Probabilistic Proofs of Non-probabilistic Theorems - Information Theory

Information Theory

  • The proof of Shannon's channel coding theorem uses random coding to show the existence of a code that achieves channel capacity.

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Famous quotes containing the words information and/or theory:

    The real, then, is that which, sooner or later, information and reasoning would finally result in, and which is therefore independent of the vagaries of me and you. Thus, the very origin of the conception of reality shows that this conception essentially involves the notion of a COMMUNITY, without definite limits, and capable of a definite increase of knowledge.
    Charles Sanders Peirce (1839–1914)

    No one thinks anything silly is suitable when they are an adolescent. Such an enormous share of their own behavior is silly that they lose all proper perspective on silliness, like a baker who is nauseated by the sight of his own eclairs. This provides another good argument for the emerging theory that the best use of cryogenics is to freeze all human beings when they are between the ages of twelve and nineteen.
    Anna Quindlen (20th century)