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Perceptual Coherence : Hearing and Seeing

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102 <strong>Perceptual</strong> <strong>Coherence</strong><br />

Buracas <strong>and</strong> Albright (1999) created a measure of the efficiency in the<br />

response by dividing the mutual information by the total information in the<br />

response:<br />

E = mutual information/total information. (3.12)<br />

The authors estimated that roughly 50% of the total information from the<br />

spike trains of the retinal ganglion cells reflects variation in luminance <strong>and</strong><br />

50% of the total information from the spike trains in the medial temporal<br />

visual region reflects the direction of motion of r<strong>and</strong>om arrays (discussed<br />

later). Borst <strong>and</strong> Theunissen (1999) also estimated that the efficiency is<br />

about 50%, <strong>and</strong> that each additional spike reduces the uncertainty by 50%.<br />

One continuing question surrounding information theory has been<br />

whether the auditory <strong>and</strong> visual systems are matched to the statistical properties<br />

of the sensory energy so that the encoding can be done in ways that minimize<br />

redundancies (there is no need to waste sensory elements on a u after<br />

encoding a q). The goal would be to avoid encoding information that is found<br />

in other parts of the signal <strong>and</strong> thereby create an efficient low-redundancy<br />

sensory code. Yet, efficiency may not be as critical as factors such as reliability,<br />

the absolute need to avoid catastrophic mistakes (not hearing or seeing<br />

the movements of predators), or the ability to encode completely novel <strong>and</strong><br />

unexpected objects. Moreover, some of the sensory information may not<br />

have any perceptual consequence or may even disallow the creation of object<br />

categories. In sum, information theory really constitutes a theory about perceptual<br />

processing <strong>and</strong> provides a way of organizing experimental outcomes,<br />

but we should be somewhat wary of assuming that sensory systems have developed<br />

to maximize the rate of mutual information transmission.<br />

Bayesian Theory: Converting Information <strong>and</strong><br />

Prior Probabilities Into Decisions<br />

Perceiving is an ongoing process made in a probabilistic world <strong>and</strong> should not<br />

be conceptualized as a series of independent one-shot decisions. The perceiver<br />

must build up the conditional probabilities Pr(s � r) <strong>and</strong> Pr(r � s), linking<br />

the neural response (i.e., the perceptual image) to the stimuli in the physical<br />

world. Without the context <strong>and</strong> physical regularities in some way limiting the<br />

open-ended set of alternatives, the perceiver would be overwhelmed by the<br />

possibilities. Expectations are built up over time as the perceiver (1) learns<br />

about the set of possible neural signals <strong>and</strong> images associated with any auditory<br />

or visual object, (2) learns about the frequency of occurrence of the objects,<br />

<strong>and</strong> (3) learns about the gains <strong>and</strong> losses associated with correct <strong>and</strong><br />

incorrect perceptual actions. Helmholtz (1867) characterized perception as<br />

unconscious inference, estimating from past experience which physical stimulus<br />

would most probably have generated the proximal excitation. Originally

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