Ideal Observer Analysis

Ideal Observer Analysis Wilson S. Geisler University of Texas at Austin (to appear in Visual Neurosciences, MIT press) 1.0 Introduction................................................................................................................... 1 2.0 Basic concepts and formulas......................................................................................... 2 2.1 Bayesian ideal observers........................................................................................... 3 2.2 Constrained Bayesian ideal observers ...................................................................... 5 3.0 Detection, discrimination and identification................................................................. 7 3.1 Optimal discrimination given statistically independent sources of information ...... 8 3.2 Photon noise............................................................................................................ 10 3.3 Optics and photoreceptors....................................................................................... 14 3.3 Neural factors in the retina and primary visual cortex............................................ 18 3.4 Pixel noise, neural noise and central efficiency...................................................... 21 4.0 Natural scene statistics and natural selection.............................................................. 23 4.1 Maximum fitness ideal observers ........................................................................... 25 4.2 Bayesian natural selection....................................................................................... 27 5.0 Conclusion .................................................................................................................. 29 6.0 References................................................................................................................... 29

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