Geometry of maximum-entropy proofs: stationary points, convexity, Legendre transforms, exponential families

Contributors:

Date created: | Last Updated:

: DOI | ARK

Creating DOI. Please wait...

Create DOI

Category: Project

Description: This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geometric structures involved in such proofs, to explain more in detail why the maximization of the entropy can be turned into the minimization of a potential function, and to show how Lagrange transforms emerge from this. A synopsis of the main functions involved in the proof and of their very different properties is given at the end, together with a brief discussion of exponential families of probabilities, which also appear in the proof.

License: CC0 1.0 Universal

This project represents a preprint. Learn more about how to work with preprint files. View preprint

Files

Loading files...

Citation

Tags

Recent Activity

Loading logs...

This website relies on cookies to help provide a better user experience. By clicking Accept or continuing to use the site, you agree. For more information, see our Privacy Policy and information on cookie use.
Accept
×

Start managing your projects on the OSF today.

Free and easy to use, the Open Science Framework supports the entire research lifecycle: planning, execution, reporting, archiving, and discovery.

Create an Account Learn More Hide this message