手法を比較

	正則化ガウス過程	正則化線形回帰
分野	機械学習	機械学習
系統	Machine learning	Machine learning
提唱年	2006 (canonical formulation); kernel regularization roots 1990s	1970–2005
提唱者	Rasmussen, C. E. & Williams, C. K. I.	Hoerl & Kennard (Ridge, 1970); Tibshirani (Lasso, 1996); Zou & Hastie (Elastic Net, 2005)
種類	Probabilistic kernel model with regularization	Penalized linear model
原典	Rasmussen, C. E., & Williams, C. K. I. (2006). Gaussian Processes for Machine Learning. MIT Press. ISBN: 978-0-262-18253-9	Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288.
別名	Regularized GP, GP with noise regularization, sparse regularized Gaussian process, regularized Gaussian process regression	Ridge regression, Lasso regression, Elastic Net regression, penalized regression
関連	4	4
概要	A Regularized Gaussian Process (GP) is a probabilistic kernel-based model that places a prior over functions and explicitly controls overfitting through a noise regularization parameter — the observation noise variance — that prevents the model from memorizing training labels. It produces calibrated uncertainty estimates alongside predictions, making it uniquely suited to small or expensive datasets where knowing how confident the model is matters as much as the prediction itself.	Regularized linear regression adds a penalty term to the ordinary least-squares objective, shrinking or zeroing out coefficients to reduce overfitting and handle multicollinearity. The three main variants — Ridge (L2 penalty), Lasso (L1 penalty), and Elastic Net (combined L1+L2) — make linear regression usable even when features outnumber observations or predictors are highly correlated.