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A Bayesian Nonparametric Learning Approach to Ensemble Models Using the Proper Bayesian Bootstrap
Bootstrap resampling techniques, introduced by Efron and Rubin, can be presented in a general Bayesian framework, approximating the statistical distribution of a statistical functional ϕ(F), where F is a random distribution function.
Marta Galvani +3 more
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A Survey on Bayesian Nonparametric Learning [PDF]
Bayesian (machine) learning has been playing a significant role in machine learning for a long time due to its particular ability to embrace uncertainty, encode prior knowledge, and endow interpretability. On the back of Bayesian learning’s great success, Bayesian nonparametric learning (BNL) has emerged as a force for further advances in this field ...
Junyu Xuan +2 more
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Sparse Bayesian nonparametric regression [PDF]
One of the most common problems in machine learning and statistics consists of estimating the mean response Xβ from a vector of observations y assuming y = Xβ + e where X is known, β is a vector of parameters of interest and e a vector of stochastic errors.
Caron, F, Doucet, A
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Nonparametric Bayesian Data Analysis
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Müller, Peter, 1963- +1 more
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A tutorial on Bayesian nonparametric models [PDF]
A key problem in statistical modeling is model selection, how to choose a model at an appropriate level of complexity. This problem appears in many settings, most prominently in choosing the number ofclusters in mixture models or the number of factors in factor analysis.
Gershman, Samuel J., Blei, David M.
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Nonparametric Full Bayesian Significance Testing for Bayesian Histograms
In this article, we present an extension of the Full Bayesian Significance Test (FBST) for nonparametric settings, termed NP-FBST, which is constructed using the limit of finite dimension histograms. The test statistics for NP-FBST are based on a plug-in
Fernando Corrêa +2 more
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Robustness in Bayesian nonparametrics
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Bayesian Nonparametric Weighted Sampling Inference
It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights.
Gelman, Andrew +2 more
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This paper addresses the problem of data vectors modeling, classification and recognition using infinite mixture models, which have been shown to be an effective alternative to finite mixtures in terms of selecting the optimal number of clusters. In this
Sami Bourouis +4 more
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Nonparametric Bayesian Regression
The paper addresses itself to Bayesian estimation of the function \[ F(x_ 1,x_ 2)=m+a(x_ 1)+b(x_ 2)+c(x_ 1,x_ 2) \] in the model \(y_ i=F(x_{1i},x_{2i})+e_ i\). A prior for F is constructed by putting independent priors on m,a,b, and c. They are normal distribution and Brownian motion.
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