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We revisit Cox's proportional hazard models and LASSO in the aim of improving feature selection in survival analysis. Unlike traditional methods relying on cross-validation or BIC, the penalty parameter $\lambda$ is directly tuned for…

Machine Learning · Statistics 2025-10-23 Maxime van Cutsem , Sylvain Sardy

Reliable uncertainty quantification is essential in survival prediction, particularly in clinical settings where erroneous decisions carry high risk. Conformal prediction has attracted substantial attention as it offers a model-agnostic…

Methodology · Statistics 2025-12-04 Jaeyoung Shin , Chi Hyun Lee , Sangwook Kang

Survival analysis holds a crucial role across diverse disciplines, such as economics, engineering and healthcare. It empowers researchers to analyze both time-invariant and time-varying data, encompassing phenomena like customer churn,…

Existing survival analysis techniques heavily rely on strong modelling assumptions and are, therefore, prone to model misspecification errors. In this paper, we develop an inferential method based on ideas from conformal prediction, which…

Methodology · Statistics 2023-04-25 Emmanuel J. Candès , Lihua Lei , Zhimei Ren

Under a single-index regression assumption, we introduce a new semiparametric procedure to estimate a conditional density of a censored response. The regression model can be seen as a generalization of Cox regression model and also as a…

Statistics Theory · Mathematics 2009-03-22 Olivier Bouaziz , Olivier Lopez

Survival analysis is an important research topic with applications in healthcare, business, and manufacturing. One essential tool in this area is the Cox proportional hazards (CPH) model, which is widely used for its interpretability,…

Machine Learning · Computer Science 2024-10-28 Jiachang Liu , Rui Zhang , Cynthia Rudin

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales well to large data…

Machine Learning · Statistics 2019-09-16 Håvard Kvamme , Ørnulf Borgan , Ida Scheel

We propose a class of transformation hazard models for right-censored failure time data. It includes the proportional hazards model (Cox) and the additive hazards model (Lin and Ying) as special cases. Due to the requirement of a…

Statistics Theory · Mathematics 2007-06-13 Gousheng Yin , Joseph G. Ibrahim

This manuscripts develops a new class of deep learning algorithms for outcomes that are potentially censored. To account for censoring, the unobservable loss function used in the absence of censoring is replaced by a censoring unbiased…

Methodology · Statistics 2019-04-24 Jon Arni Steingrimsson

Traditional survival models such as the Cox proportional hazards model are typically based on scalar or categorical clinical features. With the advent of increasingly large image datasets, it has become feasible to incorporate quantitative…

Computer Vision and Pattern Recognition · Computer Science 2020-01-09 Christoph Haarburger , Philippe Weitz , Oliver Rippel , Dorit Merhof

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…

Machine Learning · Computer Science 2022-10-24 Gabriele Campanella , Lucas Kook , Ida Häggström , Torsten Hothorn , Thomas J. Fuchs

The classical approach to analyze time-to-event data, e.g. in clinical trials, is to fit Kaplan-Meier curves yielding the treatment effect as the hazard ratio between treatment groups. Afterwards commonly a log-rank test is performed in…

Methodology · Statistics 2020-09-16 Kathrin Möllenhoff , Achim Tresch

In this study, we address the challenge of survival analysis within heterogeneous patient populations, where traditional reliance on a single regression model such as the Cox proportional hazards (Cox PH) model often falls short.…

Methodology · Statistics 2025-04-15 Ahmad Talafha

In this paper, we predict conditional survival functions through a combined regression strategy. We take weak learners as different random survival trees. We propose to maximize concordance in the right-censored set up to find the optimal…

Machine Learning · Statistics 2022-10-12 Rahul Goswami , Arabin Kumar Dey

Application of discrete-time survival methods for continuous-time survival prediction is considered. For this purpose, a scheme for discretization of continuous-time data is proposed by considering the quantiles of the estimated event-time…

Machine Learning · Statistics 2019-10-16 Håvard Kvamme , Ørnulf Borgan

Feature screening is an important tool in analyzing ultrahigh-dimensional data, particularly in the field of Omics and oncology studies. However, most attention has been focused on identifying features that have a linear or monotonic impact…

Methodology · Statistics 2023-05-10 Yaxian Chen , KF Lam , Zhonghua Liu

We introduce a mixture model for censored durations (C-mix), and develop maximum likelihood inference for the joint estimation of the time distributions and latent regression parameters of the model. We consider a high-dimensional setting,…

Machine Learning · Statistics 2017-11-28 Simon Bussy , Agathe Guilloux , Stéphane Gaïffas , Anne-Sophie Jannot

We study the variable selection problem in survival analysis to identify the most important factors affecting survival time. Our method incorporates prior knowledge of mutual correlations among variables, represented through a graph. We…

Statistics Theory · Mathematics 2025-04-25 Liyan Xie , Xi He , Pinar Keskinocak , Yao Xie

In survival analysis it often happens that some subjects under study do not experience the event of interest; they are considered to be `cured'. The population is thus a mixture of two subpopulations: the one of cured subjects, and the one…

Statistics Theory · Mathematics 2017-01-16 Valentin Patilea , Ingrid Van Keilegom

Concept-based learning enhances prediction accuracy and interpretability by leveraging high-level, human-understandable concepts. However, existing CBL frameworks do not address survival analysis tasks, which involve predicting event times…

Machine Learning · Computer Science 2025-02-11 Stanislav R. Kirpichenko , Lev V. Utkin , Andrei V. Konstantinov , Natalya M. Verbova