পদ্ধতির তুলনা করুন

	বেয়েশীয় ননপ্যারামেট্রিক পদ্ধতিসমূহ	বেয়েশীয় রিগ্রেশন	গাউসিয়ান প্রসেস	মার্কভ চেইন মন্টি কার্লো (MCMC)
ক্ষেত্র	বেইসীয়	বেইসীয়	যন্ত্র শিখন	বেইসীয়
পরিবার	Bayesian methods	Bayesian methods	Machine learning	Bayesian methods
উদ্ভবের বছর	1973 (DP); 2006 (GP canonical text)	—	2006 (book); roots in Kriging, 1951)	—
প্রবর্তক	Ferguson (Dirichlet Process, 1973); Rasmussen & Williams (GP, 2006)	—	Rasmussen, C. E. & Williams, C. K. I.	—
ধরন	Bayesian nonparametric model	Bayesian linear model	Probabilistic non-parametric model	Posterior sampling algorithm
মৌলিক উৎস	Rasmussen, C.E. & Williams, C.K.I. (2006). Gaussian Processes for Machine Learning. MIT Press. ISBN: 978-0262182539	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	Rasmussen, C. E., & Williams, C. K. I. (2006). Gaussian Processes for Machine Learning. MIT Press. ISBN: 978-0-262-18253-9	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
অপর নাম	BNP, Dirichlet process mixture, DPM, Gaussian process regression	bayesian linear regression, probabilistic regression, bayesian regresyon	GP, Gaussian Process Regression, GPR, Kriging	markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
সম্পর্কিত	3	2	3	3
সারসংক্ষেপ	Bayesian nonparametric methods are a family of flexible Bayesian models in which model complexity is not fixed in advance but grows automatically with the data. The two most widely used members are the Dirichlet Process Mixture (DPM), which clusters observations without pre-specifying the number of clusters, and Gaussian Process (GP) regression, which places a prior directly over functions and performs regression or classification without committing to a parametric form. Both frameworks were formalised in the Bayesian nonparametric literature, with the canonical GP treatment given by Rasmussen and Williams (2006).	Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.	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.	Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.