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Variable selection in relation to regression modeling has constituted a methodological problem for more than 60 years. Especially in the context of high-dimensional regression, developing stable and reliable methods, algorithms, and…

统计方法学 · 统计学 2024-04-04 Charlotte Castel , Zhi Zhao , Magne Thoresen

For some special data in reality, such as the genetic data, adjacent genes may have the similar function. Thus ensuring the smoothness between adjacent genes is highly necessary. But, in this case, the standard lasso penalty just doesn't…

统计方法学 · 统计学 2022-09-29 Xin Xin , Boyi Xie , Yunhai Xiao

Categorical regressor variables are usually handled by introducing a set of indicator variables, and imposing a linear constraint to ensure identifiability in the presence of an intercept, or equivalently, using one of various coding…

统计计算 · 统计学 2018-05-21 Felicitas J. Detmer , Martin Slawski

In life sciences, the experts generally use empirical knowledge to recode variables, choose interactions and perform selection by classical approach. The aim of this work is to perform automatic learning algorithm for variables selection…

机器学习 · 统计学 2015-11-05 Bienvenue Kouwayè , Noël Fonton , Fabrice Rossi

To date, the instability of prognostic predictors in a sparse high dimensional model, which hinders their clinical adoption, has received little attention. Stable prediction is often overlooked in favour of performance. Yet, stability…

机器学习 · 统计学 2016-09-29 Shivapratap Gopakumar , Truyen Tran , Dinh Phung , Svetha Venkatesh

Variable (feature, gene, model, which we use interchangeably) selections for regression with high-dimensional BIGDATA have found many applications in bioinformatics, computational biology, image processing, and engineering. One appealing…

机器学习 · 计算机科学 2014-07-29 Zhenqiu Liu , Gang Li

High resolution microarrays and second-generation sequencing platforms are powerful tools to investigate genome-wide alterations in DNA copy number, methylation and gene expression associated with a disease. An integrated genomic profiling…

应用统计 · 统计学 2013-04-22 Ronglai Shen , Sijian Wang , Qianxing Mo

The Lasso is a prominent algorithm for variable selection. However, its instability in the presence of correlated variables in the high-dimensional setting is well-documented. Although previous research has attempted to address this issue…

统计方法学 · 统计学 2025-05-28 Mahdi Nouraie , Connor Smith , Samuel Muller

Large-scale {\it in vitro} drug sensitivity screens are an important tool in personalized oncology to predict the effectiveness of potential cancer drugs. The prediction of the sensitivity of cancer cell lines to a panel of drugs is a…

统计方法学 · 统计学 2020-03-10 Zhi Zhao , Manuela Zucknick

The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by…

统计方法学 · 统计学 2026-01-15 Ha Nguyen , Sumanta Basu

While graphical models for continuous data (Gaussian graphical models) and discrete data (Ising models) have been extensively studied, there is little work on graphical models linking both continuous and discrete variables (mixed data),…

机器学习 · 统计学 2016-08-22 Jie Cheng , Tianxi Li , Elizaveta Levina , Ji Zhu

We propose a new approach to safe variable preselection in high-dimensional penalized regression, such as the lasso. Preselection - to start with a manageable set of covariates - has often been implemented without clear appreciation of its…

Least absolute shrinkage and selection operator (Lasso), a popular method for high-dimensional regression, is now used widely for estimating high-dimensional time series models such as the vector autoregression (VAR). Selecting its tuning…

统计方法学 · 统计学 2025-12-16 Tathagata Sadhukhan , Ines Wilms , Stephan Smeekes , Sumanta Basu

We propose a novel approach to elicit the weight of a potentially non-stationary regressor in the consistent and oracle-efficient estimation of autoregressive models using the adaptive Lasso. The enhanced weight builds on a statistic that…

统计方法学 · 统计学 2024-07-23 Thilo Reinschlüssel , Martin C. Arnold

The lasso and related sparsity inducing algorithms have been the target of substantial theoretical and applied research. Correspondingly, many results are known about their behavior for a fixed or optimally chosen tuning parameter specified…

统计理论 · 数学 2016-06-23 Darren Homrighausen , Daniel J. McDonald

The graphical lasso is a widely used algorithm for fitting undirected Gaussian graphical models. However, for inference on functionals of edge values in the learned graph, standard tools lack formal statistical guarantees, such as control…

统计方法学 · 统计学 2025-04-01 Sofia Guglielmini , Gerda Claeskens , Snigdha Panigrahi

A conditional independence graph is a concise representation of pairwise conditional independence among many variables. Graphical Random Forests (GRaFo) are a novel method for estimating pairwise conditional independence relationships among…

统计方法学 · 统计学 2013-04-08 Bernd Fellinghauer , Peter Bühlmann , Martin Ryffel , Michael von Rhein , Jan D. Reinhardt

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

机器学习 · 统计学 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

High-dimensional predictive models, those with more measurements than observations, require regularization to be well defined, perform well empirically, and possess theoretical guarantees. The amount of regularization, often determined by…

统计方法学 · 统计学 2019-07-16 Darren Homrighausen , Daniel J. McDonald

We consider the task of estimating a Gaussian graphical model in the high-dimensional setting. The graphical lasso, which involves maximizing the Gaussian log likelihood subject to an l1 penalty, is a well-studied approach for this task. We…

机器学习 · 统计学 2013-07-23 Kean Ming Tan , Daniela Witten , Ali Shojaie