1. Bayesian Networks

2. Contents Semantics and factorization Reasoning Patterns Flow of Probabilistic Influence

3. Toy Example Grade Course Difficulty Student Intelligence SAT Recommendation Letter

4. Variables Dependency Model

5. Distribution Representation

6. Chain Rule for Bayesian Network

10. Bayesian Network

14. BN Is a Legal Distribution ? Condition 1

15. BN Is a Legal Distribution ? Condition 2

16. BN Is a Legal Distribution ? Condition 2

17. BN Is a Legal Distribution ? Condition 2

18. BN Is a Legal Distribution ? Condition 2

19. BN Is a Legal Distribution ? Condition 2

20. P Factorizes over G

21. Genetics Inheritance

22. BN for Genetic Inheritance

23. The Student BN Network

24. Casual Reasoning

27. Evidential Reasoning

29. Intercausal Reasoning

32. When can X Influence Y?

33. Active Trails

34. When Can X Influence Y Given Evidence About Z

37. Active Trails