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Semiparametric accelerated failure time (AFT) models directly relate the predicted failure times to covariates and are a useful alternative to models that work on the hazard function or the survival function. For case-cohort data, much less…

Computation · Statistics 2022-12-15 Steven Chiou , Sangwook Kang , Jun Yan

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

Semiparametric accelerated failure time (AFT) models are a useful alternative to Cox proportional hazards models, especially when the assumption of constant hazard ratios is untenable. However, rank-based criteria for fitting AFT models are…

Methodology · Statistics 2022-01-20 Piotr M. Suder , Aaron J. Molstad

The accelerated failure time (AFT) model is widely used to analyze relationships between variables in the presence of censored observations. However, this model relies on some assumptions such as the error distribution, which can lead to…

Methodology · Statistics 2026-02-10 Sangkon Oh , Hyunjae Lee , Sangwook Kang , Byungtae Seo

Accelerated failure time (AFT) models provide a direct and interpretable time-scale description of covariate effects in lifetime data analysis, but classical formulations rely on linear predictors and are therefore limited in their ability…

Machine Learning · Statistics 2026-03-20 Mebin Jose , Jisha Francis , Sudheesh Kumar Kattumannil

Deep neural networks (DNNs) have become powerful tools for modeling complex data structures through sequentially integrating simple functions in each hidden layer. In survival analysis, recent advances of DNNs primarily focus on enhancing…

Machine Learning · Statistics 2025-03-26 Changhui Yuan , Shishun Zhao , Shuwei Li , Xinyuan Song , Zhao Chen

Accelerated failure time (AFT) models are used widely in medical research, though to a much lesser extent than proportional hazards models. In an AFT model, the effect of covariates act to accelerate or decelerate the time to event of…

Methodology · Statistics 2020-06-15 Michael J. Crowther , Patrick Royston , Mark Clements

Detection limits are common in biomedical and environmental studies, where key covariates or outcomes are censored below an assay-specific threshold. Standard approaches such as complete-case analysis, single-value substitution, and…

Methodology · Statistics 2025-12-12 Y. Xu , S. Tu L. Shao , T. Lin , X. M. Tu

The semiparametric accelerated failure time (AFT) model offers a direct and interpretable alternative to the Cox proportional hazards model, yet practical diagnostic tools for this framework remain limited. We introduce afttest, an R…

Computation · Statistics 2026-03-09 Woojung Bae , Dongrak Choi , Jun Yan , Sangwook Kang

Survival analysis is complicated by censored data, high-dimensional features, and non-linear interactions. Classical models offer interpretability and superior calibration but are restricted to linear or predefined functional forms, while…

Machine Learning · Computer Science 2026-05-19 Mohammad Ashhad , Robert Hoehndorf , Ricardo Henao

Accelerated failure time (AFT) models are frequently used to model survival data, providing a direct quantification of the relationship between event times and covariates. These models allow for the acceleration or deceleration of failure…

Methodology · Statistics 2024-12-23 Aishwarya Bhaskaran , Ding Ma , Benoit Liquet , Angela Hong , Stephane Heritier , Serigne N Lo , Jun Ma

An important task in survival analysis is choosing a structure for the relationship between covariates of interest and the time-to-event outcome. For example, the accelerated failure time (AFT) model structures each covariate effect as a…

Methodology · Statistics 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

Deep neural network (DNN) based approaches hold significant potential for reinforcement learning (RL) and have already shown remarkable gains over state-of-art methods in a number of applications. The effectiveness of DNN methods can be…

Machine Learning · Statistics 2017-06-01 Henghui Zhu , Feng Nan , Ioannis Paschalidis , Venkatesh Saligrama

Survival regression is used to estimate the relation between time-to-event and feature variables, and is important in application domains such as medicine, marketing, risk management and sales management. Nonlinear tree based machine…

Machine Learning · Computer Science 2021-08-24 Avinash Barnwal , Hyunsu Cho , Toby Dylan Hocking

For prediction of clustered time-to-event data, we propose a new deep neural network based gamma frailty model (DNN-FM). An advantage of the proposed model is that the joint maximization of the new h-likelihood provides maximum likelihood…

Machine Learning · Statistics 2023-07-14 Hangbin Lee , IL DO HA , Youngjo Lee

This work presents a new model and estimation procedure for the illness-death survival data where the hazard functions follow accelerated failure time (AFT) models. A shared frailty variate induces positive dependence among failure times of…

Methodology · Statistics 2022-05-10 Lea Kats , Malka Gorfine

This paper proposes a deep neural network (DNN)-driven framework to address the longstanding generalization challenge in adaptive filtering (AF). In contrast to traditional AF frameworks that emphasize explicit cost function design, the…

Machine Learning · Statistics 2025-08-07 Qizhen Wang , Gang Wang , Ying-Chang Liang

We propose a flexible deep neural network (DNN) framework for modeling survival data within a partially linear regression structure. The approach preserves interpretability through a parametric linear component for covariates of primary…

Machine Learning · Statistics 2026-04-28 Asaf Ben Arie , Malka Gorfine

The semiparametric accelerated failure time model is not as widely used as the Cox relative risk model mainly due to computational difficulties. Recent developments in least squares estimation and induced smoothing estimating equations…

Methodology · Statistics 2015-06-02 Steven Chiou , Junghi Kim , Jun Yan

We propose a novel deep learning approach to nonparametric statistical inference for the conditional hazard function of survival time with right-censored data. We use a deep neural network (DNN) to approximate the logarithm of a conditional…

Methodology · Statistics 2024-10-24 Wen Su , Kin-Yat Liu , Guosheng Yin , Jian Huang , Xingqiu Zhao
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