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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…

机器学习 · 统计学 2019-09-16 Håvard Kvamme , Ørnulf Borgan , Ida Scheel

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

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

Most work in neural networks focuses on estimating the conditional mean of a continuous response variable given a set of covariates.In this article, we consider estimating the conditional distribution function using neural networks for both…

统计方法学 · 统计学 2022-07-07 Bingqing Hu , Bin Nan

We introduce new approaches for forecasting IBNR (Incurred But Not Reported) frequencies by leveraging individual claims data, which includes accident date, reporting delay, and possibly additional features for every reported claim. A key…

统计方法学 · 统计学 2025-10-27 Munir Hiabu , Emil Hofman , Gabriele Pittarello

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…

统计方法学 · 统计学 2026-02-17 Xiang Meng , Lu Tian , Kenneth Kehl , Hajime Uno

The use of massive survival data has become common in survival analysis. In this study, a subsampling algorithm is proposed for the Cox proportional hazards model with time-dependent covariates when the sample is extraordinarily large but…

统计计算 · 统计学 2023-02-07 Nan Qiao , Wangcheng Li , Feng Xiao , Cunjie Lin , Yong Zhou

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…

Survival analysis is a challenging variation of regression modeling because of the presence of censoring, where the outcome measurement is only partially known, due to, for example, loss to follow up. Such problems come up frequently in…

机器学习 · 计算机科学 2022-06-28 Chirag Nagpal , Steve Yadlowsky , Negar Rostamzadeh , Katherine Heller

Insurance industry is one of the most vulnerable sectors to climate change. Assessment of future number of claims and incurred losses is critical for disaster preparedness and risk management. In this project, we study the effect of…

应用统计 · 统计学 2021-03-17 Asim K. Dey , Vyacheslav Lyubchich , Yulia R. Gel

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…

统计方法学 · 统计学 2021-06-10 Steve Cygu , Jonathan Dushoff , Benjamin M. Bolker

The Cox proportional hazards model is widely used in survival analysis to model time-to-event data. However, it faces significant computational challenges in the era of large-scale data, particularly when dealing with time-dependent…

统计方法学 · 统计学 2025-01-14 Miaomiao Su , Ruoyu Wang

This paper proposes a flexible and analytically tractable class of frequency and severity models for predicting insurance claims. The proposed model is able to capture nonlinear relationships in explanatory variables by characterizing the…

计量经济学 · 经济学 2025-04-01 Dong-Young Lim

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…

机器学习 · 统计学 2021-02-16 Stefan Groha , Sebastian M Schmon , Alexander Gusev

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…

机器学习 · 计算机科学 2022-07-12 Dekai Zhang , Francesca Toni , Matthew Williams

A new method called SurvLIME for explaining machine learning survival models is proposed. It can be viewed as an extension or modification of the well-known method LIME. The main idea behind the proposed method is to apply the Cox…

机器学习 · 计算机科学 2020-03-19 Maxim S. Kovalev , Lev V. Utkin , Ernest M. Kasimov

A new method for the analysis of time to ankylosis complication on a dataset of replanted teeth is proposed. In this context of left-censored, interval-censored and right-censored data, a Cox model with piecewise constant baseline hazard is…

统计方法学 · 统计学 2020-10-15 Olivier Bouaziz , Eva Lauridsen , Grégory Nuel

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…

机器学习 · 计算机科学 2021-06-10 Chirag Nagpal , Xinyu Rachel Li , Artur Dubrawski

In a Cox model, the partial likelihood, as the product of a series of conditional probabilities, is used to estimate the regression coefficients. In practice, those conditional probabilities are approximated by risk score ratios based on a…

统计方法学 · 统计学 2025-02-27 Youngjin Cho , Yili Hong , Pang Du

Survival analysis is a statistical technique used to estimate the time until an event occurs. Although it is applied across a wide range of fields, adjusting for reporting delays under practical constraints remains a significant challenge…

机器学习 · 统计学 2025-10-27 Yuta Shikuri , Hironori Fujisawa
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