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This paper proposes three types of Bayesian CART (or BCART) models for aggregate claim amount, namely, frequency-severity models, sequential models and joint models. We propose a general framework for the BCART models applicable to data…

统计方法学 · 统计学 2025-08-04 Yaojun Zhang , Lanpeng Ji , Georgios Aivaliotis , Charles C. Taylor

Gradient boosting machines (GBMs) based on decision trees consistently demonstrate state-of-the-art results on regression and classification tasks with tabular data, often outperforming deep neural networks. However, these models do not…

机器学习 · 计算机科学 2023-02-23 Tristan Cinquin , Tammo Rukat , Philipp Schmidt , Martin Wistuba , Artur Bekasov

Regression methods for interval-valued data have been increasingly studied in recent years. As most of the existing works focus on linear models, it is important to note that many problems in practice are nonlinear in nature and therefore…

统计方法学 · 统计学 2022-01-11 Chih-Ching Yeh , Yan Sun , Adele Cutler

The use of cumulative incidence functions for characterizing the risk of one type of event in the presence of others has become increasingly popular over the past decade. The problems of modeling, estimation and inference have been treated…

统计方法学 · 统计学 2020-11-16 Youngjoo Cho , Annette M. Molinaro , Chen Hu , Robert L. Strawderman

Path planning through complex obstacle spaces is a fundamental requirement of many mobile robot applications. Recently a rapid convergence path planning algorithm, Batch Informed Trees (BIT*), was introduced. This work serves as a concise…

机器人学 · 计算机科学 2023-03-14 James Swedeen , Greg Droge

Big Data often presents as massive non-probability samples. Not only is the selection mechanism often unknown, but larger data volume amplifies the relative contribution of selection bias to total error. Existing bias adjustment approaches…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Carol A. C. Flannagan , Brady T. West , Michael R. Elliott

In this paper, we introduce a new machine learning (ML) model for nonlinear regression called the Boosted Smooth Transition Regression Trees (BooST), which is a combination of boosting algorithms with smooth transition regression trees. The…

机器学习 · 统计学 2021-04-08 Yuri Fonseca , Marcelo Medeiros , Gabriel Vasconcelos , Alvaro Veiga

We describe the development of a new toolkit for data analysis. The analysis package is based on Bayes' Theorem, and is realized with the use of Markov Chain Monte Carlo. This gives access to the full posterior probability distribution.…

数据分析、统计与概率 · 物理学 2015-05-13 Allen Caldwell , Daniel Kollar , Kevin Kroeninger

Regression trees have emerged as a preeminent tool for solving real-world regression problems due to their ability to deal with nonlinearities, interaction effects and sharp discontinuities. In this article, we rather study regression trees…

机器学习 · 统计学 2025-11-14 Nathan Wycoff

Many network applications are based on binary-state networks, where each component has one of two states: success or failure. Efficient algorithms to evaluate binary-state network reliability are continually being developed. Reliability…

网络与互联网体系结构 · 计算机科学 2020-12-01 Wei-Chang Yeh

In the fight against hard-to-treat diseases such as cancer, it is often difficult to discover new treatments that benefit all subjects. For regulatory agency approval, it is more practical to identify subgroups of subjects for whom the…

统计方法学 · 统计学 2014-10-09 Wei-Yin Loh , Xu He , Michael Man

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

统计方法学 · 统计学 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

Recognizing the successes of treed Gaussian process (TGP) models as an interpretable and thrifty model for nonparametric regression, we seek to extend the model to classification. Both treed models and Gaussian processes (GPs) have,…

统计方法学 · 统计学 2010-09-28 Tamara Broderick , Robert B. Gramacy

A framework for online robust adaptive radiation therapy (ART) is presented. This framework is designed to (i) handle interfractional geometric variations following a probability distribution different from the a priori hypothesis, (ii)…

医学物理 · 物理学 2020-09-09 Michelle Böck

Two algorithms proposed by Leo Breiman : CART trees (Classification And Regression Trees for) introduced in the first half of the 80s and random forests emerged, meanwhile, in the early 2000s, are the subject of this article. The goal is to…

统计方法学 · 统计学 2017-01-23 Robin Genuer , Jean-Michel Poggi

Item Response Theory (IRT) is a ubiquitous model for understanding humans based on their responses to questions, used in fields as diverse as education, medicine and psychology. Large modern datasets offer opportunities to capture more…

机器学习 · 计算机科学 2020-03-17 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

The varying-coefficient model is a strong tool for the modelling of interactions in generalized regression. It is easy to apply if both the variables that are modified as well as the effect modifiers are known. However, in general one has a…

统计方法学 · 统计学 2017-05-25 Moritz Berger , Gerhard Tutz , Matthias Schmid

The problem of modeling forest tree growth curves with an artificial neural network (NN) is examined. The NN parametric form is shown to be a suitable model if each forest tree plot is assumed to consist of several differently growing…

数据分析、统计与概率 · 物理学 2007-05-23 Christopher Gordon

We propose a variable splitting binary tree (VSBT) model based on Bayesian context tree (BCT) models for time series segmentation. Unlike previous applications of BCT models, the tree structure in our model represents interval partitioning…

Decision trees are powerful machine learning algorithms, widely used in fields such as economics and medicine for their simplicity and interpretability. However, decision trees such as CART are prone to overfitting, especially when grown…

机器学习 · 统计学 2026-01-13 Likun Zhang , Wei Ma
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