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A Quantum-Statistical-Mechanical Extension of Gaussian Mixture Model




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.

Author(s): Tanaka, K. and Tsuda, K.
Journal: Journal of Physics: Conference Series
Volume: 95
Number (issue): 012023
Pages: 1-9
Year: 2008
Month: January
Day: 0

Department(s): Empirical Inference
Bibtex Type: Article (article)

Digital: 0
DOI: 10.1088/1742-6596/95/1/012023
Language: en
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik

Links: PDF


  title = {A Quantum-Statistical-Mechanical Extension of Gaussian Mixture Model},
  author = {Tanaka, K. and Tsuda, K.},
  journal = {Journal of Physics: Conference Series},
  volume = {95},
  number = {012023},
  pages = {1-9},
  organization = {Max-Planck-Gesellschaft},
  school = {Biologische Kybernetik},
  month = jan,
  year = {2008},
  month_numeric = {1}