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This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

天体物理仪器与方法 · 物理学 2015-06-04 Martin D. Weinberg

Ensemble of regression trees have become popular statistical tools for the estimation of conditional mean given a set of predictors. However, quantile regression trees and their ensembles have not yet garnered much attention despite the…

机器学习 · 统计学 2016-07-12 Bereket P. Kindo , Hao Wang , Timothy Hanson , Edsel A. Peña

Early, reliable detection of disease outbreaks is a critical problem today. This paper reports an investigation of the use of causal Bayesian networks to model spatio-temporal patterns of a non-contagious disease (respiratory anthrax…

Conventional Bayesian Neural Networks (BNNs) are unable to leverage unlabelled data to improve their predictions. To overcome this limitation, we introduce Self-Supervised Bayesian Neural Networks, which use unlabelled data to learn models…

机器学习 · 计算机科学 2024-09-02 Mrinank Sharma , Tom Rainforth , Yee Whye Teh , Vincent Fortuin

In this vignette, we introduce the UPG package for efficient Bayesian inference in probit, logit, multinomial logit and binomial logit models. UPG offers a convenient estimation framework for balanced and imbalanced data settings where…

统计计算 · 统计学 2023-07-03 Gregor Zens , Sylvia Frühwirth-Schnatter , Helga Wagner

Approximate Bayesian computation (ABC) is an approach for sampling from an approximate posterior distribution in the presence of a computationally intractable likelihood function. A common implementation is based on simulating model,…

统计方法学 · 统计学 2013-01-16 D. Prangle , M. G. B. Blum , G. Popovic , S. A. Sisson

We explain how effective automatic probability density function estimates can be constructed using contemporary Bayesian inference engines such as those based on no-U-turn sampling and expectation propagation. Extensive simulation studies…

机器学习 · 统计学 2021-09-28 M. P. Wand , J. C. F. Yu

Bayesian networks (BN) are directed acyclic graphical (DAG) models that have been adopted into many fields for their strengths in transparency, interpretability, probabilistic reasoning, and causal modeling. Given a set of data, one hurdle…

人工智能 · 计算机科学 2023-05-19 Christian D. Blakely

Bayesian networks (BNs) are graphical \emph{first-order} probabilistic models that allow for a compact representation of large probability distributions, and for efficient inference, both exact and approximate. We introduce a…

计算机科学中的逻辑 · 计算机科学 2023-12-12 Claudia Faggian , Daniele Pautasso , Gabriele Vanoni

Bayesian additive regression trees (BART) is a flexible prediction model/machine learning approach that has gained widespread popularity in recent years. As BART becomes more mainstream, there is an increased need for a paper that walks…

应用统计 · 统计学 2025-09-18 Yaoyuan Vincent Tan , Jason Roy

Neural additive models (NAMs) enhance the transparency of deep neural networks by handling input features in separate additive sub-networks. However, they lack inherent mechanisms that provide calibrated uncertainties and enable selection…

机器学习 · 统计学 2024-10-29 Kouroche Bouchiat , Alexander Immer , Hugo Yèche , Gunnar Rätsch , Vincent Fortuin

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

统计方法学 · 统计学 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola

Neural networks have achieved remarkable performance across various problem domains, but their widespread applicability is hindered by inherent limitations such as overconfidence in predictions, lack of interpretability, and vulnerability…

机器学习 · 统计学 2023-09-29 Julyan Arbel , Konstantinos Pitas , Mariia Vladimirova , Vincent Fortuin

We introduce a new library named abess that implements a unified framework of best-subset selection for solving diverse machine learning problems, e.g., linear regression, classification, and principal component analysis. Particularly, the…

机器学习 · 统计学 2024-04-02 Jin Zhu , Xueqin Wang , Liyuan Hu , Junhao Huang , Kangkang Jiang , Yanhang Zhang , Shiyun Lin , Junxian Zhu

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

人工智能 · 计算机科学 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

机器学习 · 计算机科学 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

Artificial hydrocarbon networks (AHN) is a novel supervised learning method inspired on the structure and the inner chemical mechanisms of organic compounds. As any other cutting-edge algorithm, there are two challenges to be faced:…

机器学习 · 计算机科学 2020-05-22 Jose Roberto Ayala-Solares , Hiram Ponce

In recent times, neural networks have become a powerful tool for the analysis of complex and abstract data models. However, their introduction intrinsically increases our uncertainty about which features of the analysis are model-related…

机器学习 · 统计学 2020-11-09 Tom Charnock , Laurence Perreault-Levasseur , François Lanusse

This research introduces a novel methodology for optimizing Bayesian Neural Networks (BNNs) by synergistically integrating them with traditional machine learning algorithms such as Random Forests (RF), Gradient Boosting (GB), and Support…

机器学习 · 计算机科学 2023-10-10 Peiwen Tan

We introduce varbvs, a suite of functions written in R and MATLAB for regression analysis of large-scale data sets using Bayesian variable selection methods. We have developed numerical optimization algorithms based on variational…

统计计算 · 统计学 2017-09-21 Peter Carbonetto , Xiang Zhou , Matthew Stephens