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| 正則化ガウス混合モデル× | ベイズ混合ガウスモデル× | |
|---|---|---|
| 分野 | 機械学習 | 機械学習 |
| 系統 | Machine learning | Machine learning |
| 提唱年≠ | 2000s–2010s | 1999–2006 |
| 提唱者≠ | Fraley, C. & Raftery, A. E. (regularization formalized); sklearn team (practical reg_covar parameter) | Attias, H.; Bishop, C. M. |
| 種類≠ | Probabilistic clustering with regularization | Probabilistic clustering / density estimation |
| 原典≠ | Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631. DOI ↗ | Bishop, C. M. (2006). Pattern Recognition and Machine Learning (Ch. 10). Springer. ISBN: 978-0-387-31073-2 |
| 別名 | Regularized GMM, GMM with covariance regularization, stabilized Gaussian mixture model, penalized GMM | Bayesian GMM, Variational Gaussian Mixture, VBGMM, Dirichlet Process Gaussian Mixture |
| 関連≠ | 5 | 4 |
| 概要≠ | A Regularized Gaussian Mixture Model (GMM) adds a small positive constant to the diagonal of each component covariance matrix during the Expectation-Maximization algorithm, preventing singular or near-singular matrices that cause numerical failures when the data are sparse, high-dimensional, or contain near-duplicate observations. | The Bayesian Gaussian Mixture Model places prior distributions over all mixture parameters and infers their posteriors — typically via Variational Bayes or MCMC — rather than fitting fixed point estimates. This yields principled uncertainty quantification, automatic selection of the effective number of components, and resistance to overfitting small datasets. |
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