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Probabilistic Models of Cognition: Generative models Table of - - PowerPoint PPT Presentation
Probabilistic Models of Cognition: Generative models Table of - - PowerPoint PPT Presentation
Probabilistic Models of Cognition: Generative models Table of Contents Chapter Content Generative Model Example: Plinko Machine Working Model can be used captures some for simulation structure of the world in useful way
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Chapter Content
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Generative Model
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Example: Plinko Machine
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Working Model can be used for simulation captures some structure of the world in useful way
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Plinko Machine Demo
- Simulate outcomes (data) many times, shape
emerges
- Reason about ‘shape of expected outcomes’ (with
probabilistic concepts)
- How to formally describe simulations/working
models?
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Building Generative Models
…
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Examples with Flip
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Flip
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Flip Sum
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Flipping Coins Bend
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Flipping Coins Bend
- var bend = function(coin) {
return function() { (coin() == 'h') ? makeCoin(0.7)() : makeCoin(0.1)() } }
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Flipping Coins Bend
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Flipping Coins Repeat Sum
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Causal Models in Medical Diagnosis
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Advanced Causal Models in Medical Diagnosis
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Probability Concepts and WebPPL
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Probability
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Probability Distribution
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Distributions in WebPPL
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Distributions in WebPPL
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Constructing marginal distributions: Infer
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Constructing marginal distributions: Infer
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The Rules of Probability
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Product Rule
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Product Rule
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Product Rule
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Product Rule
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Product Rule
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Product Rule
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Sum Rule
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Sum Rule
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Sum Rule
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Sum Rule and Product Rule
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Sum Rule and Product Rule
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Sum Rule and Product Rule
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Advanced WebPPL
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Stochastic recursion
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Persistent Randomness: mem
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Persistent Randomness: mem
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Persistent Randomness: mem
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Persistent Randomness: mem
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Example: Intuitive physics
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Example: Intuitive physics
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Example: Intuitive physics
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Example: Intuitive physics
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Example: Intuitive physics
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Summary of Chapter Content
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Exercises
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Exercise 1 a)
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Exercise 1 a)
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Exercise 1 a)
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Exercise 1 b)
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Exercise 1 c)
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Exercise 1 c)
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Exercise 1 c)
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Exercise 1 c)
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Exercise 2
Just one execution of flip
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Exercise 2 b)
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Exercise 2 c)
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Exercise 3
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Exercise 3 a)
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Exercise 3 b)
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Exercise 4 a)
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Exercise 4 b)
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Exercise 4 c)
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Exercise 4 c)
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Exercise 5
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Exercise 5 a)
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Exercise 5 a)
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Exercise 6 a)
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Exercise 6 b)
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Exercise 7 a)
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Exercise 7 b)
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Exercise 8 a)
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