Goodman - Noah D. Goodman Stanford University ngoodman@...

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Unformatted text preview: Noah D. Goodman Stanford University ngoodman@ stanford.edu A brief overview of Bayesian models Sym Sys 100 May 17, 2011 CTM CTM • The Computational Theory of Mind: The mind is an information processing systems, like a computer. • What kind of computer? Statistics and composition Statistics and composition Thought is useful in an uncertain world Statistics and composition Thought is useful in an uncertain world Statistics and composition Thought is useful in an uncertain world Why did he yell at me? Statistics and composition Thought is useful in an uncertain world Why did he yell at me? He wanted to hurt me. He thought I was a telemarketer. Statistics and composition Thought is useful in an uncertain world Why did he yell at me? He wanted to hurt me. He thought I was a telemarketer. Belief Action Desire Statistics and composition Probabilistic inference Thought is useful in an uncertain world Why did he yell at me? He wanted to hurt me. He thought I was a telemarketer. Belief Action Desire Statistics and composition Probabilistic inference Thought is useful in an uncertain world Statistics and composition Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world ..a big green bear who loves chocolate.. Statistics and composition Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world ..a big green bear who loves chocolate.. Statistics and composition Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world Statistics and composition Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world p=mv Statistics and composition Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world p=mv Statistics and composition Compositional representations Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world p=mv Statistics and composition Compositional representations Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world ∀ x King ( x ) = ⇒ Man ( x ) ∀ y Man ( y ) ⇐⇒ ¬ Woman ( y ) Statistics and composition Compositional representations Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world ∀ x King ( x ) = ⇒ Man ( x ) ∀ y Man ( y ) ⇐⇒ ¬ Woman ( y ) Generative models Probabilistic language of thought hypothesis Statistics and composition Compositional representations Probabilistic inference Thought is productive: “the inFnite use of Fnite means” Thought is useful in an uncertain world ∀ x King ( x ) = ⇒ Man ( x ) ∀ y Man ( y ) ⇐⇒ ¬ Woman ( y ) Generative models Rational analysis • To understand cognition, understand the...
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Goodman - Noah D. Goodman Stanford University ngoodman@...

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