手法を比較

	オンラインガウス過程	ベイズ線形回帰
分野	機械学習	ベイズ
系統	Machine learning	Bayesian methods
提唱年	2002	2013 (modern reference); foundations 18th–19th century
提唱者	Csató, L. & Opper, M.	Thomas Bayes / Pierre-Simon Laplace (foundations); modern workflow codified by Gelman et al.
種類	Bayesian nonparametric model (sequential/online)	Bayesian linear model
原典	Csató, L. & Opper, M. (2002). Sparse on-line Gaussian processes. Neural Computation, 14(3), 641–668.	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
別名	OGP, sparse online GP, sequential Gaussian process, incremental Gaussian process	bayesian linear model, probabilistic linear regression, Bayesçi Doğrusal Regresyon
関連	3	4
概要	Online Gaussian Process (OGP) extends the Bayesian nonparametric GP framework to streaming or sequentially arriving data. Instead of recomputing the full GP posterior from scratch as each observation arrives, OGP maintains a compact summary — a sparse set of inducing points — and updates it incrementally, making probabilistic regression and classification feasible in real-time and large-scale settings.	Bayesian linear regression is a probabilistic extension of the ordinary linear model, introduced through Bayes' rule and formalised in its modern computational workflow by Gelman et al. (2013). Rather than returning a single point estimate for each coefficient, it combines a user-specified prior distribution with the likelihood of the observed data to produce a full posterior distribution over all parameters, from which credible intervals and posterior predictive distributions are derived.