probabilistic models. Lifted inference is about how to exploit the structure inherent in relational probabilistic models, either in the way they are expressed or by extracting structure from observations. This book covers recent significant advances in the area of lifted inference, providing a unifying introduction to this very active field.
After providing necessary background on probabilistic graphical models, relational probabilistic models, and learning inside these models, the book turns to lifted inference, first covering exact inference and then approximate inference. In addition, the book considers the theory of liftability and acting in relational domains, which allows the connection of learning and reasoning in relational domains.
Cover Contents List of Figures Contributors Preface I OVERVIEW 1 Statistical Relational AI: Representation, Inference and Learning 2 Modeling and Reasoning with Statistical Relational Representations 3 Statistical Relational Learning II EXACT INFERENCE 4 Lifted Variable Elimination 5 Search-Based Exact Lifted Inference 6 Lifted Aggregation and Skolemization for Directed Models 7 First-order Knowledge Compilation 8 Domain Liftability 9 Tractability through Exchangeability: The Statistics of Lifting III APPROXIMATE INFERENCE 10 Lifted Markov Chain Monte Carlo 11 Lifted Message Passing for Probabilistic and Combinatorial Problems 12 Lifted Generalized Belief Propagation: Relax, Compensate and Recover 13 Liftability Theory of Variational Inference 14 Lifted Inference for Hybrid Relational Models IV BEYOND PROBABILISTIC INFERENCE 15 Color Refinement and Its Applications 16 Stochastic Planning and Lifted Inference Bibliography Index
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