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Bayesian networks

Developed into a systematic approach in the 1980s; a 1986 paper and a 1988 book are representative worksmatureInformationMathematics and Methodology

Definition

A method that represents dependencies between variables using a directed acyclic graph and conditional probabilities, and updates beliefs after observing evidence.

Research by Pearl and others combined probabilistic knowledge with graph structures, using conditional independence to factor complex distributions and studying efficient local message passing.

Results for tree-structured or singly connected networks cannot be generalized directly into a claim that efficient exact inference is possible for arbitrary graphs. An ordinary Bayesian network represents probabilistic dependencies; assigning it causal meaning requires additional assumptions.

Principles and impact

Problems solved

  • Organizes knowledge and supports inference when information is incomplete and uncertain.

Principles

  • Factors a joint distribution using conditional probabilities, then computes posterior probabilities from evidence.

Improvements

Not recorded

Significance

  • Provides systematic tools for reasoning under uncertainty in AI.

History and applications

People

Judea Pearl

Organizations

Not recorded

Events

Not recorded

Applications

Reasoning under uncertainty、Diagnostic support

Limitations

  • Network structures and probabilities need supporting evidence, and inference in complex networks may be expensive; correlation does not automatically imply causation.

Upstream and downstream relations

Upstream

No direct upstream relations recorded

Downstream

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