Perplexity

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Dictionary Meaning and Definition on 'Perplexity'

Perplexity Meaning and Definition from WordNet (r) 2.0
    perplexity n : trouble or confusion resulting from complexity
Perplexity Meaning and Definition from Webster's Revised Unabridged Dictionary (1913)
    Perplexity \Per*plex"i*ty\, n.; pl. Perplexities. [L. perplexitas: cf. F. perplexit['e].] The quality or state of being perplexed or puzzled; complication; intricacy; entanglement; distraction of mind through doubt or difficulty; embarrassment; bewilderment; doubt. By their own perplexities involved, They ravel more. --Milton.
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Wikipedia Meaning and Definition on 'Perplexity'


Perplexity is a measurement in information theory. It is defined as b raised to the power of entropy in base b, or more often as b raised to the power of cross-entropy in base b. The latter definition is commonly used to compare probability models.

The perplexity of a discrete probability distribution p is defined as

where H(p) is the entropy of the distribution and x ranges over events.

One may also define the perplexity of a random variable X as the perplexity of the distribution over its possible values x.

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