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Current status data are commonly encountered in medical and epidemiological studies in which the failure time for study units is the outcome variable of interest. Data of this form are characterized by the fact that the failure time is not…

统计方法学 · 统计学 2019-04-25 Yan Liu , Minggen Lu , Christopher S. McMahan

This paper considers the problem of networks reconstruction from heterogeneous data using a Gaussian Graphical Mixture Model (GGMM). It is well known that parameter estimation in this context is challenging due to large numbers of variables…

机器学习 · 统计学 2013-10-08 Anani Lotsi , Ernst Wit

Graphical models are frequently used to explore networks, such as genetic networks, among a set of variables. This is usually carried out via exploring the sparsity of the precision matrix of the variables under consideration. Penalized…

应用统计 · 统计学 2009-08-17 Jianqing Fan , Yang Feng , Yichao Wu

We introduce GAMSEL (Generalized Additive Model Selection), a penalized likelihood approach for fitting sparse generalized additive models in high dimension. Our method interpolates between null, linear and additive models by allowing the…

机器学习 · 统计学 2015-06-18 Alexandra Chouldechova , Trevor Hastie

Survival analysis can sometimes involve individuals who will not experience the event of interest, forming what is known as the cured group. Identifying such individuals is not always possible beforehand, as they provide only right-censored…

统计方法学 · 统计学 2024-01-03 Jinqing Li , Jun Ma

There are proposals that extend the classical generalized additive models (GAMs) to accommodate high-dimensional data ($p>>n$) using group sparse regularization. However, the sparse regularization may induce excess shrinkage when estimating…

统计方法学 · 统计学 2022-07-07 Boyi Guo , Byron C. Jaeger , A. K. M. Fazlur Rahman , D. Leann Long , Nengjun Yi

Penalized likelihood approaches are widely used for high-dimensional regression. Although many methods have been proposed and the associated theory is now well-developed, the relative efficacy of different approaches in finite-sample…

统计方法学 · 统计学 2020-01-29 Fan Wang , Sach Mukherjee , Sylvia Richardson , Steven M. Hill

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

统计方法学 · 统计学 2023-09-13 Chan Park , Hyunseung Kang

Estimation in generalized linear models (GLM) is complicated by the presence of constraints. One can handle constraints by maximizing a penalized log-likelihood. Penalties such as the lasso are effective in high dimensions, but often lead…

机器学习 · 统计学 2017-11-07 Jason Xu , Eric C. Chi , Kenneth Lange

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

统计理论 · 数学 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

Many experiments in medicine and ecology can be conveniently modeled by finite Gaussian mixtures but face the problem of dealing with small data sets. We propose a robust version of the estimator based on self-regression and sparsity…

统计计算 · 统计学 2014-10-09 Stephane Chretien

Variable selection is an old and pervasive problem in regression analysis. One solution is to impose a lasso penalty to shrink parameter estimates toward zero and perform continuous model selection. The lasso-penalized mixture of linear…

应用统计 · 统计学 2016-05-04 Luke R. Lloyd-Jones , Hien D. Nguyen , Geoffrey J. McLachlan

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

统计方法学 · 统计学 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

Parametric nonlinear mixed effects models (NLMEs) are now widely used in biometrical studies, especially in pharmacokinetics research and HIV dynamics models, due to, among other aspects, the computational advances achieved during the last…

统计方法学 · 统计学 2012-02-03 Ana Arribas-Gil , Karine Bertin , Cristian Meza , Vincent Rivoirard

In this paper, a linear model with grouped explanatory variables is considered. The idea is to perform an automatic detection of different successive groups of the unknown coefficients under the assumption that the number of groups is of…

统计方法学 · 统计学 2019-05-22 Gabriela Ciuperca , Matus Maciak , Francois Wahl

We propose an $\ell_1$-penalized estimation procedure for high-dimensional linear mixed-effects models. The models are useful whenever there is a grouping structure among high-dimensional observations, i.e. for clustered data. We prove a…

统计方法学 · 统计学 2011-05-12 Jürg Schelldorfer , Peter Bühlmann , Sara van de Geer

A reciprocal LASSO (rLASSO) regularization employs a decreasing penalty function as opposed to conventional penalization approaches that use increasing penalties on the coefficients, leading to stronger parsimony and superior model…

统计方法学 · 统计学 2021-09-17 Himel Mallick , Rahim Alhamzawi , Erina Paul , Vladimir Svetnik

Statistical methods for identifying harmful chemicals in a correlated mixture often assume linearity in exposure-response relationships. Non-monotonic relationships are increasingly recognised (e.g., for endocrine-disrupting chemicals);…

应用统计 · 统计学 2020-11-11 Nina Lazarevic , Luke D. Knibbs , Peter D. Sly , Adrian G. Barnett

We develop a class of rules spanning the range between quadratic discriminant analysis and naive Bayes, through a path of sparse graphical models. A group lasso penalty is used to introduce shrinkage and encourage a similar pattern of…

机器学习 · 统计学 2016-10-20 Ya Le , Trevor Hastie

In this paper, we consider the problem of estimating multiple graphical models simultaneously using the fused lasso penalty, which encourages adjacent graphs to share similar structures. A motivating example is the analysis of brain…

机器学习 · 计算机科学 2014-01-03 Sen Yang , Zhaosong Lu , Xiaotong Shen , Peter Wonka , Jieping Ye