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A central focus in survival analysis is examining how covariates influence survival time. These covariate effects are often found to be either time-varying, heterogeneous - such as being specific to patients, treatments, or subgroups - or…

Methodology · Statistics 2025-01-24 Niklas Hagemann , Thomas Kneib , Kathrin Möllenhoff

We consider high-dimensional inference for potentially misspecified Cox proportional hazard models based on low dimensional results by Lin and Wei [1989]. A de-sparsified Lasso estimator is proposed based on the log partial likelihood…

Statistics Theory · Mathematics 2018-11-02 Shengchun Kong , Zhuqing Yu , Xianyang Zhang , Guang Cheng

We propose a general approach for encouraging fairness in survival analysis models based on minimizing a worst-case error across all subpopulations that occur with at least a user-specified probability. This approach can be used to convert…

Machine Learning · Statistics 2024-09-18 Shu Hu , George H. Chen

The purpose of this article is to provide an adaptive estimator of the baseline function in the Cox model with high-dimensional covariates. We consider a two-step procedure : first, we estimate the regression parameter of the Cox model via…

Statistics Theory · Mathematics 2015-03-04 Agathe Guilloux , Sarah Lemler , Marie-Luce Taupin

We present a neural network framework for learning a survival model to predict a time-to-event outcome while simultaneously learning a topic model that reveals feature relationships. In particular, we model each subject as a distribution…

Machine Learning · Computer Science 2024-06-06 George H. Chen , Linhong Li , Ren Zuo , Amanda Coston , Jeremy C. Weiss

We present neural frailty machine (NFM), a powerful and flexible neural modeling framework for survival regressions. The NFM framework utilizes the classical idea of multiplicative frailty in survival analysis to capture unobserved…

Machine Learning · Computer Science 2023-10-05 Ruofan Wu , Jiawei Qiao , Mingzhe Wu , Wen Yu , Ming Zheng , Tengfei Liu , Tianyi Zhang , Weiqiang Wang

We propose two novel approaches for estimating time-varying effects of functional predictors within a linear functional Cox model framework. This model allows for time-varying associations of a functional predictor observed at baseline,…

Methodology · Statistics 2024-12-20 Hongyu Du , Andrew Leroux

We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser. B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard…

Statistics Theory · Mathematics 2007-06-13 Michael R. Kosorok , Bee Leng Lee , Jason P. Fine

Patient trajectories from electronic health records are widely used to estimate conditional average potential outcomes (CAPOs) of treatments over time, which then allows to personalize care. Yet, existing neural methods for this purpose…

Machine Learning · Computer Science 2025-02-19 Konstantin Hess , Stefan Feuerriegel

We develop a functional proportional hazards mixture cure (FPHMC) model with scalar and functional covariates measured at the baseline. The mixture cure model, useful in studying populations with a cure fraction of a particular event of…

Methodology · Statistics 2023-03-31 Rahul Ghosal , Marcos Matabuena , Jiajia Zhang

Time-to-event analysis, also known as survival analysis, aims to predict the time of occurrence of an event, given a set of features. One of the major challenges in this area is dealing with censored data, which can make learning algorithms…

Machine Learning · Computer Science 2023-07-25 Hyunjun Lee , Junhyun Lee , Taehwa Choi , Jaewoo Kang , Sangbum Choi

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…

Machine Learning · Computer Science 2020-03-20 Camila Fernandez , Chung Shue Chen , Pierre Gaillard , Alonso Silva

Important objectives in cancer research are the prediction of a patient's risk based on molecular measurements such as gene expression data and the identification of new prognostic biomarkers (e.g. genes). In clinical practice, this is…

Applications · Statistics 2020-04-17 Katrin Madjar , Manuela Zucknick , Katja Ickstadt , Jörg Rahnenführer

In clinical trials involving both mortality and morbidity, an active treatment can influence the observed risk of the first non-fatal event either directly, through its effect on the underlying non-fatal event process, or indirectly,…

Methodology · Statistics 2025-11-19 Jiren Sun , Thomas D. Cook

Survival analysis is a critical tool for the modelling of time-to-event data, such as life expectancy after a cancer diagnosis or optimal maintenance scheduling for complex machinery. However, current neural network models provide an…

Machine Learning · Statistics 2021-12-06 Fabio Luis de Mello , J Mark Wilkinson , Visakan Kadirkamanathan

This paper introduces the Orthogonal Polynomials Quadrature Algorithm for Survival Analysis (OPSurv), a new method providing time-continuous functional outputs for both single and competing risks scenarios in survival analysis. OPSurv…

Machine Learning · Computer Science 2024-02-06 Lilian W. Bialokozowicz , Hoang M. Le , Tristan Sylvain , Peter A. I. Forsyth , Vineel Nagisetty , Greg Mori

Survival analysis is a hotspot in statistical research for modeling time-to-event information with data censorship handling, which has been widely used in many applications such as clinical research, information system and other fields with…

Machine Learning · Computer Science 2018-11-14 Kan Ren , Jiarui Qin , Lei Zheng , Zhengyu Yang , Weinan Zhang , Lin Qiu , Yong Yu

Background: Effective allocation of limited donor lungs in cystic fibrosis (CF) requires accurate survival predictions, so that high-risk patients may be prioritized for transplantation. In practice, decisions about allocation are made…

Applications · Statistics 2017-06-30 Aasthaa Bansal , Nicole Mayer-Hamblett , Christopher H. Goss , Patrick J. Heagerty

Time-to-event semi-competing risk endpoints may be correlated when both events are occurring on the same individual. These events and the association between them may also be influenced by individual characteristics. In this paper, we…

Methodology · Statistics 2023-04-07 Yinghui Wei , Malgorzata Wojtys , Lexy Sorrell , Peter Rowe

A new modification of the explanation method SurvLIME called SurvLIME-Inf for explaining machine learning survival models is proposed. The basic idea behind SurvLIME as well as SurvLIME-Inf is to apply the Cox proportional hazards model to…

Machine Learning · Computer Science 2020-05-07 Lev V. Utkin , Maxim S. Kovalev , Ernest M. Kasimov