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For images of
digits it is possible to represent
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intermediate
intensities as if they were probabilities by
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using
“mean-field” logistic units.
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We
can treat intermediate values as the probability
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that
the pixel is inked.
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This will not
work for real images.
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In
a real image, the intensity of a pixel is almost
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always
almost exactly the average of the neighboring
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pixels.
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Mean-field
logistic units cannot represent precise
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intermediate
values.
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