The Probabilistic Mind: Prospects for Bayesian Cognitive ScienceThe rational analysis method, first proposed by John R. Anderson, has been enormously influential in helping us understand high-level cognitive processes. The Probabilistic Mind is a follow-up to the influential and highly cited 'Rational Models of Cognition' (OUP, 1998). It brings together developments in understanding how, and how far, high-level cognitive processes can be understood in rational terms, and particularly using probabilistic Bayesian The Probabilistic Mind will be valuable for psychologists and philosophers interested in cognition. |
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( 10 ) The key difference from Bayesian inference with finitely many hypotheses is that the posterior distribution is now characterized by a probability density , and the sum over hypotheses becomes an integral .
Using a little calculus , it is possible to show that the posterior distribution over produced by a sequence d with Ny heads and N , tails is ( Ny + N , + p ( Old ) N , ! N ,! ( 13 ) This is actually a distribution of a well known form ...
... valence 85 posterior complexity distribution 390 , 392 posterior degrees of belief 132–3 , 151 posterior distribution 39–41 posterior mean 38-9 posterior odds 36–8 , 41 posterior predictive distribution 38 posterior probability 35–6 ...
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Contents
prospects for a Bayesian cognitive science | 3 |
A primer on probabilistic inference | 33 |
Rational analyses instrumentalism and implementations | 59 |
Copyright | |
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Other editions - View all
The Probabilistic Mind: Prospects for Bayesian Cognitive Science Nick Chater,Mike Oaksford Limited preview - 2008 |
The Probabilistic Mind: Prospects for Bayesian Cognitive Science Nick Chater,Mike Oaksford No preview available - 2008 |