Bayesian Networks and Influence Diagrams: A Guide to Construction and Analysis

Probabilistic networks, also known as Bayesian networks and influence diagrams, have become one of the most promising technologies in the area of applied artificial intelligence, offering intuitive, efficient, and reliable methods for diagnosis, prediction, decision making, classification, troubleshooting, and data mining under uncertainty. Bayesian Networks and Influence Diagrams: A Guide to Construction and Analysis provides a comprehensive guide for practitioners who wish to understand, construct, and analyze intelligent systems for decision support based on probabilistic networks. Intended primarily for practitioners, this book does not require sophisticated mathematical skills or deep understanding of the underlying theory and methods nor does it discuss alternative technologies for reasoning under uncertainty. The theory and methods presented are illustrated through more than 140 examples, and exercises are included for the reader to check his/her level of understanding. The techniques and methods presented for knowledge elicitation, model construction and verification, modeling techniques and tricks, learning models from data, and analyses of models have all been developed and refined on the basis of numerous courses that the authors have held for practitioners worldwide.

[1]  C. N. Liu,et al.  Approximating discrete probability distributions with dependence trees , 1968, IEEE Trans. Inf. Theory.

[2]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[3]  Edward H. Shortliffe,et al.  A model of inexact reasoning in medicine , 1990 .

[4]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[5]  R. W. Robinson Counting unlabeled acyclic digraphs , 1977 .

[6]  A. Tversky,et al.  The framing of decisions and the psychology of choice. , 1981, Science.

[7]  Scott M. Olmsted On representing and solving decision problems , 1983 .

[8]  N. Wermuth,et al.  Graphical and recursive models for contingency tables , 1983 .

[9]  Judea Pearl,et al.  A Computational Model for Causal and Diagnostic Reasoning in Inference Systems , 1983, IJCAI.

[10]  David Heckerman,et al.  Probabilistic Interpretation for MYCIN's Certainty Factors , 1990, UAI.

[11]  C. Robert Kenley INFLUENCE DIAGRAM MODELS WITH CONTINUOUS VARIABLES , 1986 .

[12]  A. F. Smith,et al.  Statistical analysis of finite mixture distributions , 1986 .

[13]  Ross D. Shachter Evaluating Influence Diagrams , 1986, Oper. Res..

[14]  David J. Spiegelhalter,et al.  Local computations with probabilities on graphical structures and their application to expert systems , 1990 .

[15]  Kristian G. Olesen,et al.  HUGIN - A Shell for Building Bayesian Belief Universes for Expert Systems , 1989, IJCAI.

[16]  Steen Andreassen,et al.  A munin network for the median nerve - a case study on loops , 1989, Appl. Artif. Intell..

[17]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[18]  Dan Geiger,et al.  Identifying independence in bayesian networks , 1990, Networks.

[19]  Steffen L. Lauritzen,et al.  Bayesian updating in causal probabilistic networks by local computations , 1990 .

[20]  N. Wermuth,et al.  On Substantive Research Hypotheses, Conditional Independence Graphs and Graphical Chain Models , 1990 .

[21]  David J. Spiegelhalter,et al.  Sequential updating of conditional probabilities on directed graphical structures , 1990, Networks.

[22]  M. Frydenberg The chain graph Markov property , 1990 .

[23]  Gregory F. Cooper,et al.  The Computational Complexity of Probabilistic Inference Using Bayesian Belief Networks , 1990, Artif. Intell..

[24]  Steffen L. Lauritzen,et al.  Independence properties of directed markov fields , 1990, Networks.

[25]  P. Spirtes,et al.  An Algorithm for Fast Recovery of Sparse Causal Graphs , 1991 .

[26]  Kathryn B. Laskey Conflict and Surprise: Heuristics for Model Revision , 1994, UAI.

[27]  L. Zadeh,et al.  Fuzzy Logic for the Management of Uncertainty , 1992 .

[28]  Gregory F. Cooper,et al.  A Bayesian Method for the Induction of Probabilistic Networks from Data , 1992 .

[29]  Pat Langley,et al.  An Analysis of Bayesian Classifiers , 1992, AAAI.

[30]  Ross D. Shachter,et al.  Decision Making Using Probabilistic Inference Methods , 1992, UAI.

[31]  S. Lauritzen Propagation of Probabilities, Means, and Variances in Mixed Graphical Association Models , 1992 .

[32]  Judea Pearl,et al.  An Algorithm for Deciding if a Set of Observed Independencies Has a Causal Explanation , 1992, UAI.

[33]  A. P. Dawid,et al.  Applications of a general propagation algorithm for probabilistic expert systems , 1992 .

[34]  Henri Jacques Suermondt,et al.  Explanation in Bayesian belief networks , 1992 .

[35]  David Heckerman,et al.  Causal Independence for Knowledge Acquisition and Inference , 1993, UAI.

[36]  Sampath Srinivas,et al.  A Generalization of the Noisy-Or Model , 1993, UAI.

[37]  Francisco Javier Díez,et al.  Parameter adjustment in Bayes networks. The generalized noisy OR-gate , 1993, UAI.

[38]  Michael Luby,et al.  Approximating Probabilistic Inference in Bayesian Belief Networks is NP-Hard , 1993, Artif. Intell..

[39]  Kathryn B. Laskey Sensitivity analysis for probability assessments in Bayesian networks , 1995, IEEE Trans. Syst. Man Cybern..

[40]  Frank Jensen,et al.  From Influence Diagrams to junction Trees , 1994, UAI.

[41]  David Heckerman,et al.  A New Look at Causal Independence , 1994, UAI.

[42]  Frank Jensen,et al.  Optimal junction Trees , 1994, UAI.

[43]  Gregory M. Provan,et al.  Knowledge Engineering for Large Belief Networks , 1994, UAI.

[44]  Young-Gyun Kim,et al.  On the Detection of Conflicts in Diagnostic Bayesian Networks Using Abstraction , 1995, UAI.

[45]  S. Lauritzen The EM algorithm for graphical association models with missing data , 1995 .

[46]  David Maxwell Chickering,et al.  Learning Bayesian Networks is NP-Complete , 2016, AISTATS.

[47]  Christopher Meek,et al.  Causal inference and causal explanation with background knowledge , 1995, UAI.

[48]  Uffe Kjærulff,et al.  dHugin: a computational system for dynamic time-sliced Bayesian networks , 1995 .

[49]  Avi Pfeffer,et al.  Object-Oriented Bayesian Networks , 1997, UAI.

[50]  Enrique F. Castillo,et al.  Sensitivity analysis in discrete Bayesian networks , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[51]  Charles M. Grinstead,et al.  Introduction to probability , 1999, Statistics for the Behavioural Sciences.

[52]  Yan Lin,et al.  Computational Advantages of Relevance Reasoning in Bayesian Belief Networks , 1997, UAI.

[53]  Kathryn B. Laskey,et al.  Network Fragments: Representing Knowledge for Constructing Probabilistic Models , 1997, UAI.

[54]  David Heckerman,et al.  A Tutorial on Learning with Bayesian Networks , 1998, Learning in Graphical Models.

[55]  Nir Friedman,et al.  The Bayesian Structural EM Algorithm , 1998, UAI.

[56]  Anders L. Madsen,et al.  ProbSy--A System for the Calculation of Probabilities in the Card Game Bridge , 1998, FLAIRS.

[57]  Ross D. Shachter Bayes-Ball: The Rational Pastime (for Determining Irrelevance and Requisite Information in Belief Networks and Influence Diagrams) , 1998, UAI.

[58]  L. C. van der Gaag,et al.  Practicable sensitivity analysis of Bayesian belief networks , 1998 .

[59]  Xavier Boyen,et al.  Tractable Inference for Complex Stochastic Processes , 1998, UAI.

[60]  Anders L. Madsen,et al.  LAZY Propagation: A Junction Tree Inference Algorithm Based on Lazy Evaluation , 1999, Artif. Intell..

[61]  Silja Renooij,et al.  Talking probabilities: communicating probabilistic information with words and numbers , 1999, Int. J. Approx. Reason..

[62]  Thomas D. Nielsen,et al.  Welldefined Decision Scenarios , 1999, UAI.

[63]  Richard Scheines,et al.  Causation, Prediction, and Search, Second Edition , 2000, Adaptive computation and machine learning.

[64]  J. Pearl Causality: Models, Reasoning and Inference , 2000 .

[65]  Martin Neil,et al.  Building large-scale Bayesian networks , 2000, The Knowledge Engineering Review.

[66]  Linda C. van der Gaag,et al.  Making Sensitivity Analysis Computationally Efficient , 2000, UAI.

[67]  Steffen L. Lauritzen,et al.  Stable local computation with conditional Gaussian distributions , 2001, Stat. Comput..

[68]  Anders L. Madsen,et al.  Solving Influence Diagrams using HUGIN, Shafer-Shenoy and Lazy Propagation , 2001, UAI.

[69]  Finn V. Jensen,et al.  Bayesian Networks and Decision Graphs , 2001, Statistics for Engineering and Information Science.

[70]  Steffen L. Lauritzen,et al.  Representing and Solving Decision Problems with Limited Information , 2001, Manag. Sci..

[71]  Silja Renooij,et al.  Probability elicitation for belief networks: issues to consider , 2001, The Knowledge Engineering Review.

[72]  Silja Renooij,et al.  Analysing Sensitivity Data from Probabilistic Networks , 2001, UAI.

[73]  Robert G. Cowell,et al.  Conditions Under Which Conditional Independence and Scoring Methods Lead to Identical Selection of Bayesian Network Models , 2001, UAI.

[74]  Adnan Darwiche,et al.  When do Numbers Really Matter? , 2001, UAI.

[75]  Thomas D. Nielsen Decomposition of Influence Diagrams , 2001, ECSQARU.

[76]  David Maxwell Chickering,et al.  Optimal Structure Identification With Greedy Search , 2003, J. Mach. Learn. Res..

[77]  Adnan Darwiche,et al.  A distance measure for bounding probabilistic belief change , 2002, Int. J. Approx. Reason..

[78]  Nevin Lianwen Zhang,et al.  Hierarchical latent class models for cluster analysis , 2002, J. Mach. Learn. Res..

[79]  Finn Verner Jensen,et al.  An Extension Of Lazy Evaluation For Influence Diagrams Avoiding Redundant Variables In The Potentials , 2002, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[80]  Haiqin Wang,et al.  Using Sensitivity Analysis for Selective Parameter Update in Bayesian Network Learning , 2002 .

[81]  Silja Renooij,et al.  Probabilities for a probabilistic network: a case study in oesophageal cancer , 2002, Artif. Intell. Medicine.

[82]  Christopher Meek,et al.  Monotone DAG Faithfulness: A Bad Assumption , 2003 .

[83]  Prakash P. Shenoy,et al.  Decision making with hybrid influence diagrams using mixtures of truncated exponentials , 2004, Eur. J. Oper. Res..

[84]  Nir Friedman,et al.  Bayesian Network Classifiers , 1997, Machine Learning.

[85]  Anders L. Madsen,et al.  A Differential Semantics of Lazy AR Propagation , 2005, UAI.

[86]  Anders L. Madsen,et al.  Solving linear-quadratic conditional Gaussian influence diagrams , 2005, Int. J. Approx. Reason..

[87]  Anders L. Madsen,et al.  The Hugin Tool for Probabilistic Graphical Models , 2005, Int. J. Artif. Intell. Tools.

[88]  Prakash P. Shenoy Inference in Hybrid Bayesian Networks Using Mixtures of Gaussians , 2006, UAI.

[89]  W. R. Shao,et al.  Bayesian Networks and Influence Diagrams: A Guide to Construction and Analysis , 2008 .

[90]  Arthur P. Dempster,et al.  A Generalization of Bayesian Inference , 1968, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[91]  Adnan Darwiche,et al.  Modeling and Reasoning with Bayesian Networks , 2009 .

[92]  Norman Fenton,et al.  Modelling mutually exclusive causes in Bayesian networks , 2011 .