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Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

机器学习 · 统计学 2020-11-06 Denise Rava , Jelena Bradic

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…

统计方法学 · 统计学 2024-10-24 Wen Su , Kin-Yat Liu , Guosheng Yin , Jian Huang , Xingqiu Zhao

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…

机器学习 · 统计学 2025-03-26 Changhui Yuan , Shishun Zhao , Shuwei Li , Xinyuan Song , Zhao Chen

Although the Cox proportional hazards model is well established and extensively used in the analysis of survival data, the proportional hazards (PH) assumption may not always hold in practical scenarios. The class of semiparametric…

统计方法学 · 统计学 2025-10-21 Junkai Yin , Yue Zhang , Zhangsheng Yu

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…

机器学习 · 统计学 2023-07-14 Hangbin Lee , IL DO HA , Youngjo Lee

We propose a versatile framework for survival analysis that combines advanced concepts from statistics with deep learning. The presented framework is based on piecewise exponential models and thereby supports various survival tasks, such as…

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…

机器学习 · 计算机科学 2023-10-05 Ruofan Wu , Jiawei Qiao , Mingzhe Wu , Wen Yu , Ming Zheng , Tengfei Liu , Tianyi Zhang , Weiqiang Wang

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…

统计方法学 · 统计学 2025-05-30 Bingqing Hu , Bin Nan

In this paper, a family of neural network-based survival models is presented. The models are specified based on piecewise definitions of the hazard function and the density function on a partitioning of the time; both constant and linear…

机器学习 · 统计学 2024-03-28 Olov Holmer , Erik Frisk , Mattias Krysander

An accelerated failure time (AFT) model assumes a log-linear relationship between failure times and a set of covariates. In contrast to other popular survival models that work on hazard functions, the effects of covariates are directly on…

机器学习 · 统计学 2025-07-15 Gwangsu Kim , Sangwook Kang

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…

机器学习 · 统计学 2024-04-23 Jesse Islam , Maxime Turgeon , Robert Sladek , Sahir Bhatnagar

We introduce DeepFHT, a survival-analysis framework that couples deep neural networks with first hitting time (FHT) distributions from stochastic process theory. Time to event is represented as the first passage of a latent diffusion…

机器学习 · 计算机科学 2026-05-13 Alessio Cristofoletto , Cesare Rollo , Giovanni Birolo , Piero Fariselli

I consider inference in a partially linear regression model under stationary $\beta$-mixing data after first stage deep neural network (DNN) estimation. Using the DNN results of Brown (2024), I show that the estimator for the finite…

计量经济学 · 经济学 2024-10-31 Chad Brown

The Cox Proportional Hazards (CPH) model has long been the preferred survival model for its explainability. However, to increase its predictive power beyond its linear log-risk, it was extended to utilize deep neural networks, sacrificing…

机器学习 · 计算机科学 2025-12-02 Abdallah Alabdallah , Omar Hamed , Mattias Ohlsson , Thorsteinn Rögnvaldsson , Sepideh Pashami

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…

机器学习 · 计算机科学 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

Deep neural networks (DNN) have been used successfully in many scientific problems for their high prediction accuracy, but their application to genetic studies remains challenging due to their poor interpretability. In this paper, we…

机器学习 · 计算机科学 2021-10-01 Peyman H. Kassani , Fred Lu , Yann Le Guen , Zihuai He

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…

机器学习 · 统计学 2025-08-07 Qizhen Wang , Gang Wang , Ying-Chang Liang

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…

机器学习 · 统计学 2020-02-12 Michael F. Gensheimer , Balasubramanian Narasimhan

DNNs have been quickly and broadly exploited to improve the data analysis quality in many complex science and engineering applications. Today's DNNs are becoming deeper and wider because of increasing demand on the analysis quality and more…

计算机视觉与模式识别 · 计算机科学 2019-04-24 Sian Jin , Sheng Di , Xin Liang , Jiannan Tian , Dingwen Tao , Franck Cappello

There has been increasing interest in modelling survival data using deep learning methods in medical research. Current approaches have focused on designing special cost functions to handle censored survival data. We propose a very different…

机器学习 · 统计学 2020-03-12 Lili Zhao , Dai Feng
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