4_21_09_BayesianInference

4_21_09_BayesianInference - Outline of the Lecture Outline...

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Unformatted text preview: Outline of the Lecture Outline of the Lecture Bayesian Inference Bayesian Inference Bayesian Decision Device Optimization ROC Bayesian Decision Device Optimization ROC Analysis Analysis Bayesian Decision Theory Bayesian Decision Theory Helps Understanding Helps Understanding Inference in the Brain Inference in the Brain Computations performed by neural networks can be expressed as energy minimization. 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 Neural Response ( r ) Sensory Input (s) a b c Bayes Theorem P s | r ( 29 = Π(ρ| σ...
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This note was uploaded on 06/08/2009 for the course BME 575L taught by Professor Grzywacz during the Spring '09 term at USC.

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4_21_09_BayesianInference - Outline of the Lecture Outline...

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