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The dual problem of testing the predictive significance of a particular covariate, and identification of the set of relevant covariates is common in applied research and methodological investigations. To study this problem in the context of…

统计理论 · 数学 2015-06-11 Julian A. A. Collazos , Adriano Z. Zambom

Variable selection for Gaussian process models is often done using automatic relevance determination, which uses the inverse length-scale parameter of each input variable as a proxy for variable relevance. This implicitly determined…

统计方法学 · 统计学 2019-04-24 Topi Paananen , Juho Piironen , Michael Riis Andersen , Aki Vehtari

Varying coefficient models have numerous applications in a wide scope of scientific areas. While enjoying nice interpretability, they also allow flexibility in modeling dynamic impacts of the covariates. But, in the new era of big data, it…

统计方法学 · 统计学 2014-10-27 Ming-Yen Cheng , Toshio Honda , Jin-Ting Zhang

In this paper, we present a new variable selection method for regression and classification purposes. Our method, called Subsampling Ranking Forward selection (SuRF), is based on LASSO penalised regression, subsampling and forward-selection…

统计方法学 · 统计学 2021-05-25 Lihui Liu , Hong Gu , Johan Van Limbergen , Toby Kenney

In the field of big data analytics, the search for efficient subdata selection methods that enable robust statistical inferences with minimal computational resources is of high importance. A procedure prior to subdata selection could…

统计方法学 · 统计学 2024-11-12 Vasilis Chasiotis , Lin Wang , Dimitris Karlis

Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

统计方法学 · 统计学 2017-02-09 Hongmei Liu , J. Sunil Rao

In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

统计方法学 · 统计学 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun

Probabilistic programming methods have revolutionised Bayesian inference, making it easier than ever for practitioners to perform Markov-chain-Monte-Carlo sampling from non-conjugate posterior distributions. Here we focus on Stan, arguably…

统计计算 · 统计学 2025-02-10 Clemens Pichler , Jack Jewson , Alejandra Avalos-Pacheco

Sparse linear prediction methods suffer from decreased prediction accuracy when the predictor variables have cluster structure (e.g. there are highly correlated groups of variables). To improve prediction accuracy, various methods have been…

机器学习 · 统计学 2022-02-03 Rebecca Marion , Johannes Lederer , Bernadette Govaerts , Rainer von Sachs

The selection of essential variables in logistic regression is vital because of its extensive use in medical studies, finance, economics and related fields. In this paper, we explore four main typologies (test-based, penalty-based,…

统计方法学 · 统计学 2022-05-17 Souvik Bag , Kapil Gupta , Soudeep Deb

Motivation: Model selection is a ubiquitous challenge in statistics. For penalized models, model selection typically entails tuning hyperparameters to maximize a measure of fit or minimize out-of-sample prediction error. However, these…

统计方法学 · 统计学 2025-05-29 Priyam Das , Sarah Robinson , Christine B. Peterson

Automated variable selection is widely applied in statistical model development. Algorithms like forward, backward or stepwise selection are available in statistical software packages like R and SAS. Many researchers have criticized the use…

统计方法学 · 统计学 2023-06-19 Bernd Engelmann

We introduce a very general method for sparse and large-scale variable selection. The large-scale regression settings is such that both the number of parameters and the number of samples are extremely large. The proposed method is based on…

统计理论 · 数学 2019-07-31 Jelena Bradic

We propose a method for variable selection in discriminant analysis with mixed categorical and continuous variables. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating…

统计理论 · 数学 2017-03-14 Alban Mbina Mbina , Guy Martial Nkiet , Fulgence Eyi Obiang

Many natural language processing tasks, e.g., coreference resolution and semantic role labeling, require selecting text spans and making decisions about them. A typical approach to such tasks is to score all possible spans and greedily…

计算与语言 · 计算机科学 2023-08-24 Tianyu Liu , Yuchen Eleanor Jiang , Ryan Cotterell , Mrinmaya Sachan

As a typical dimensionality reduction technique, random projection can be simply implemented with linear projection, while maintaining the pairwise distances of high-dimensional data with high probability. Considering this technique is…

机器学习 · 计算机科学 2014-10-14 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

We consider the problem of model selection and estimation in sparse high dimensional linear regression models with strongly correlated variables. First, we study the theoretical properties of the dual Lasso solution, and we show that joint…

应用统计 · 统计学 2017-03-21 Niharika Gauraha

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

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

We propose an extensive simulation study to compare some variable selection procedures in a high-dimensional framework. Assuming that the relationship between the actives variables and the response variable is linear, the high-dimensional…

应用统计 · 统计学 2025-03-21 Perrine Lacroix , Mélina Gallopin , Marie-Laure Martin

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

统计计算 · 统计学 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas