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:

    “I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
    —Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)

    “No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
    —Florence Nightingale (1820–1910)

    “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)