cs 561, sessions 28 1 uncertainty probability syntax semantics inference rules

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CS 561, Sessions 28 1 Uncertainty Uncertainty Probability Syntax Semantics Inference rules

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Page 1: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 1

Uncertainty

• Uncertainty• Probability• Syntax• Semantics• Inference rules

Page 2: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 2

Uncertainty

Page 3: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 3

Methods for handling uncertainty

Page 4: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 4

Probability

Page 5: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 5

Making decisions under uncertainty

Page 6: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 6

Axioms of probability

Page 7: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 7

Syntax

Page 8: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 8

Syntax

Page 9: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 9

Syntax

Page 10: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 10

Conditional probability

Page 11: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 11

Bayes’ rule

Page 12: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 12

Normalization

Page 13: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 13

Conditioning

Page 14: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 14

Full joint distributions

Page 15: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 15

Full joint distribution

Page 16: CS 561, Sessions 28 1 Uncertainty Probability Syntax Semantics Inference rules

CS 561, Sessions 28 16

Inference from joint distributions