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Medical practitioners use survival models to explore and understand the relationships between patients' covariates (e.g. clinical and genetic features) and the effectiveness of various treatment options. Standard survival models like the…

Machine Learning · Statistics 2018-03-09 Jared Katzman , Uri Shaham , Jonathan Bates , Alexander Cloninger , Tingting Jiang , Yuval Kluger

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

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

Traditional survival models often rely on restrictive assumptions such as proportional hazards or instantaneous effects of time-varying covariates on the hazard function, which limit their applicability in real-world settings. We consider…

Methodology · Statistics 2025-05-30 Bingqing Hu , Bin Nan

We describe a new approach to estimating relative risks in time-to-event prediction problems with censored data in a fully parametric manner. Our approach does not require making strong assumptions of constant proportional hazard of the…

Machine Learning · Computer Science 2021-06-10 Chirag Nagpal , Xinyu Rachel Li , Artur Dubrawski

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

Semi-parametric survival analysis methods like the Cox Proportional Hazards (CPH) regression (Cox, 1972) are a popular approach for survival analysis. These methods involve fitting of the log-proportional hazard as a function of the…

Machine Learning · Computer Science 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

Variable selection problem for the nonlinear Cox regression model is considered. In survival analysis, one main objective is to identify the covariates that are associated with the risk of experiencing the event of interest. The Cox…

Machine Learning · Statistics 2022-11-18 Kexuan Li

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

Recent research has shown the potential for neural networks to improve upon classical survival models such as the Cox model, which is widely used in clinical practice. Neural networks, however, typically rely on data that are centrally…

Machine Learning · Computer Science 2022-07-12 Dekai Zhang , Francesca Toni , Matthew Williams

In the context of survival analysis, data-driven neural network-based methods have been developed to model complex covariate effects. While these methods may provide better predictive performance than regression-based approaches, not all…

Machine Learning · Statistics 2024-04-23 Jesse Islam , Maxime Turgeon , Robert Sladek , Sahir Bhatnagar

Survival models are a popular tool for the analysis of time to event data with applications in medicine, engineering, economics, and many more. Advances like the Cox proportional hazard model have enabled researchers to better describe…

Machine Learning · Statistics 2021-02-16 Stefan Groha , Sebastian M Schmon , Alexander Gusev

A prevalent feature of high-dimensional data is the dependence among covariates, and model selection is known to be challenging when covariates are highly correlated. To perform model selection for the high-dimensional Cox proportional…

Methodology · Statistics 2022-10-04 Pierre Bayle , Jianqing Fan

There is currently great interest in applying neural networks to prediction tasks in medicine. It is important for predictive models to be able to use survival data, where each patient has a known follow-up time and event/censoring…

Machine Learning · Statistics 2020-02-12 Michael F. Gensheimer , Balasubramanian Narasimhan

The Cox proportional hazards model is a canonical method in survival analysis for prediction of the life expectancy of a patient given clinical or genetic covariates -- it is a linear model in its original form. In recent years, several…

Machine Learning · Statistics 2022-08-23 Xuelin Yang , Louis Abraham , Sejin Kim , Petr Smirnov , Feng Ruan , Benjamin Haibe-Kains , Robert Tibshirani

Flexible continuous-time survival modeling is critical for capturing complex time-varying hazard dynamics in high-dimensional data; however, training such models remains challenging due to the intractable integral required for likelihood…

Machine Learning · Statistics 2026-05-18 Chaeyeon Lee , Sehwan Kim , Hyungrok Do

The penalized Cox proportional hazard model is a popular analytical approach for survival data with a large number of covariates. Such problems are especially challenging when covariates vary over follow-up time (i.e., the covariates are…

Methodology · Statistics 2021-06-10 Steve Cygu , Jonathan Dushoff , Benjamin M. Bolker

An accurate model of patient-specific kidney graft survival distributions can help to improve shared-decision making in the treatment and care of patients. In this paper, we propose a deep learning method that directly models the survival…

Machine Learning · Computer Science 2017-05-30 Margaux Luck , Tristan Sylvain , Héloïse Cardinal , Andrea Lodi , Yoshua Bengio

Survival regression is widely used to model time-to-events data, to explore how covariates may influence the occurrence of events. Modern datasets often encompass a vast number of covariates across many subjects, with only a subset of the…

Methodology · Statistics 2024-09-18 Abhishek Mandal , Abhisek Chakraborty

The hazard ratio from the Cox proportional hazards model is a ubiquitous summary of treatment effect. However, when hazards are non-proportional, the hazard ratio can lose a stable causal interpretation and become study-dependent because it…

Methodology · Statistics 2026-02-17 Xiang Meng , Lu Tian , Kenneth Kehl , Hajime Uno
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