|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
18 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
A Characterization of Entropy in Terms of Information Loss | | John C. Baez
; Tobias Fritz
; Tom Leinster
; | | Date: |
9 Jun 2011 | | Abstract: | There are numerous characterizations of Shannon entropy and Tsallis entropy
as measures of information obeying certain properties. Using work by Faddeev
and Furuichi, we derive a very simple characterization. Instead of focusing on
the entropy of a probability measure on a finite set, this characterization
focuses on the "information loss", or change in entropy, associated with a
measure-preserving function. We show that Shannon entropy gives the only
concept of information loss that is functorial, convex-linear and continuous.
This characterization naturally generalizes to Tsallis entropy as well. | | Source: | arXiv, 1106.1791 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER