Difference between revisions of "Entropy, Relative Entropy, Mutual Information"

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=== Relative Entropy ===
 
=== Relative Entropy ===
 
* a measure of the distance between two distributions
 
* a measure of the distance between two distributions
 +
* a measure of the inefficiency of assuming that the distribution is <math>q</math> when the true distribution is <math>p</math>.

Revision as of 12:54, 25 June 2020

Definitions

Entropy

  • a measure of the uncertainty of a random variable
  • The entropy of a random variable is a measure of the uncertainty of the random variable
    • it is a measure of the amount of information required on the average to describe the random variable

Relative Entropy

  • a measure of the distance between two distributions
  • a measure of the inefficiency of assuming that the distribution is when the true distribution is .