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| 平均二乗誤差(MSE)× | 赤池情報量基準 (AIC)× | |
|---|---|---|
| 分野 | モデル評価 | モデル評価 |
| 系統 | MCDM | MCDM |
| 提唱年≠ | 1809 | 1974 |
| 提唱者≠ | Carl Friedrich Gauss | Hirotugu Akaike |
| 種類≠ | Squared-error loss function | Model selection metric |
| 原典≠ | Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser. link ↗ | Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19(6), 716-723. DOI ↗ |
| 別名≠ | MSE, L2 error, quadratic error | AIC |
| 関連 | 4 | 4 |
| 概要≠ | Mean Squared Error is the foundational loss function for regression models, measuring the average squared deviation between predictions and observations. Originating from Gauss and Legendre's method of least squares (1805-1809), MSE is the basis for ordinary least squares regression and remains central to modern machine learning optimization. | The Akaike Information Criterion is an information-theoretic measure for model selection that balances goodness of fit against model complexity. Introduced by Hirotugu Akaike in 1974, AIC estimates the relative quality of models for a given dataset, penalizing additional parameters to prevent overfitting. |
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