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Accurately predicting the time of occurrence of an event of interest is a critical problem in longitudinal data analysis. One of the main challenges in this context is the presence of instances whose event outcomes become unobservable after…

Machine Learning · Computer Science 2017-12-26 Ping Wang , Yan Li , Chandan K. Reddy

Nonparametric and semiparametric methods are commonly used in survival analysis to mitigate the bias due to model misspecification. However, such methods often cannot estimate upper-tail survival quantiles when a sizable proportion of the…

Methodology · Statistics 2019-07-19 Yifan Wang , Tian You , Martin Lysy

In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

Methodology · Statistics 2024-12-02 Masahiro Tanaka

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

Methodology · Statistics 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

This paper considers doing quantile regression on censored data using neural networks (NNs). This adds to the survival analysis toolkit by allowing direct prediction of the target variable, along with a distribution-free characterisation of…

Machine Learning · Statistics 2023-02-07 Tim Pearce , Jong-Hyeon Jeong , Yichen Jia , Jun Zhu

In this paper, a competing risks model is analyzed based on improved adaptive type-II progressive censored sample (IAT-II PCS). Two independent competing causes of failures are considered. It is assumed that lifetimes of the competing…

Methodology · Statistics 2023-02-20 Subhankar Dutta , Suchandan Kayal

In the context of right-censored data, we study the problem of predicting the restricted time to event based on a set of covariates. Under a quadratic loss, this problem is equivalent to estimating the conditional Restricted Mean Survival…

Statistics Theory · Mathematics 2024-04-29 Ariane Cwiling , Vittorio Perduca , Olivier Bouaziz

A core challenge in survival analysis is to model the distribution of censored time-to-event data, where the event of interest may be a death, failure, or occurrence of a specific event. Previous studies have showed that ranking and maximum…

Machine Learning · Computer Science 2025-01-27 Liwen Zhang , Lianzhen Zhong , Fan Yang , Di Dong , Hui Hui , Jie Tian

In recent years, cancer clinical trials have increasingly encountered non proportional hazards (NPH) scenarios, particularly with the emergence of immunotherapy. In randomized controlled trials comparing immunotherapy with conventional…

Applications · Statistics 2025-02-28 Takuto Iijima , Tomotaka Momozaki , Shuji Ando

In many fields of study, we only observe lower bounds on the true response value of some experiments. When fitting a regression model to predict the distribution of the outcomes, we cannot simply drop these right-censored observations, but…

Artificial Intelligence · Computer Science 2020-09-30 Katharina Eggensperger , Kai Haase , Philipp Müller , Marius Lindauer , Frank Hutter

Survival regression is used to estimate the relation between time-to-event and feature variables, and is important in application domains such as medicine, marketing, risk management and sales management. Nonlinear tree based machine…

Machine Learning · Computer Science 2021-08-24 Avinash Barnwal , Hyunsu Cho , Toby Dylan Hocking

We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

Methodology · Statistics 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray

We propose a Bayesian method for deriving the distribution of restricted mean survival time (RMST) using posterior samples, which accounts for covariates and heterogeneity among clusters based on a parametric model for survival time. We…

Methodology · Statistics 2024-06-12 Keisuke Hanada , Masahiro Kojima

The standard regression tree method applied to observations within clusters poses both methodological and implementation challenges. Effectively leveraging these data requires methods that account for both individual-level and sample-level…

Methodology · Statistics 2025-03-05 Jeremiah Allis , Xin Jin , Riddhi Ghosh

We develop a unified approach for classification and regression support vector machines for data subject to right censoring. We provide finite sample bounds on the generalization error of the algorithm, prove risk consistency for a wide…

Machine Learning · Statistics 2013-01-15 Yair Goldberg , Michael R. Kosorok

Uncertainty quantification is central to many applications of causal machine learning, yet principled Bayesian inference for causal effects remains challenging. Standard Bayesian approaches typically require specifying a probabilistic model…

Machine Learning · Statistics 2026-03-04 Emil Javurek , Dennis Frauen , Yuxin Wang , Stefan Feuerriegel

Model information can be used to predict future trajectories, so it has huge potential to avoid dangerous region when implementing reinforcement learning (RL) on real-world tasks, like autonomous driving. However, existing studies mostly…

Robotics · Computer Science 2021-03-08 Haitong Ma , Jianyu Chen , Shengbo Eben Li , Ziyu Lin , Yang Guan , Yangang Ren , Sifa Zheng

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

We present a method for incorporating missing data in non-parametric statistical learning without the need for imputation. We focus on a tree-based method, Bayesian Additive Regression Trees (BART), enhanced with "Missingness Incorporated…

Machine Learning · Statistics 2014-02-14 Adam Kapelner , Justin Bleich

We develop a semiparametric framework for inference on the mean response in missing-data settings using a corrected posterior distribution. Our approach is tailored to Bayesian Additive Regression Trees (BART), which is a powerful…

Methodology · Statistics 2025-10-21 Christoph Breunig , Ruixuan Liu , Zhengfei Yu
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