Data Set Models and Exponential Families in Statistical Physics and Beyond

Details Data Set Models and Exponential Families in Statistical Physics and Beyond Data Set Models and Exponential Families in Statistical Physics and Beyond

2011-11-02

arxiv.org/abs/1111.0490v1

Physics

Mathematical Physics

Scientific paper

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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