Information as a measure of variation

In many applications of information theory, information measures the reduction of uncertainty that results from the knowledge that an event has occurred. Even so, an item of information learned need not be the occurrence of an event but, rather, the change in probability distribution associated with an ensemble of events. This paper examines the basic account of information, which focuses on events, and reviews how it may be naturally generalized to probability distributions/measures. The resulting information measure is special case of the Rényi information divergence (also known as the Rényi entropy). This information measure, herein dubbed the variational information, meaningfully assigns a numerical bit-value to arbitrary state transitions of physical systems. The information topology of these state transitions is characterized canonically by a right and left continuity spectrum defined in terms of the Kantorovich- Wasserstein metric. These continuity spectra provide a theoretical framework for characterizing the informational continuity of evolving systems and for rigorously assessing the degree to which such systems exhibit, or fail to exhibit, continuous change.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,692
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

18 ( #267,956 of 2,158,407 )

Recent downloads (6 months)

1 ( #354,697 of 2,158,407 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums