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Chain Rule for Kolmogorov Complexity

Penned By Frederic P. Miller
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4.85
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Chain Rule for Kolmogorov Complexity

Penned By Frederic P. Miller
4.85 90,192 Ratings
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Editor's Note:
High Quality Content by WIKIPEDIA articles! The chain rule for Kolmogorov complexity is an analogue of the chain rule for information entropy, which states: H(X, Y) = H(X) + H(Y - X). That is, the combined randomness of two sequences X and Y is the sum of the randomness of X plus whatever randomness is left in Y once we know X. This follows immediately from the definitions of conditional and joint entropy fact from probability theory that the joint probability is the product of the marginal and conditional probability: The equivalent statement for Kolmogorov complexity does not hold exactly; it is only true up to a logarithmic factor: K(X, Y) = K (X) + K(Y - X) + O(log(K(X, Y)))

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Length 76 Pages
Imprint Alphascript Publishing
Released August 28, 2010
Identifier (ISBN) 10626222
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Frederic P.  Miller
The Mind Behind the Work
Frederic P. Miller

Frederic P. Miller is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Frederic P. Miller enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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