Joint Entropy - Definition

Definition

The joint entropy of two variables and is defined as

where and are particular values of and, respectively, is the probability of these values occurring together, and is defined to be 0 if .

For more than two variables this expands to

where are particular values of, respectively, is the probability of these values occurring together, and is defined to be 0 if .

Read more about this topic:  Joint Entropy

Famous quotes containing the word definition:

    “Perhaps the best definition of progress would be the continuing efforts of men and women to narrow the gap between the convenience of the powers that be and the unwritten charter.”
    —Nadine Gordimer (b. 1923)

    “It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possess—after many mysteries—what one loves.”
    —François, Duc De La Rochefoucauld (1613–1680)

    “... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
    —George Eliot [Mary Ann (or Marian)