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Most implementations of Bayesian additive regression trees (BART) one-hot encode categorical predictors, replacing each one with several binary indicators, one for every level or category. Regression trees built with these indicators…

统计方法学 · 统计学 2024-08-14 Sameer K. Deshpande

Despite the dominant role of deep models in machine learning, limitations persist, including overconfident predictions, susceptibility to adversarial attacks, and underestimation of variability in predictions. The Bayesian paradigm provides…

机器学习 · 统计学 2025-06-18 Alisa Sheinkman , Sara Wade

Traffic volume information is critical for intelligent transportation systems. It serves as a key input to transportation planning, roadway design, and traffic signal control. However, the traffic volume data collected by fixed-location…

物理与社会 · 物理学 2021-05-07 Xintao Yan , Yan Zhao , Henry X. Liu

Weak lensing convergence maps - upon which higher order statistics can be calculated - can be recovered from observations of the shear field by solving the lensing inverse problem. For typical surveys this inverse problem is ill-posed…

宇宙学与河外天体物理 · 物理学 2021-02-08 Matthew A. Price , Xiaohao Cai , Jason D. McEwen , Thomas D. Kitching

This paper presents a novel method for structural data recognition using a large number of graph models. In general, prevalent methods for structural data recognition have two shortcomings: 1) Only a single model is used to capture…

机器学习 · 计算机科学 2020-04-15 Tomo Miyazaki , Shinichiro Omachi

Models with intractable likelihood functions arise in areas including network analysis and spatial statistics, especially those involving Gibbs random fields. Posterior parameter es timation in these settings is termed a doubly-intractable…

统计计算 · 统计学 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

Bayesian Additive Regression Trees (BART) is a powerful statistical model that leverages the strengths of Bayesian inference and regression trees. It has received significant attention for capturing complex non-linear relationships and…

机器学习 · 统计学 2026-04-01 Seokhun Park , Insung Kong , Yongdai Kim

Staged trees are a relatively recent class of probabilistic graphical models that extend Bayesian networks to formally and graphically account for non-symmetric patterns of dependence. Machine learning algorithms to learn them from data…

应用统计 · 统计学 2024-01-04 Manuele Leonelli , Gherardo Varando

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

统计方法学 · 统计学 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

Classically, statistical datasets have a larger number of data points than features ($n > p$). The standard model of classical statistics caters for the case where data points are considered conditionally independent given the parameters.…

机器学习 · 统计学 2022-03-16 Sijia Li , Martín López-García , Neil D. Lawrence , Luisa Cutillo

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

统计方法学 · 统计学 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

This work proposes a two-step method to enhance disease risk estimation in small areas by integrating spatiotemporal cluster detection within a Bayesian hierarchical spatiotemporal model. First, we introduce an efficient…

统计方法学 · 统计学 2026-04-14 G. Santafé , A. Adin , M. D. Ugarte

Bayesian quadrature (BQ) is a method for solving numerical integration problems in a Bayesian manner, which allows users to quantify their uncertainty about the solution. The standard approach to BQ is based on a Gaussian process (GP)…

统计方法学 · 统计学 2021-12-03 Harrison Zhu , Xing Liu , Ruya Kang , Zhichao Shen , Seth Flaxman , François-Xavier Briol

We tackle modelling and inference for variable selection in regression problems with many predictors and many responses. We focus on detecting hotspots, i.e., predictors associated with several responses. Such a task is critical in…

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

The logistic specification has been used extensively in non-Bayesian statistics to model the dependence of discrete outcomes on the values of specified covariates. Because the likelihood function is globally weakly concave estimation by…

统计计算 · 统计学 2013-04-17 John Geweke , Garland Durham , Huaxin Xu

In many longitudinal studies, the covariate and response are often intermittently observed at irregular, mismatched and subject-specific times. How to deal with such data when covariate and response are observed asynchronously is an often…

统计方法学 · 统计学 2021-08-27 Hao Ran , Yang Bai

We consider the spatial classification problem for monitoring using data collected by a coordinated team of mobile robots. Such classification problems arise in several applications including search-and-rescue and precision agriculture.…

机器人学 · 计算机科学 2026-05-25 Xiaoshan Lin , Siddharth Nayak , Stefano Di Cairano , Abraham P. Vinod

Traffic prediction is a crucial topic because of its broad scope of applications in the transportation domain. Recently, various studies have achieved promising results. However, most studies assume the prediction locations have complete or…

机器学习 · 计算机科学 2024-02-07 Hao Mei , Junxian Li , Zhiming Liang , Guanjie Zheng , Bin Shi , Hua Wei

Existing traffic volume estimation methods typically address either forecasting traffic on sensor-equipped roads or spatially imputing missing volumes using nearby sensors. While forecasting models generally disregard unmonitored roads by…

机器学习 · 计算机科学 2025-12-17 Léo Hein , Giovanni de Nunzio , Giovanni Chierchia , Aurélie Pirayre , Laurent Najman
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