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Given the high computational complexity of decision tree estimation, classical methods construct a tree by adding one node at a time in a recursive way. To facilitate promoting fairness, we propose a fairness criterion local to the tree…

Machine Learning · Computer Science 2025-04-28 Andrea Quintanilla , Johan Van Horebeek

We develop a general statistical framework for the analysis and inference of large tree-structured data, with a focus on developing asymptotic goodness-of-fit tests. We first propose a consistent statistical model for binary trees, from…

The standard procedure to decide on the complexity of a CART regression tree is to use cross-validation with the aim of obtaining a predictor that generalises well to unseen data. The randomness in the selection of folds implies that the…

Methodology · Statistics 2025-10-29 Nils Engler , Mathias Lindholm , Filip Lindskog , Taariq Nazar

In recent years, there has been growing interest in causal machine learning estimators for quantifying subject-specific effects of a binary treatment on time-to-event outcomes. Estimation approaches have been proposed which attenuate the…

Methodology · Statistics 2026-03-30 Matthew Pryce , Karla Diaz-Ordaz , Ruth H. Keogh , Stijn Vansteelandt

Random survival forests (RSF) are a powerful method for risk prediction of right-censored outcomes in biomedical research. RSF use the log-rank split criterion to form an ensemble of survival trees. The most common approach to evaluate the…

Machine Learning · Statistics 2016-07-20 Matthias Schmid , Marvin Wright , Andreas Ziegler

Survival analysis is a valuable tool for estimating the time until specific events, such as death or cancer recurrence, based on baseline observations. This is particularly useful in healthcare to prognostically predict clinically important…

Machine Learning · Computer Science 2024-01-11 Ahmed H. Shahin , An Zhao , Alexander C. Whitehead , Daniel C. Alexander , Joseph Jacob , David Barber

The restricted mean survival time (RMST) model has been garnering attention as a way to provide a clinically intuitive measure: the mean survival time. RMST models, which use methods based on pseudo time-to-event values and inverse…

Methodology · Statistics 2024-06-11 Keisuke Hanada , Masahiro Kojima

Monitoring the quality of statistical processes has been of great importance, mostly in industrial applications. Control charts are widely used for this purpose, but often lack the possibility to monitor survival outcomes. Recently,…

Applications · Statistics 2024-06-19 Daniel Gomon , Marta Fiocco , Hein Putter , Mirko Signorelli

A core challenge in survival analysis is to model the distribution of censored time-to-event data, where the event of interest may be a death, failure, or occurrence of a specific event. Previous studies have showed that ranking and maximum…

Machine Learning · Computer Science 2025-01-27 Liwen Zhang , Lianzhen Zhong , Fan Yang , Di Dong , Hui Hui , Jie Tian

Recurrent events are common in clinical, healthcare, social and behavioral studies. A recent analysis framework for potentially censored recurrent event data is to construct a censored longitudinal data set consisting of times to the first…

Applications · Statistics 2025-02-11 Abigail Loe , Susan Murray , Zhenke Wu

In Huntington's disease research, a current goal is to understand how symptoms change prior to a clinical diagnosis. Statistically, this entails modeling symptom severity as a function of the covariate 'time until diagnosis', which is often…

Methodology · Statistics 2024-09-19 Seong-ho Lee , Brian D. Richardson , Yanyuan Ma , Karen S. Marder , Tanya P. Garcia

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…

Methodology · Statistics 2014-10-09 Wei-Yin Loh , Xu He , Michael Man

Random forests have become an established tool for classification and regression, in particular in high-dimensional settings and in the presence of complex predictor-response relationships. For bounded outcome variables restricted to the…

Methodology · Statistics 2019-01-21 Leonie Weinhold , Matthias Schmid , Marvin N. Wright , Moritz Berger

We study explained variation under the additive hazards regression model for right-censored data. We consider different approaches for developing such a measure, and focus on one that estimates the proportion of variation in the failure…

Applications · Statistics 2020-09-02 Denise Rava , Ronghui Xu

Assessing small-signal stability of power systems composed of thousands of interacting generators is a computationally challenging task. To reduce the computational burden, this paper introduces a novel condition to assess and certify…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Amin Gholami , Xu Andy Sun

Many time-to-event studies are complicated by the presence of competing risks. Such data are often analyzed using Cox models for the cause specific hazard function or Fine-Gray models for the subdistribution hazard. In practice regression…

Methodology · Statistics 2018-07-02 Rodney Sparapani , Brent R. Logan , Robert E. McCulloch , Purushottam W. Laud

Credit scoring plays a vital role in the field of consumer finance. Survival analysis provides an advanced solution to the credit-scoring problem by quantifying the probability of survival time. In order to deal with highly heterogeneous…

Machine Learning · Computer Science 2021-08-06 Miaojun Bai , Yan Zheng , Yun Shen

Ranked set sampling (RSS) is a cost-efficient study design that uses inexpensive baseline ranking to select a more informative subset of individuals for full measurement. While RSS is well known to improve precision over simple random…

Methodology · Statistics 2025-12-30 Nabil Awan , Richard J. Chappell

Survival analysis studies time-modeling techniques for an event of interest occurring for a population. Survival analysis found widespread applications in healthcare, engineering, and social sciences. However, the data needed to train…

Machine Learning · Computer Science 2023-02-22 Alberto Archetti , Eugenio Lomurno , Francesco Lattari , André Martin , Matteo Matteucci

Simulation studies are useful for evaluating and developing statistical methods for the analyses of complex problems. Performance of methods may be affected by multiple complexities present in real scenarios. Generating sufficiently…