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Open AccessJournal ArticleDOI

Semiparametric Regression Analysis via Infer.NET

Jan Luts, +3 more
- 31 Oct 2018 - 
- Vol. 87, Iss: 2, pp 1-37
TLDR
This contribution represents the start of a new era for semiparametric regression, where large and complex analyses are performed via fast Bayesian inference methodology and software, mainly being developed within Machine Learning.
Abstract
We provide several examples of Bayesian semiparametric regression analysis via the Infer.NET package for approximate deterministic inference in Bayesian models. The examples are chosen to encompass a wide range of semiparametric regression situations. Infer.NET is shown to produce accurate inference in comparison with Markov chain Monte Carlo via the BUGS package, but to be considerably faster. Potentially, this contribution represents the start of a new era for semiparametric regression, where large and complex analyses are performed via fast Bayesian inference methodology and software, mainly being developed within Machine Learning.

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Citations
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Journal ArticleDOI

Statistical Analysis with Missing Data

Martin G. Gibson
- 01 Mar 1989 - 
Posted Content

Fast Approximate Inference for Arbitrarily Large Semiparametric Regression Models via Message Passing

TL;DR: In this paper, the notion of message passing is used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models, which is amenable to handling arbitrarily large models of particular types once a set of primitive operations is established.
Journal ArticleDOI

Fast Approximate Inference for Arbitrarily Large Semiparametric Regression Models via Message Passing

TL;DR: The notion of message passing can be used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models and is amenable to handling arbitrarily large models of particular types once a set of primitive operations is established.
Journal ArticleDOI

Variational inference for heteroscedastic semiparametric regression

TL;DR: In this article, a mean field variational methodology for Bayesian heteroscedastic semiparametric regression was developed, in which both the mean and variance are smooth, but otherwise arbitrary, functions of the predictors.
Proceedings ArticleDOI

Scalable transformed additive signal decomposition by non-conjugate Gaussian process inference

TL;DR: This work extends methods on Generalized Additive Models to the additive GP case, thus achieving scalable marginal posterior inference over each latent function in settings such as those above.
References
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Journal Article

R: A language and environment for statistical computing.

R Core Team
- 01 Jan 2014 - 
TL;DR: Copyright (©) 1999–2012 R Foundation for Statistical Computing; permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and permission notice are preserved on all copies.
Journal ArticleDOI

Regression Shrinkage and Selection via the Lasso

TL;DR: A new method for estimation in linear models called the lasso, which minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant, is proposed.
Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book

Statistical Analysis with Missing Data

TL;DR: This work states that maximum Likelihood for General Patterns of Missing Data: Introduction and Theory with Ignorable Nonresponse and large-Sample Inference Based on Maximum Likelihood Estimates is likely to be high.
Book

Finding Groups in Data: An Introduction to Cluster Analysis

TL;DR: An electrical signal transmission system, applicable to the transmission of signals from trackside hot box detector equipment for railroad locomotives and rolling stock, wherein a basic pulse train is transmitted whereof the pulses are of a selected first amplitude and represent a train axle count.