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Expectile regression is a useful tool for exploring the relation between the response and the explanatory variables beyond the conditional mean. This article develops a continuous threshold expectile regression for modeling data in which…

Methodology · Statistics 2016-11-09 Feipeng Zhang , Qunhua Li

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

Methodology · Statistics 2020-06-22 Haiming Zhou , Xianzheng Huang

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

Applications · Statistics 2018-03-14 German A. Schnaidt Grez , Brani Vidakovic

We initiate a novel approach to explain the predictions and out of sample performance of random forest (RF) regression and classification models by exploiting the fact that any RF can be mathematically formulated as an adaptive weighted K…

Raven's Progressive Matrices (RPMs) are frequently used in testing human's visual reasoning ability. Recent advances of RPM-like datasets and solution models partially address the challenges of visually understanding the RPM questions and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 Wentao He , Jianfeng Ren , Ruibin Bai

Nonresponse arises frequently in surveys and follow-ups are routinely made to increase the response rate. In order to monitor the follow-up process, callback data have been used in social sciences and survey studies for decades. In modern…

Methodology · Statistics 2025-06-03 Wang Miao , Xinyu Li , Ping Zhang , Baoluo Sun

How to deal with nonignorable response is often a challenging problem encountered in statistical analysis with missing data. Parametric model assumption for the response mechanism is often made and there is no way to validate the model…

Methodology · Statistics 2018-10-31 Masatoshi Uehara , Jae Kwang Kim

Autoregressive models use chain rule to define a joint probability distribution as a product of conditionals. These conditionals need to be normalized, imposing constraints on the functional families that can be used. To increase…

Machine Learning · Computer Science 2020-10-27 Chenlin Meng , Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

Gradient boosted trees and other regression tree models perform well in a wide range of real-world, industrial applications. These tree models (i) offer insight into important prediction features, (ii) effectively manage sparse data, and…

Machine Learning · Statistics 2021-05-19 Alexander Thebelt , Jan Kronqvist , Miten Mistry , Robert M. Lee , Nathan Sudermann-Merx , Ruth Misener

Decision trees are important both as interpretable models amenable to high-stakes decision-making, and as building blocks of ensemble methods such as random forests and gradient boosting. Their statistical properties, however, are not well…

Machine Learning · Statistics 2021-10-20 Yan Shuo Tan , Abhineet Agarwal , Bin Yu

Auto-regressive moving-average (ARMA) models are ubiquitous forecasting tools. Parsimony in such models is highly valued for their interpretability and computational tractability, and as such the identification of model orders remains a…

Methodology · Statistics 2023-07-27 Yann McLatchie , Asael Alonzo Matamoros , David Kohns , Aki Vehtari

Accurate prediction of evacuation behavior is critical for disaster preparedness, yet models trained in one region often fail elsewhere. Using a multi-state hurricane evacuation survey, we show this failure goes beyond feature distribution…

Machine Learning · Computer Science 2026-04-02 Xiao Qian , Shangjia Dong

Active learning is typically used to label data, when the labeling process is expensive. Several active learning algorithms have been theoretically proved to perform better than their passive counterpart. However, these algorithms rely on…

Machine Learning · Computer Science 2021-02-23 Boris Ndjia Njike , Xavier Siebert

Generalized Additive Models (GAMs) have quickly become the leading choice for inherently-interpretable machine learning. However, unlike uninterpretable methods such as DNNs, they lack expressive power and easy scalability, and are hence…

Machine Learning · Computer Science 2022-10-20 Abhimanyu Dubey , Filip Radenovic , Dhruv Mahajan

Bayesian additive regression trees (BART) are popular Bayesian ensemble models used in regression and classification analysis. Under this modeling framework, the regression function is approximated by an ensemble of decision trees,…

Computation · Statistics 2025-11-26 Marco Battiston , Yu Luo

We study location-scale mixture priors for nonparametric statistical problems, including multivariate regression, density estimation and classification. We show that a rate-adaptive procedure can be obtained if the prior is properly…

Statistics Theory · Mathematics 2012-11-12 R. de Jonge , J. H. van Zanten

The study emphasizes the challenge of finding the optimal trade-off between bias and variance, especially as hyperparameter optimization increases in complexity. Through empirical analysis, three hyperparameter tuning algorithms…

Machine Learning · Computer Science 2024-08-30 Subhasis Dasgupta , Jaydip Sen

The generalized partially linear additive model (GPLAM) is a flexible and interpretable approach to building predictive models. It combines features in an additive manner, allowing each to have either a linear or nonlinear effect on the…

Methodology · Statistics 2018-03-29 Yin Lou , Jacob Bien , Rich Caruana , Johannes Gehrke

Reward models (RMs) are a crucial component in the alignment of large language models' (LLMs) outputs with human values. RMs approximate human preferences over possible LLM responses to the same prompt by predicting and comparing reward…

Machine Learning · Computer Science 2025-02-27 Junqi Jiang , Tom Bewley , Saumitra Mishra , Freddy Lecue , Manuela Veloso
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