Data set models and exponential families in statistical physics and beyondData set models and exponential families in statistical physics and beyond
Faculty of Sciences. Physics

Theory of quantum systems and complex systems

Mathematical Physics

article

2012Singapore, 2012

Physics

Modern physics letters B. - Singapore

26(2012):10, p. 1250062,1-1250062,19

0217-9849

1250062

E-only publicatie

English (eng)

University of Antwerp

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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