A Quantum-Statistical-Mechanical Extension of Gaussian Mixture Model

Tanaka, K; Tsuda, K

doi:10.1088/1742-6596/95/1/012023

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A Quantum-Statistical-Mechanical Extension of Gaussian Mixture Model

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

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https://iopscience.iop.org/article/10.1088/1742-6596/95/1/012023/pdf
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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(1): 012023, 1-9.

Cite as: https://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.