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Variable selection methods have been developed in linear regression to provide sparse solutions. Recent studies have focused on further interpretations on the sparse solutions in terms of false positive control. In this paper, we consider…

Statistics Theory · Mathematics 2019-11-25 X. Jessie Jeng , Xiongzhi Chen

Time-to-event analysis, also known as survival analysis, aims to predict the time of occurrence of an event, given a set of features. One of the major challenges in this area is dealing with censored data, which can make learning algorithms…

Machine Learning · Computer Science 2023-07-25 Hyunjun Lee , Junhyun Lee , Taehwa Choi , Jaewoo Kang , Sangbum Choi

The tuning parameter selection strategy for penalized estimation is crucial to identify a model that is both interpretable and predictive. However, popular strategies (e.g., minimizing average squared prediction error via cross-validation)…

Methodology · Statistics 2022-11-10 Julia Holter , Jonathan Stallrich

The Support Vector Machine (SVM) is a popular classification paradigm in machine learning and has achieved great success in real applications. However, the standard SVM can not select variables automatically and therefore its solution…

Methodology · Statistics 2008-12-18 Hao Helen Zhang , Yufeng Liu , Yichao Wu , Ji Zhu

Heavy-tailed high-dimensional data are commonly encountered in various scientific fields and pose great challenges to modern statistical analysis. A natural procedure to address this problem is to use penalized quantile regression with…

Statistics Theory · Mathematics 2015-03-20 Jianqing Fan , Yingying Fan , Emre Barut

For complex diseases, beyond the main effects of genetic (G) and environmental (E) factors, gene-environment (G-E) interactions also play an important role. Many of the existing G-E interaction methods conduct marginal analysis, which may…

Methodology · Statistics 2020-03-06 Qingzhao Zhang , Hao Chai , Shuangge Ma

Penalized generalized estimating equations with Elastic Net or L2-Smoothly Clipped Absolute Deviation penalization are proposed to simultaneously select the most important variables and estimate their effects for longitudinal Gaussian data…

Methodology · Statistics 2012-11-26 Adriaan Blommaert , Niel Hens , Philippe Beutels

There is a set of data augmentation techniques that ablate parts of the input at random. These include input dropout, cutout, and random erasing. We term these techniques ablated data augmentation. Though these techniques seems similar in…

Machine Learning · Computer Science 2020-06-09 Frederick Liu , Amir Najmi , Mukund Sundararajan

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

High-dimensional sparse modeling with censored survival data is of great practical importance, as exemplified by modern applications in high-throughput genomic data analysis and credit risk analysis. In this article, we propose a class of…

Methodology · Statistics 2014-03-19 Wei Lin , Jinchi Lv

Variable selection for structured covariates lying on an underlying known graph is a problem motivated by practical applications, and has been a topic of increasing interest. However, most of the existing methods may not be scalable to high…

Methodology · Statistics 2016-04-27 Changgee Chang , Suprateek Kundu , Qi Long

The proportional hazards (PH) and accelerated failure time (AFT) models are the most widely used hazard structures for analysing time-to-event data. When the goal is to identify variables associated with event times, variable selection is…

Methodology · Statistics 2026-02-04 Yulong Chen , Jim Griffin , Francisco Javier Rubio

We propose a method for adaptive nonlinear sequential modeling of vector-time series data. Data is modeled as a nonlinear function of past values corrupted by noise, and the underlying non-linear function is assumed to be approximately…

Methodology · Statistics 2017-10-11 Qiuyi Han , Jie Ding , Edoardo Airoldi , Vahid Tarokh

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

Fine-tuning is widely applied in image classification tasks as a transfer learning approach. It re-uses the knowledge from a source task to learn and obtain a high performance in target tasks. Fine-tuning is able to alleviate the challenge…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Xuyang Shen , Jo Plested , Sabrina Caldwell , Yiran Zhong , Tom Gedeon

Uncertainty quantification of prediction models through prediction sets is increasingly popular and successful, but most existing methods rely on directly observing the outcome and do not appropriately handle censored outcomes, such as…

Methodology · Statistics 2025-05-06 Wenwen Si , Hongxiang Qiu

Competing risks data refer to situations where the occurrence of one event pre- cludes the possibility of other events happening, resulting in multiple mutually exclusive events. This data type is commonly encountered in medical research…

Methodology · Statistics 2025-10-21 Fatemeh Mahmoudi , Chenxi Li , Kaida Cai , Xuewen Lu

This paper aims to build an estimate of an unknown density of the data with measurement error as a linear combination of functions from a dictionary. Inspired by the penalization approach, we propose the weighted Elastic-net penalized…

Statistics Theory · Mathematics 2020-07-07 Xiaowei Yang , Huiming Zhang , Haoyu Wei , Shouzheng Zhang

Survival analysis is complicated by censored data, high-dimensional features, and non-linear interactions. Classical models offer interpretability and superior calibration but are restricted to linear or predefined functional forms, while…

Machine Learning · Computer Science 2026-05-19 Mohammad Ashhad , Robert Hoehndorf , Ricardo Henao

In some supervised learning settings, the practitioner might have additional information on the features used for prediction. We propose a new method which leverages this additional information for better prediction. The method, which we…

Methodology · Statistics 2020-06-03 J. Kenneth Tay , Nima Aghaeepour , Trevor Hastie , Robert Tibshirani