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Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

Machine Learning · Statistics 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

This research integrates deep learning, copula functions, and survival analysis to effectively handle highly correlated and right-censored multivariate survival data. It introduces copula-based activation functions (Clayton, Gumbel, and…

Machine Learning · Statistics 2025-07-22 Jong-Min Kim , Il Do Ha , Sangjin Kim

Survival analysis often relies on Cox models, assuming both linearity and proportional hazards (PH). This study evaluates machine and deep learning methods that relax these constraints, comparing their performance with penalized Cox models…

Machine Learning · Computer Science 2025-10-21 Ivan Rossi , Flavio Sartori , Cesare Rollo , Giovanni Birolo , Piero Fariselli , Tiziana Sanavia

Traditional statistical approaches primarily aim to model associations between variables, but many scientific and practical questions require causal methods instead. These approaches rely on assumptions about an underlying structure, often…

Methodology · Statistics 2025-11-26 Sjoerd Hermes , Joost van Heerwaarden , Fred van Eeuwijk , Pariya Behrouzi

Survival analysis encompasses a broad range of methods for analyzing time-to-event data, with one key objective being the comparison of survival curves across groups. Traditional approaches for identifying clusters of survival curves often…

Methodology · Statistics 2025-12-19 Nora M. Villanueva , Marta Sestelo , Luis Meira-Machado

The Concordance Index (C-index) is a commonly used metric in Survival Analysis for evaluating the performance of a prediction model. In this paper, we propose a decomposition of the C-index into a weighted harmonic mean of two quantities:…

Machine Learning · Computer Science 2024-01-23 Abdallah Alabdallah , Mattias Ohlsson , Sepideh Pashami , Thorsteinn Rögnvaldsson

In this paper, we explore a method for treating survival analysis as a classification problem. The method uses a "stacking" idea that collects the features and outcomes of the survival data in a large data frame, and then treats it as a…

Methodology · Statistics 2019-09-27 Chenyang Zhong , Robert Tibshirani

Breast cancer patients may experience relapse or death after surgery during the follow-up period, leading to dependent censoring of relapse. This phenomenon, known as semi-competing risk, imposes challenges in analyzing treatment effects on…

Methodology · Statistics 2024-07-03 Tonghui Yu , Mengjiao Peng , Yifan Cui , Elynn Chen , Chixiang Chen

For multivariate data, dependence beyond pair-wise can be important. This is true, for example, in using functional MRI (fMRI) data to investigate brain functional connectivity. When one has more than a few variables, however, the number of…

Methodology · Statistics 2015-08-04 Steven P. Ellis , Arno Klein

Survival analysis is a widely-used technique for analyzing time-to-event data in the presence of censoring. In recent years, numerous survival analysis methods have emerged which scale to large datasets and relax traditional assumptions…

Machine Learning · Computer Science 2023-11-06 Mert Ketenci , Shreyas Bhave , Noémie Elhadad , Adler Perotte

Causal structures for observational survival data provide crucial information regarding the relationships between covariates and time-to-event. We derive motivation from the information theoretic source coding argument, and show that…

Machine Learning · Computer Science 2021-11-03 Ansh Kumar Sharma , Rahul Kukreja , Ranjitha Prasad , Shilpa Rao

Machine learning applications for longitudinal electronic health records often forecast the risk of events at fixed time points, whereas survival analysis achieves dynamic risk prediction by estimating time-to-event distributions. Here, we…

Machine Learning · Computer Science 2024-11-26 Munib Mesinovic , Peter Watkinson , Tingting Zhu

Survival analysis is a widely known method for predicting the likelihood of an event over time. The challenge of dealing with censored samples still remains. Traditional methods, such as the Cox Proportional Hazards (CPH) model, hinge on…

Machine Learning · Computer Science 2025-01-10 Chanon Puttanawarut , Panu Looareesuwan , Romen Samuel Wabina , Prut Saowaprut

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

Health policy decisions are often informed by estimates of long-term survival based primarily on short-term data. A range of methods are available to include longer-term information, but there has previously been no comprehensive and…

Methodology · Statistics 2025-05-05 Christopher Jackson

Survival analysis is essential for studying time-to-event outcomes and providing a dynamic understanding of the probability of an event occurring over time. Various survival analysis techniques, from traditional statistical models to…

Machine Learning · Computer Science 2024-03-13 Ziwen Wang , Jin Wee Lee , Tanujit Chakraborty , Yilin Ning , Mingxuan Liu , Feng Xie , Marcus Eng Hock Ong , Nan Liu

In many time-to-event studies, the event of interest is recurrent. Here, the data for each sample unit corresponds to a series of gap times between the subsequent events. Given a limited follow-up period, the last gap time might be…

Methodology · Statistics 2018-02-28 Nicole Barthel , Candida Geerdens , Claudia Czado , Paul Janssen

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

When modelling competing risks survival data, several techniques have been proposed in both the statistical and machine learning literature. State-of-the-art methods have extended classical approaches with more flexible assumptions that can…

A population-averaged additive subdistribution hazards model is proposed to assess the marginal effects of covariates on the cumulative incidence function and to analyze correlated failure time data subject to competing risks. This approach…

Methodology · Statistics 2023-08-23 Xinyuan Chen , Denise Esserman , Fan Li