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Bayesovský Gaussovský proces×Bayesovská lineární regrese×Bayesovská optimalizace×Gaussovský proces×
OborStrojové učeníBayesovská statistikaOptimalizaceStrojové učení
RodinaMachine learningBayesian methodsProcess / pipelineMachine learning
Rok vzniku1978–20062013 (modern reference); foundations 18th–19th century1975 (foundational); 2012 (ML standard)2006 (book); roots in Kriging, 1951)
TvůrceO'Hagan, A.; Neal, R. M.; Rasmussen, C. E. & Williams, C. K. I.Thomas Bayes / Pierre-Simon Laplace (foundations); modern workflow codified by Gelman et al.Mockus (1975); popularised for ML by Snoek, Larochelle & Adams (2012)Rasmussen, C. E. & Williams, C. K. I.
TypProbabilistic kernel modelBayesian linear modelSequential model-based black-box optimizationProbabilistic non-parametric model
Původní zdrojRasmussen, C. E., & Williams, C. K. I. (2006). Gaussian Processes for Machine Learning. MIT Press. ISBN: 978-0-262-18253-9Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Snoek, J., Larochelle, H., & Adams, R.P. (2012). Practical Bayesian Optimization of Machine Learning Algorithms. Advances in Neural Information Processing Systems (NeurIPS), 25. link ↗Rasmussen, C. E., & Williams, C. K. I. (2006). Gaussian Processes for Machine Learning. MIT Press. ISBN: 978-0-262-18253-9
Další názvyGP regression, GPR, Gaussian process model, GP classifierbayesian linear model, probabilistic linear regression, Bayesçi Doğrusal RegresyonBayesçi Optimizasyon (Hyperparameter Tuning), surrogate-based optimization, sequential model-based optimization, SMBOGP, Gaussian Process Regression, GPR, Kriging
Příbuzné3423
ShrnutíA Bayesian Gaussian Process (GP) places a probability distribution directly over functions, using a kernel to encode similarity between inputs. After observing data, Bayes' rule converts this prior into a posterior that yields not just point predictions but calibrated uncertainty estimates at every new input — making it one of the most principled probabilistic models in machine learning.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.Bayesian Optimization is a sequential, model-based strategy for finding the optimum of expensive black-box functions with as few evaluations as possible. Rooted in the work of Mockus (1975) and brought to mainstream machine-learning practice by Snoek, Larochelle, and Adams (2012), it fits a probabilistic surrogate model — typically a Gaussian Process — to past observations and uses an acquisition function to decide where to probe next, balancing exploration of unknown regions with exploitation of promising ones.A Gaussian Process (GP) is a non-parametric, fully probabilistic machine learning model that places a prior distribution directly over functions. Rather than predicting a single value, it returns a predictive mean and a calibrated uncertainty estimate at every test point, making it especially valuable for regression on small to medium datasets and for Bayesian optimization tasks.
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ScholarGatePorovnat metody: Bayesian Gaussian Process · Bayesian Linear Regression · Bayesian Optimization · Gaussian Process. Získáno 2026-06-15 z https://scholargate.app/cs/compare