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Unlike [[Bayesian network]]s, DNs may contain cycles. ...nference, Collaborative Filtering, and Data Visualization |journal=Journal of Machine Learning Research |date=October 2000 |url=http://www.jmlr.org/paper ...

{{Short description|Type of probability distribution used in statistics}} ...ditor-last=Goel |editor2-first=A. |editor2-last=Zellner |series=Studies in Bayesian Econometrics and Statistics |volume=6 |location=New York |publisher=Elsevie ...

{{Short description|Bayesian inference method}} {{Bayesian statistics}} ...

...nois Institute of Technology]] {{small|([[Master of Science|MS]], [[Doctor of Philosophy|PhD]])}} ...ory]] in [[artificial intelligence]] and in the development of the field [[Bayesian network]]s.<ref name="dawn3">{{cite journal|last1=Holmes|first1=Dawn|title= ...

{{Short description|Set of probability measures}} ...abio.cozman/Research/CredalSetsTutorial/Nutshell/index.html Theory of Sets of Probabilities (and related models) in a Nutshell] {{webarchive|url=https:// ...

...Social Networks |doi=10.1007/s13235-010-0004-1 |journal=Dynamic Games and Applications |volume=1 |issue=1 |pages=3–49 |citeseerx=10.1.1.471.6097 }}</ref> ...n, or put differently, whether the consensus belief matches the true state of the world or not; ...

...a set of (undirected) [[edge (graph theory)|edges]] {{mvar|E}}, and a set of [[Directed graph|directed]] edges (or arcs) {{mvar|A}}.<ref name="BeckBlado [[File:Mixed Graph Example.jpg|thumbnail|Example of a mixed graph]] ...

'''Bayesian quadrature'''<ref name="Diaconis1988">{{cite journal | title = Bayesian Numerical Analysis ...

...ute [[methylation]] state in a region of interest.<ref>Down, T.A. et al. A Bayesian deconvolution strategy for immunoprecipitation-based DNA methylome analysis .... Analysing the MeDIP signal of the above example would give Batman scores of 0.5 for region ''A'' (i.e. the region is 50% methylated) and 1 for region ' ...

{{short description|Reciprocal of the statistical variance}} ...>{{cite book |last=Dodge |first=Y. |year=2003 |title=The Oxford Dictionary of Statistical Terms |publisher=Oxford University Press |isbn=0-19-920613-9 |u ...

{{Short description|Mathematical method for quicker estimation of probable outcomes}} ...e for large numbers of models very quickly and facilitating the estimation of hierarchical models ([[Empirical Bayes method|Parametric Empirical Bayes]]) ...

{{Short description|Methods for comparing models in a Bayesian framework}} | title = Bayesian Model Comparison ...

...tle=The inverted Dirichlet distribution with applications| journal=Journal of the American Statistical Association| year=1965| volume=60| number=311| pag The distribution has applications in [[statistical regression]] and arises naturally when considering the [[m ...

...the optimization of non-convex objective functions, shown here to be a sum of Gaussians.]] ...available data. First described by Welling and Teh in 2011, the method has applications in many contexts which require optimization, and is most notably applied in ...

...pecially when the [[likelihood]] is not from the [[location-scale family]] of distributions such as [[normal distribution]]. ...\boldsymbol{\mu})</math>, the joint [[probability density function]] (pdf) of <math>\boldsymbol{Y}=(Y_{1},\dots,Y_{k})</math> is given as the following: ...

...ining and inference are often computationally infeasible, so [[approximate inference]] and learning methods are used. ==Applications== ...

{{Short description|Type of heuristic technique}} [[File:Visualization of Thompson sampling.gif|thumb|350px|Concrete example of Thompson sampling applied to simulate treatment efficacy evaluation]] ...

{{Short description|Process of choosing the actual true value for a data item}} '''Truth discovery''' (also known as '''truth finding''') is the process of choosing the actual ''true value'' for a [[data item]] when different [[Dat ...

{{Bayesian statistics}} ...of this integration is it allows calculation of the posterior distribution of the [[prior distribution|prior]], providing an updated probability estimate ...

...Mathematics and philosophy | year=2008 | publisher=Mathematics Association of America Inc. | isbn=978-0-88385-567-6 | url=https://books.google.com/books? ...books?id=HDOuKjMc0AEC&q=Thomas+Kuhn's+%22linguistic+turn%22+and+the+legacy+of+logical+empiricism}}</ref> ...