方法对比

	正则化半监督学习	正则化逻辑回归
领域	机器学习	机器学习
方法族	Machine learning	Machine learning
起源年份	2006	1996–2005
提出者	Belkin, M.; Niyogi, P.; Sindhwani, V.	Tibshirani, R. (lasso); Hoerl & Kennard (ridge); Zou & Hastie (elastic net)
类型	Regularized learning paradigm	Penalized classification model
开创性文献	Belkin, M., Niyogi, P., & Sindhwani, V. (2006). Manifold regularization: A geometric framework for learning from labeled and unlabeled examples. Journal of Machine Learning Research, 7, 2399–2434.	Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288.
别名	manifold regularization, graph-regularized SSL, semi-supervised regularization, Laplacian regularization	penalized logistic regression, L1 logistic regression, L2 logistic regression, elastic net logistic regression
相关	6	5
摘要	Regularized semi-supervised learning adds explicit geometric or graph-based penalty terms to a semi-supervised objective so that the decision function varies smoothly over the data manifold. Pioneered through manifold regularization (Belkin, Niyogi & Sindhwani, 2006), it exploits the structure of both labeled and unlabeled examples to learn more accurate models than supervised regularization alone when labeled data are scarce.	Regularized logistic regression extends standard logistic regression by adding an L1 (lasso), L2 (ridge), or elastic net penalty to the log-likelihood, shrinking coefficients toward zero and preventing overfitting. It is the default choice for binary or multinomial classification when you want interpretable, sparse, or stable coefficient estimates in high-dimensional or collinear feature spaces.