4_21_09_BayesianInference

4_21_09_BayesianInference - Outline of the Lecture Bayesian...

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Outline of the Lecture Outline of the Lecture Bayesian Inference Bayesian Inference Bayesian Decision           Device Optimization           ROC  Bayesian Decision           Device Optimization           ROC  Analysis  Analysis 
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Bayesian Decision Theory  Bayesian Decision Theory  Helps Understanding  Helps Understanding  Inference in the Brain Inference in the Brain    
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Computations performed by neural networks can be expressed as energy minimization.
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A link exists between energy minimization and Bayesian processes (and therefore, between these things and neural networks). P V ( 29 = ε - βΕ ς ( 29 ε - βΕ ς ( 29 ς If a system can be in a finite number of states, the transition between them tends to minimize energy (E( V )) except for noise, and the transition probabilities depend only on the current state, then in steady state The Gibbs distribution
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Neural Response ( r ) Sensory Input (s) a b c Bayes Theorem P s | r ( 29 = Π ( ρ | σ
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