measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory...
61 KB (7,725 words) - 00:48, 6 December 2024
discusses how information theory (a branch of mathematics studying the transmission, processing and storage of information) is related to measure theory (a branch...
12 KB (1,762 words) - 22:37, 8 November 2024
In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential...
70 KB (10,023 words) - 23:56, 5 December 2024
Integrated information theory (IIT) proposes a mathematical model for the consciousness of a system. It comprises a framework ultimately intended to explain...
38 KB (4,165 words) - 15:13, 29 October 2024
information theory (AIT) is a branch of theoretical computer science that concerns itself with the relationship between computation and information of...
22 KB (2,582 words) - 21:36, 25 May 2024
In information theory, redundancy measures the fractional difference between the entropy H(X) of an ensemble X, and its maximum possible value log (...
8 KB (1,123 words) - 00:53, 6 December 2024
until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the...
35 KB (5,548 words) - 11:47, 14 December 2024
central concept of fuzzy measure theory is the fuzzy measure (also capacity, see ), which was introduced by Choquet in 1953 and independently defined by...
9 KB (1,546 words) - 23:40, 19 September 2023
mathematics, computable measure theory is the part of computable analysis that deals with effective versions of measure theory. Jeremy Avigad (2012), "Inverting...
731 bytes (85 words) - 23:07, 2 June 2017
properties of the dynamics. Ergodic theory, like probability theory, is based on general notions of measure theory. Its initial development was motivated...
26 KB (3,727 words) - 02:25, 16 December 2024