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A Quantum-Statistical-Mechanical Extension of Gaussian Mixture Model

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons84265

Tsuda,  K
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Citation

Tanaka, K., & Tsuda, K. (2008). A Quantum-Statistical-Mechanical Extension of Gaussian Mixture Model. Journal of Physics: Conference Series, 95(012023), 1-9. doi:10.1088/1742-6596/95/1/012023.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-CA97-0
Abstract
We propose an extension of Gaussian mixture models in the statistical-mechanical point of view. The conventional Gaussian mixture models are formulated to divide all points in given data to some kinds of classes. We introduce some quantum states constructed by superposing conventional classes in linear combinations. Our extension can provide a new algorithm in classifications of data by means of linear response formulas in the statistical mechanics.