Tsallis entropy: How unique?
Sumiyoshi Abe (Institute of Physics, University of Tsukuba, Ibaraki,, Japan)
TL;DR
This paper demonstrates that Tsallis entropy can be uniquely identified within a class of generalized entropies based on thermodynamics, stability, and axiomatic principles, highlighting its distinctive theoretical foundation.
Contribution
It establishes the unique characterization of Tsallis entropy among generalized entropies through thermodynamic and axiomatic criteria.
Findings
Tsallis entropy is uniquely determined by thermodynamic principles.
Stability considerations support the uniqueness of Tsallis entropy.
Axiomatic foundations underpin the special status of Tsallis entropy.
Abstract
It is shown how, among a class of generalized entropies, the Tsallis entropy can uniquely be identified by the principles of thermodynamics, the concept of stability and the axiomatic foundation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.