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Predicting patient survival probabilities based on observed covariates is an important assessment in clinical practice. These patient-specific covariates are often measured over multiple follow-up appointments. It is then of interest to…

统计方法学 · 统计学 2021-11-11 Annabel L. Davies , Anthony C. C. Coolen , Tobias Galla

The problem of how to best select variables for confounding adjustment forms one of the key challenges in the evaluation of exposure effects in observational studies, and has been the subject of vigorous recent activity in causal inference.…

统计方法学 · 统计学 2021-12-02 Kelly Van Lancker , Oliver Dukes , Stijn Vansteelandt

Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

统计方法学 · 统计学 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

In epidemiological studies of time-to-event data, a quantity of interest to the clinician and the patient is the risk of an event given a covariate profile. However, methods relying on time matching or risk-set sampling (including Cox…

统计方法学 · 统计学 2020-09-23 Sahir Rai Bhatnagar , Maxime Turgeon , Jesse Islam , James A. Hanley , Olli Saarela

The Cox proportional hazards model is the most widely used regression model in univariate survival analysis. Extensions of the Cox model to bivariate survival data, however, remain scarce. We propose two novel extensions based on a…

统计方法学 · 统计学 2025-11-12 Yael Travis-Lumer , Micha Mandel , Ido Didi Fabian , Rebecca A. Betensky , Malka Gorfine

Learning the cumulative distribution function (CDF) of an outcome variable conditional on a set of features remains challenging, especially in high-dimensional settings. Conditional transformation models provide a semi-parametric approach…

机器学习 · 计算机科学 2021-10-05 Philipp F. M. Baumann , Torsten Hothorn , David Rügamer

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

机器学习 · 计算机科学 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

The pseudo-observations approach has been gaining popularity as a method to estimate covariate effects on censored survival data. It is used regularly to estimate covariate effects on quantities such as survival probabilities, restricted…

统计方法学 · 统计学 2024-12-06 Yael Travis-Lumer , Micha Mandel , Rebecca A. Betensky

The use of deep neural networks to make high risk decisions creates a need for global and local explanations so that users and experts have confidence in the modeling algorithms. We introduce a novel technique to find global and local…

机器学习 · 计算机科学 2019-08-15 Xochitl Watts , Freddy Lecue

An every increasing number of clinical trials features a time-to-event outcome and records non-tabular patient data, such as magnetic resonance imaging or text data in the form of electronic health records. Recently, several neural-network…

机器学习 · 计算机科学 2022-10-24 Gabriele Campanella , Lucas Kook , Ida Häggström , Torsten Hothorn , Thomas J. Fuchs

In this paper, we make an experimental comparison of semi-parametric (Cox proportional hazards model, Aalen's additive regression model), parametric (Weibull AFT model), and machine learning models (Random Survival Forest, Gradient Boosting…

机器学习 · 计算机科学 2020-03-20 Camila Fernandez , Chung Shue Chen , Pierre Gaillard , Alonso Silva

Hazard ratios are often used to evaluate time to event outcomes, but they may be hard to interpret. A particular issue arise because hazards are typically estimated conditional on survival, i.e.\ on left truncated samples. Then, hazard…

统计方法学 · 统计学 2018-03-23 Mats Julius Stensrud

Accurate prediction of time-to-event outcomes is critical for clinical decision-making, treatment planning, and resource allocation in modern healthcare. While classical survival models such as Cox remain widely adopted in standard…

机器学习 · 计算机科学 2026-02-03 Marina Mastroleo , Alberto Archetti , Federico Mastroleo , Matteo Matteucci

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

统计方法学 · 统计学 2022-10-07 Emil Aas Stoltenberg

This paper studies Cox's regression hazard model with an unobservable random frailty where no specific distribution is postulated for the frailty variable, and the marginal lifetime distribution allows both parametric and non-parametric…

统计方法学 · 统计学 2015-10-09 Vahed Maroufy , Paul Marriott

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

统计理论 · 数学 2014-09-08 James E. Barrett , Anthony C. C. Coolen

In Bayesian semi-parametric analyses of time-to-event data, non-parametric process priors are adopted for the baseline hazard function or the cumulative baseline hazard function for a given finite partition of the time axis. However, it…

统计方法学 · 统计学 2020-08-06 Yi Li , Sumi Seo , Kyu Ha Lee

We consider learning causal relationships under conditional moment restrictions. Unlike causal inference under unconditional moment restrictions, conditional moment restrictions pose serious challenges for causal inference, especially in…

计量经济学 · 经济学 2022-09-30 Masahiro Kato , Masaaki Imaizumi , Kenichiro McAlinn , Haruo Kakehi , Shota Yasui

Estimating causal effects from nonexperimental data is a fundamental problem in many fields of science. A key component of this task is selecting an appropriate set of covariates for confounding adjustment to avoid bias. Most existing…

机器学习 · 计算机科学 2025-10-28 Zheng Li , Xichen Guo , Feng Xie , Yan Zeng , Hao Zhang , Zhi Geng

One of the most common ways researchers compare survival outcomes across treatments when confounding is present is using Cox regression. This model is limited by its underlying assumption of proportional hazards; in some cases, substantial…

应用统计 · 统计学 2021-02-02 Elizabeth A. Handorf , Marc Smaldone , Sujana Movva , Nandita Mitra