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In this paper, we propose a flexible model for survival analysis using neural networks along with scalable optimization algorithms. One key technical challenge for directly applying maximum likelihood estimation (MLE) to censored data is…

机器学习 · 统计学 2021-12-07 Weijing Tang , Jiaqi Ma , Qiaozhu Mei , Ji Zhu

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

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

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

Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

统计方法学 · 统计学 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

In population-based cohorts, disease diagnoses are typically censored by intervals as made during scheduled follow-up visits. The exact disease onset time is thus unknown, and in the presence of semi-competing risk of death, subjects may…

统计方法学 · 统计学 2025-08-25 Ariane Bercu , Agathe Guilloux , Cécile Proust-Lima , Hélène Jacqmin-Gadda

The hazard function is central to the formulation of commonly used survival regression models such as the proportional hazards and accelerated failure time models. However, these models rely on a shared baseline hazard, which, when…

统计方法学 · 统计学 2025-12-19 J. A. Christen , F. J. Rubio

In survival analysis, estimating the conditional survival function given predictors is often of interest. There is a growing trend in the development of deep learning methods for analyzing censored time-to-event data, especially when…

机器学习 · 统计学 2025-03-13 Sehwan Kim , Rui Wang , Wenbin Lu

Neural networks inspired by differential equations have proliferated for the past several years. Neural ordinary differential equations (NODEs) and neural controlled differential equations (NCDEs) are two representative examples of them. In…

机器学习 · 计算机科学 2021-11-17 Sheo Yon Jhin , Heejoo Shin , Seoyoung Hong , Solhee Park , Noseong Park

Interval censored data commonly arise in medical studies when the event time of interest is only known to lie within an interval. In the presence of a cure subgroup, conventional mixture cure models typically assume a logistic model for the…

统计方法学 · 统计学 2026-01-21 Xiaoru Huang , Tonghui Yu , Xiaoyu Liu

Survival analysis is a fundamental area of focus in biomedical research, particularly in the context of personalized medicine. This prominence is due to the increasing prevalence of large and high-dimensional datasets, such as omics and…

机器学习 · 统计学 2024-08-23 Carlos García Meixide , Marcos Matabuena , Louis Abraham , Michael R. Kosorok

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

Through Alzheimer's Disease Neuroimaging Initiative (ADNI), time-to-event data: from the pre-dementia state of mild cognitive impairment (MCI) to the diagnosis of Alzheimer's disease (AD), is collected and analyzed by explicitly unraveling…

应用统计 · 统计学 2022-11-30 Shuting Liao , Fushing Hsieh

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

机器学习 · 计算机科学 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

Time series with non-uniform intervals occur in many applications, and are difficult to model using standard recurrent neural networks (RNNs). We generalize RNNs to have continuous-time hidden dynamics defined by ordinary differential…

机器学习 · 计算机科学 2019-07-10 Yulia Rubanova , Ricky T. Q. Chen , David Duvenaud

Interval-censored data analysis is important in biomedical statistics for any type of time-to-event response where the time of response is not known exactly, but rather only known to occur between two assessment times. Many clinical trials…

统计方法学 · 统计学 2019-06-12 Weichi Yao , Halina Frydman , Jeffrey S. Simonoff

Dynamical systems, prevalent in various scientific and engineering domains, are susceptible to anomalies that can significantly impact their performance and reliability. This paper addresses the critical challenges of anomaly detection,…

机器学习 · 计算机科学 2025-07-18 Yue Sun , Rick S. Blum , Parv Venkitasubramaniam

Hazard functions play a central role in survival analysis, providing insight into the underlying risk dynamics of time-to-event data, with broad applications in medicine, epidemiology, and related fields. First-order ordinary differential…

应用统计 · 统计学 2026-04-02 Dananjani Liyanage , Mahmudul Bari Hridoy , Fahad Mostafa

We explore in detail a method to solve ordinary differential equations using feedforward neural networks. We prove a specific loss function, which does not require knowledge of the exact solution, to be a suitable standard metric to…

计算物理 · 物理学 2020-06-02 Liam L. H. Lau , Denis Werth

An iris presentation attack detection (IPAD) is essential for securing personal identity is widely used iris recognition systems. However, the existing IPAD algorithms do not generalize well to unseen and cross-domain scenarios because of…

计算机视觉与模式识别 · 计算机科学 2021-11-02 Gaurav Jaswal , Aman Verma , Sumantra Dutta Roy , Raghavendra Ramachandra
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