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Day 1 Intro to RSA Judith Degen XPrag.de Methods workshop

Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

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Page 1: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Day 1 —

Intro to RSAJudith Degen

XPrag.de Methods workshop

Page 2: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

“[O]ne of my avowed aims is to see talking as a special case or variety of purposive, indeed rational, behaviour.”

Grice, 1975

Maxims of conversation Be truthful, informative, relevant, brief, clear ...

Page 3: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Views of language

Page 4: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

This courseDay 1

Review of probability theory, reference

Day 2

Scalar and ignorance implicatures

Day 3

Gradable adjectives OR hyperbole and QUD

Page 5: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

ResourcesWebPPLWebPPL documentationwebppl-viz documentationRepository of models (WebPPL, Church)

Web books:Probabilistic Language Understanding (GS & MH & JD)Probabilistic Language Understanding (GS & MH & MF & JD)Probabilistic Models of Cognition (NG & JT)

Page 6: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Interpretations of probability

• Frequentist: empirical/long-run proportion • Propensity/intrinsic chance• Bayesian: degree of belief

All are legitimate for certain purposes.

For cognitive modeling, the Bayesian interpretation is of primary interest.

Page 7: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Probability distribution

Page 8: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Notation and terminology

Page 9: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Conditional probability

Page 10: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Bayes’ rule

Page 11: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

Unpacking Bayes

Page 12: Day 1 Intro to RSA - xprag.de fileThis course Day 1 Review of probability theory, reference Day 2 Scalar and ignorance implicatures Day 3 Gradable adjectives OR hyperbole and QUD

The normalizing constant