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This paper presents a model selection technique of estimation in semiparametric regression models of the type Y_i=\beta^{\prime}\underbarX_i+f(T_i)+W_i, i=1,...,n. The parametric and nonparametric components are estimated simultaneously by…

Statistics Theory · Mathematics 2007-06-13 Florentina Bunea

Advances in statistical learning theory present the opportunity to develop statistical models of quantum many-body systems exhibiting remarkable predictive power. The potential of such ``theory-thin'' approaches is illustrated with the…

Nuclear Theory · Physics 2008-11-26 John W. Clark , Haochen Li

Flexible estimation of the mean outcome under a treatment regimen (i.e., value function) is the key step toward personalized medicine. We define our target parameter as a conditional value function given a set of baseline covariates which…

Statistics Theory · Mathematics 2023-09-29 Ashkan Ertefaie , Luke Duttweiler , Brent A. Johnson , Mark J. van der Laan

Support vector machines (SVMs) appeared in the early nineties as optimal margin classifiers in the context of Vapnik's statistical learning theory. Since then SVMs have been successfully applied to real-world data analysis problems, often…

Statistics Theory · Mathematics 2016-08-16 Javier M. Moguerza , Alberto Muñoz

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

Survival prediction is a crucial task associated with cancer diagnosis and treatment planning. This paper presents a novel approach to survival prediction by harnessing comprehensive information from CT and PET scans, along with associated…

Image and Video Processing · Electrical Eng. & Systems 2024-10-01 Aiman Farooq , Deepak Mishra , Santanu Chaudhury

Survival analysis is a fundamental tool for modeling time-to-event data in healthcare, engineering, and finance, where censored observations pose significant challenges. While traditional methods like the Beran estimator offer nonparametric…

Machine Learning · Computer Science 2025-06-13 Andrei V. Konstantinov , Vlada A. Efremenko , Lev V. Utkin

Multivariant time series (MTS) data are usually incomplete in real scenarios, and imputing the incomplete MTS is practically important to facilitate various time series mining tasks. Recently, diffusion model-based MTS imputation methods…

Machine Learning · Computer Science 2024-05-24 S. Zhang , S. Wang , H. Miao , H. Chen , C. Fan , J. Zhang

A completely nonparametric method for the estimation of mixture cure models is proposed. A nonparametric estimator of the incidence is extensively studied and a nonparametric estimator of the latency is presented. These estimators, which…

Methodology · Statistics 2024-01-31 Ana López-Cheda , Ricardo Cao , M. Amalia Jácome , Ingrid Van Keilegom

The Support Vector Machine (SVM) of Vapnik (1998) has become widely established as one of the leading approaches to pattern recognition and machine learning. It expresses predictions in terms of a linear combination of kernel functions…

Machine Learning · Computer Science 2013-01-18 Christopher M. Bishop , Michael Tipping

Comparing the survival times among two groups is a common problem in time-to-event analysis, for example if one would like to understand whether one medical treatment is superior to another. In the standard survival analysis setting, there…

Methodology · Statistics 2023-07-07 Dennis Dobler , Eni Musta

We discuss a shift in perspective from traditional approaches to breast cancer risk prediction: modelling families rather than individuals as unit of analysis. By investigating the latent familial risk underlying breast cancer diagnoses, we…

Applications · Statistics 2025-08-25 Maria Veronica Vinattieri , Marco Bonetti , Kamila Czene

In a real-life setting, little is known regarding the effectiveness of statins for primary prevention among older adults, and analysis of observational data can add crucial information on the benefits of actual patterns of use. Latent class…

Methodology · Statistics 2023-10-18 Awa Diop , Caroline Sirois , Jason Robert Guertin , Denis Talbot

Nonparametric regression subject to convexity or concavity constraints is increasingly popular in economics, finance, operations research, machine learning, and statistics. However, the conventional convex regression based on the least…

Methodology · Statistics 2022-09-27 Zhiqiang Liao , Sheng Dai , Timo Kuosmanen

The support vector machine (SVM) is a supervised learning algorithm that finds a maximum-margin linear classifier, often after mapping the data to a high-dimensional feature space via the kernel trick. Recent work has demonstrated that in…

Machine Learning · Statistics 2026-04-16 Chiraag Kaushik , Andrew D. McRae , Mark A. Davenport , Vidya Muthukumar

Cure rate models are mostly used to study data arising from cancer clinical trials. Its use in the context of infectious diseases has not been explored well. In 2008, Tournoud and Ecochard first proposed a mechanistic formulation of cure…

Methodology · Statistics 2024-01-10 Suvra Pal

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

Machine Learning · Statistics 2018-06-29 Jonathan Mei , José M. F. Moura

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

Support matrix machine (SMM) is a successful supervised classification model for matrix-type samples. Unlike support vector machines, it employs low-rank regularization on the regression matrix to effectively capture the intrinsic structure…

Optimization and Control · Mathematics 2024-12-12 Can Wu , Dong-Hui Li , Defeng Sun

We propose completely nonparametric methodology to investigate location-scale modelling of two-component mixture cure models, where the responses of interest are only indirectly observable due to the presence of censoring and the presence…

Methodology · Statistics 2018-03-12 Justin Chown , Cedric Heuchenne , Ingrid Van Keilegom
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