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| ガウス混合モデル× | ロジスティック回帰× | |
|---|---|---|
| 分野≠ | 機械学習 | 研究統計 |
| 系統≠ | Machine learning | Process / pipeline |
| 提唱年≠ | 1977 | 1958 |
| 提唱者≠ | Dempster, Laird & Rubin (EM algorithm) | David Roxbee Cox |
| 種類≠ | Probabilistic (soft) clustering — mixture model | Method |
| 原典≠ | Dempster, A.P., Laird, N.M. & Rubin, D.B. (1977). Maximum Likelihood from Incomplete Data via the EM Algorithm. Journal of the Royal Statistical Society: Series B, 39(1), 1–22. DOI ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ |
| 別名≠ | Gaussian Karışım Modeli (GMM Kümeleme), GMM, GMM clustering, mixture of Gaussians | logit model, binomial logistic regression, LR |
| 関連≠ | 4 | 3 |
| 概要≠ | A Gaussian Mixture Model is a probabilistic clustering method that models the data as a weighted mixture of several Gaussian distributions, fitted with the Expectation–Maximization algorithm formalized by Dempster, Laird & Rubin in 1977. It is a generalization of K-means in which each cluster can take its own shape, size, and orientation. | Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science. |
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