Towards algebraic methods for maximum entropy estimation

Details Towards algebraic methods for maximum entropy estimation Towards algebraic methods for maximum entropy estimation

2008-04-07

arxiv.org/abs/0804.1083v1

Computer Science

Information Theory

Scientific paper

We show that various formulations (e.g., dual and Kullback-Csiszar iterations) of estimation of maximum entropy (ME) models can be transformed to solving systems of polynomial equations in several variables for which one can use celebrated Grobner bases methods. Posing of ME estimation as solving polynomial equations is possible, in the cases where feature functions (sufficient statistic) that provides the information about the underlying random variable in the form of expectations are integer valued.

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