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
Chain Rule for Bayesian Network
Chain Rule for Bayesian Network
Chain Rule for 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
Evidential Reasoning
Evidential Reasoning
Intercausal Reasoning
Intercausal Reasoning
Intercausal Reasoning
When can X Influence Y?
When Can X Influence Y Given Evidence About Z
When Can X Influence Y Given Evidence About Z
When Can X Influence Y Given Evidence About Z