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| 確率的勾配降下法 (SGD)× | ロジスティック回帰× | XGBoost× | |
|---|---|---|---|
| 分野≠ | 機械学習 | 研究統計 | 機械学習 |
| 系統≠ | Machine learning | Process / pipeline | Machine learning |
| 提唱年≠ | 1951 | 1958 | 2016 |
| 提唱者≠ | Robbins, H. & Monro, S. | David Roxbee Cox | Chen, T. & Guestrin, C. |
| 種類≠ | First-order iterative optimization algorithm | Method | Ensemble (gradient-boosted decision trees) |
| 原典≠ | Robbins, H. & Monro, S. (1951). A Stochastic Approximation Method. The Annals of Mathematical Statistics, 22(3), 400–407. DOI ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ | Chen, T. & Guestrin, C. (2016). XGBoost: A Scalable Tree Boosting System. Proceedings of the 22nd ACM SIGKDD, 785–794. DOI ↗ |
| 別名≠ | SGD, online gradient descent, incremental gradient descent, mini-batch gradient descent | logit model, binomial logistic regression, LR | XGBoost, extreme gradient boosting, scalable tree boosting |
| 関連≠ | 3 | 3 | 5 |
| 概要≠ | Stochastic Gradient Descent (SGD) is a first-order iterative optimization algorithm, rooted in the stochastic approximation framework introduced by Robbins and Monro in 1951, that minimizes an objective function by updating model parameters using the gradient computed on a single randomly selected training example (or a small mini-batch) at each step. It is the core optimization engine behind modern machine learning and deep learning, enabling the training of models on datasets too large to fit in memory. | 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. | XGBoost (Extreme Gradient Boosting) is a scalable tree-boosting algorithm introduced by Tianqi Chen and Carlos Guestrin in 2016. It builds a strong predictor by adding decision trees one at a time, each correcting the errors left by the trees before it, and is a powerful prediction method widely used in competitions. |
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