Title
Data set models and exponential families in statistical physics and beyond Data set models and exponential families in statistical physics and beyond
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Singapore ,
Subject
Physics
Source (journal)
Modern physics letters B. - Singapore
Volume/pages
26(2012) :10 , p. 1250062,1-1250062,19
ISSN
0217-9849
Article Reference
1250062
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The exponential family of models is defined in a general setting, not relying on probability theory. Some results of information geometry are shown to remain valid. Exponential families both of classical and of quantum mechanical statistical physics fit into the new formalism. Other less obvious applications are predicted. For instance, quantum states can be modeled as points in a classical phase space and the resulting model belongs to the exponential family.
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