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Images typically
have strong pair-wise correlations.
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Learning higher
order statistics is difficult when there are
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strong pair-wise
correlations.
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Small
changes in parameter values that improve the
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modeling
of higher order statistics may be rejected
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because
they form a slightly worse model of the much
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stronger
pair-wise statistics.
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So we often
remove the second-order statistics before
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trying to learn
the higher-order statistics.
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