Bayesian Networks. Contents Semantics and factorization Reasoning Patterns Flow of Probabilistic Influence.

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Presentation transcript:

Bayesian Networks

Contents Semantics and factorization Reasoning Patterns Flow of Probabilistic Influence

Toy Example Grade Course Difficulty Student Intelligence SAT Recommendation Letter

Variables Dependency Model

Distribution Representation

Chain Rule for Bayesian Network

Bayesian Network

BN Is a Legal Distribution ? Condition 1

BN Is a Legal Distribution ? Condition 2

BN Is a Legal Distribution ? Condition 2

BN Is a Legal Distribution ? Condition 2

BN Is a Legal Distribution ? Condition 2

BN Is a Legal Distribution ? Condition 2

P Factorizes over G

Genetics Inheritance

BN for Genetic Inheritance

The Student BN Network

Casual Reasoning

Evidential Reasoning

Intercausal Reasoning

When can X Influence Y?

Active Trails

When Can X Influence Y Given Evidence About Z

Active Trails