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When dealing with right-censored data, where some outcomes are missing due to a limited observation period, survival analysis -- known as time-to-event analysis -- focuses on predicting the time until an event of interest occurs. Multiple…

Machine Learning · Statistics 2024-10-23 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

In biomedical studies, we are often interested in the association between different types of covariates and the times to disease events. Because the relationship between the covariates and event times is often complex, standard survival…

Methodology · Statistics 2024-01-19 Hoi Min Ng , Kin Yau Wong

Selective prediction, where a model has the option to abstain from making a decision, is crucial for machine learning applications in which mistakes are costly. In this work, we focus on distributional regression and introduce a framework…

Statistics Theory · Mathematics 2025-04-01 Ahmed Zaoui , Clément Dombry

We propose a semiparametric framework for causal inference with right-censored survival outcomes and many weak invalid instruments, motivated by Mendelian randomization in biobank studies where classical methods may fail. We adopt an…

Methodology · Statistics 2025-10-06 Qiushi Bu , Wen Su , Xingqiu Zhao , Zhonghua Liu

In this paper, we considered the problem of dependent censoring models with a positive probability that the times of failure are equal. In this context, we proposed to consider the Marshall-Olkin type model and studied some properties of…

Statistics Theory · Mathematics 2023-09-08 Mikael Escobar-Bach , Salima Helali

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, data of this kind can be missing or subject to some upper and/or lower detection limits because of the restriction of…

In the presence of right-censored data with covariates, the conditional Kaplan-Meier estimator (also known as the Beran estimator) consistently estimates the conditional survival function of the random follow-up for the event of interest.…

Machine Learning · Statistics 2023-09-15 Mikael Escobar-Bach , Olivier Goudet

In prevalent cohort studies where subjects are recruited at a cross-section, the time to an event may be subject to length-biased sampling, with the observed data being either the forward recurrence time, or the backward recurrence time, or…

Statistics Theory · Mathematics 2019-04-05 Pourab Roy , Jason P. Fine , Michael R. Kosorok

Traditional hidden Markov models have been a useful tool to understand and model stochastic dynamic data; in the case of non-Gaussian data, models such as mixture of Gaussian hidden Markov models can be used. However, these suffer from the…

Machine Learning · Statistics 2023-05-16 Carlos Puerto-Santana , Concha Bielza , Pedro Larrañaga , Gustav Eje Henter

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…

Machine Learning · Statistics 2021-12-07 Weijing Tang , Jiaqi Ma , Qiaozhu Mei , Ji Zhu

Censoring is the central problem in survival analysis where either the time-to-event (for instance, death), or the time-tocensoring (such as loss of follow-up) is observed for each sample. The majority of existing machine learning-based…

Machine Learning · Statistics 2024-07-22 Weijia Zhang , Chun Kai Ling , Xuanhui Zhang

In supervised learning, the output variable to be predicted is often represented as a function, such as a spectrum or probability distribution. Despite its importance, functional output regression remains relatively unexplored. In this…

Machine Learning · Statistics 2025-03-19 Minoru Kusaba , Megumi Iwayama , Ryo Yoshida

Simulation models of complex dynamics in the natural and social sciences commonly lack a tractable likelihood function, rendering traditional likelihood-based statistical inference impossible. Recent advances in machine learning have…

Machine Learning · Statistics 2022-02-24 Joel Dyer , Patrick Cannon , Sebastian M Schmon

We propose a reinforcement learning method for estimating an optimal dynamic treatment regime for survival outcomes with dependent censoring. The estimator allows the failure time to be conditionally independent of censoring and dependent…

Methodology · Statistics 2022-05-13 Hunyong Cho , Shannon T. Holloway , David J. Couper , Michael R. Kosorok

This is a method for discrete event simulation specified by survival analysis. It presents a sequence of steps. First, hazard rates from survival analysis specify the rates of a set of counting processes. Second, those counting processes…

Computation · Statistics 2016-10-14 Andrew J. Dolgert

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

The kernel-based method has been successfully applied in linear system identification using stable kernel designs. From a Gaussian process perspective, it automatically provides probabilistic error bounds for the identified models from the…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mingzhou Yin , Roy S. Smith

Kernel-based modal statistical methods include mode estimation, regression, and clustering. Estimation accuracy of these methods depends on the kernel used as well as the bandwidth. We study effect of the selection of the kernel function to…

Machine Learning · Statistics 2023-04-21 Ryoya Yamasaki , Toshiyuki Tanaka

In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

The goal of this paper is to indicate a new method for constructing normal confidence intervals for the mean, when the data is coming from stochastic structures with possibly long memory, especially when the dependence structure is not…

Methodology · Statistics 2018-01-03 Martial Longla , Magda Peligrad