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In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

机器学习 · 计算机科学 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

We propose a tree-based semi-varying coefficient model for the Conway-Maxwell- Poisson (CMP or COM-Poisson) distribution which is a two-parameter generalization of the Poisson distribution and is flexible enough to capture both…

统计方法学 · 统计学 2020-04-27 Suneel Babu Chatla , Galit Shmueli

Precision medicine provides customized treatments to patients based on their characteristics and is a promising approach to improving treatment efficiency. Large scale omics data are useful for patient characterization, but often their…

机器学习 · 统计学 2023-01-24 Jianchang Hu , Silke Szymczak

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

统计方法学 · 统计学 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

统计理论 · 数学 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

Efficient planning in high-dimensional spaces, such as those involving deformable objects, requires computationally tractable yet sufficiently expressive dynamics models. This paper introduces a method that automatically generates…

机器人学 · 计算机科学 2025-08-27 Alex LaGrassa , Zixuan Huang , Dmitry Berenson , Oliver Kroemer

In many insurance contexts, dependence between risks of a portfolio may arise from their frequencies. We investigate a dependent risk model in which we assume the vector of count variables to be a tree-structured Markov random field with…

统计方法学 · 统计学 2026-02-03 Hélène Cossette , Benjamin Côté , Alexandre Dubeau , Etienne Marceau

Objective: Social-environmental data obtained from the U.S. Census is an important resource for understanding health disparities, but rarely is the full dataset utilized for analysis. A barrier to incorporating the full data is a lack of…

应用统计 · 统计学 2020-09-02 Elizabeth Handorf , Yinuo Yin , Michael Slifker , Shannon Lynch

Joint distributions over many variables are frequently modeled by decomposing them into products of simpler, lower-dimensional conditional distributions, such as in sparsely connected Bayesian networks. However, automatically learning such…

机器学习 · 计算机科学 2013-01-07 Scott Davies , Andrew Moore

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

统计方法学 · 统计学 2015-04-21 Gerhard Tutz , Moritz Berger

The paper deals with disorders detection in the multivariate stochastic process. We consider the multidimensional Poisson process or the multivariate renewal process. This class of processes can be used as a description of the distributed…

最优化与控制 · 数学 2021-01-12 Krzysztof J. Szajowski

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

机器学习 · 计算机科学 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

Technology and collaboration enable dramatic increases in the size of psychological and psychiatric data collections, but finding structure in these large data sets with many collected variables is challenging. Decision tree ensembles like…

机器学习 · 统计学 2017-02-15 Patrick J. Miller , Gitta H. Lubke , Daniel B. McArtor , C. S. Bergeman

Advances in field techniques have lead to an increase in spatially-referenced capture-recapture data to estimate a species' population size as well as other demographic parameters and patterns of space usage. Statistical models for these…

应用统计 · 统计学 2014-05-09 Brian J. Reich , Beth Gardner

Random forests are one of the most popular machine learning methods due to their accuracy and variable importance assessment. However, random forests only provide variable importance in a global sense. There is an increasing need for such…

统计方法学 · 统计学 2021-03-25 Joshua Daniel Loyal , Ruoqing Zhu , Yifan Cui , Xin Zhang

This paper studies the case of possibly high-dimensional covariates in the regression discontinuity design (RDD) analysis. In particular, we propose estimation and inference methods for the RDD models with covariate selection which perform…

计量经济学 · 经济学 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

Mapping standing dead trees is critical for assessing forest health, monitoring biodiversity, and mitigating wildfire risks, for which aerial imagery has proven useful. However, dense canopy structures, spectral overlaps between living and…

计算机视觉与模式识别 · 计算机科学 2026-05-06 Anis Ur Rahman , Einari Heinaro , Mete Ahishali , Samuli Junttila

This paper is concerned with the approximation of high-dimensional functions in a statistical learning setting, by empirical risk minimization over model classes of functions in tree-based tensor format. These are particular classes of…

机器学习 · 统计学 2019-01-15 Erwan Grelier , Anthony Nouy , Mathilde Chevreuil

Eliciting preferences from human judgements is inherently imprecise, yet most decision analysis methods force a single priority vector from pairwise comparisons, discarding the information embedded in inconsistencies. We instead leverage…

综合经济学 · 经济学 2026-02-27 Salvatore Greco , Sajid Siraj , Michele Lundy

The adoption of the distributed paradigm has allowed applications to increase their scalability, robustness and fault tolerance, but it has also complicated their structure, leading to an exponential growth of the applications'…

分布式、并行与集群计算 · 计算机科学 2017-05-23 Ioannis Giannakopoulos , Dimitrios Tsoumakos , Nectarios Koziris