Bayesian network

Definition

A Bayesian network is a probabilistic graphical model that represents a set of variables and their conditional dependencies via a directed acyclic graph (DAG). While it is one of several forms of causal notation, causal networks are special cases of Bayesian networks. Bayesian networks are ideal for taking an event that occurred and predicting the likelihood that any one of several possible known causes was the contributing factor. For example, a Bayesian network could represent the probabilistic relationships between diseases and symptoms. Given symptoms, the network can be used to compute the probabilities of the presence of various diseases.

Related concepts

Absolute error Admissible decision rule An Essay Towards Solving a Problem in the Doctrine of Chances Approximate Bayesian computation Approximate inference Artificial Intelligence (journal)Bayes' theorem Bayes factor Bayesian epistemology Bayesian estimator Bayesian hierarchical modeling Bayesian inference Bayesian information criterion Bayesian linear regression Bayesian model averaging Bayesian probability Bayesian programming Bayesian statistics Bernstein–von Mises theorem Boolean data type CRC Press Cambridge, Massachusetts Cambridge University Press Causal graph Causal inference Causal loop diagram Causal notation Causality Chain rule (probability)Chain rule of probability Chapman & Hall Chichester Chow–Liu tree Coherence (philosophical gambling strategy)Combinatorial explosion Computational intelligence Computational phylogenetics Conditional dependence Conditional independence Conditional probability Conditional probability table Conjugate prior Conjunctive normal form Cox's theorem Credible interval Cromwell's rule Cutting-plane method Cycle (graph theory)Dan Roth Data Mining and Knowledge Discovery Decision tree learning Deep belief network Dempster–Shafer theory Deterministic algorithm Directed acyclic graph Dynamic Bayesian network Empirical Bayes method Entropy rate Evidence lower bound Exhaustive search Expectation-maximization algorithm Expectation–maximization algorithm Factor graph Generalized belief propagation Glossary of graph theory Graph (discrete mathematics)Hierarchical temporal memory Importance sampling Improper prior Independent set (graph theory)Inference Influence diagram Information entropy Integer programming Integrated nested Laplace approximations Intersection number (graph theory)Jeffreys prior John Wiley & Sons Joint distribution Joint probability distribution Judea Pearl Junction tree algorithm K-tree Kalman filter Laplace's approximation Latent variable Likelihood function Likelihood principle London London Mathematical Society Loopy belief propagation Loss function MIT Press Machine learning Marginal likelihood Markov blanket Markov chain Monte Carlo Markov network Maxima and minima Maximum a posteriori estimation Maximum likelihood Maximum likelihood estimate Memory-prediction framework Michael A. Arbib Michael Luby Microsoft Research Minimum message length Mixture distribution Mixture model Morgan Kaufmann Multilevel model Mutual information NP-hard NP-hardness Naive Bayes classifier Nested sampling algorithm New York City Newcastle upon Tyne Normal distribution Nuisance variable OpenBUGS Paul Dagum Peptide sequence Peter Norvig Philosophical Transactions of the Royal Society Plate notation Polytree Posterior predictive distribution Posterior probability Principle of indifference Principle of maximum entropy Prior probability Probabilistic graphical model Probability density function Probability distribution Product measure Random variable Randomized algorithm Richard E. Neapolitan Rudolf Kruse SPSS Modeler San Francisco, California Scoring function Sensor fusion Sequence alignment Sharp-P-complete Shrinkage estimator Simpson's paradox Space–time tradeoff Speech recognition Springer Science+Business Media Staged tree (mathematics)Stan (software)Standard deviation Structural equation modeling Stuart J. Russell Subjective logic Sufficient statistic Sven Erik Jørgensen Tetration Thomas Bayes Topological ordering Treewidth Variable-order Bayesian network Variable elimination Variational Bayes Variational Bayesian methods WinBUGS Yale University Press

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