Shannon Entropy from Category Theory
John Baez (U.C. Riverside)
Abstract: Shannon entropy is a powerful concept. But what properties single out Shannon entropy as special? Instead of focusing on the entropy of a probability measure on a finite set, it can help to focus on the "information loss", or change in entropy, associated with a measure-preserving function. Shannon entropy then gives the only concept of information loss that is functorial, convex-linear and continuous.
This is joint work with Tom Leinster and Tobias Fritz.
data structures and algorithmsmachine learningmathematical physicsinformation theoryoptimization and controldata analysis, statistics and probability
Audience: researchers in the topic
Mathematics, Physics and Machine Learning (IST, Lisbon)
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