Extension of information geometry to non-statistical systems : some examples
Faculty of Sciences. Physics

bookPart

Berlin :Springer, 2015
[*]
2015

Physics

GSI 2015 : Geometric Science of Information / Nielsen, F. [edit.]; et al.

Lecture notes in computer science

978-3-319-25039-7

E

English (eng)

University of Antwerp

Our goal is to extend information geometry to situations where statistical modeling is not obvious. The setting is that of modeling experimental data. Quite often the data are not of a statistical nature. Sometimes also the model is not a statistical manifold. An example of the former is the description of the Bose gas in the grand canonical ensemble. An example of the latter is the modeling of quantum systems with density matrices. Conditional expectations in the quantum context are reviewed. The border problem is discussed: through conditioning the model point shifts to the border of the differentiable manifold.

https://repository.uantwerpen.be/docman/iruaauth/9ad60b/128851.pdf