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We introduce the spike-and-slab group lasso (SSGL) for Bayesian estimation and variable selection in linear regression with grouped variables. We further extend the SSGL to sparse generalized additive models (GAMs), thereby introducing the…

Methodology · Statistics 2020-07-29 Ray Bai , Gemma E. Moran , Joseph Antonelli , Yong Chen , Mary R. Boland

Assessing the technical efficiency of a set of observations requires that the associated data composed of inputs and outputs are perfectly known. If this is not the case, then biased estimates will likely be obtained. Data Envelopment…

Methodology · Statistics 2021-04-21 Diogo Cunha Ferreira , Josè RUi Figueira , Salvatore Greco , Rui Marques

We propose the Bayesian adaptive Lasso (BaLasso) for variable selection and coefficient estimation in linear regression. The BaLasso is adaptive to the signal level by adopting different shrinkage for different coefficients. Furthermore, we…

Methodology · Statistics 2010-09-14 Chenlei Leng , Minh Ngoc Tran , David Nott

In this work, we developed a new Bayesian method for variable selection in function-on-scalar regression (FOSR). Our method uses a hierarchical Bayesian structure and latent variables to enable an adaptive covariate selection process for…

Methodology · Statistics 2026-03-31 Pedro Henrique T. O. Sousa , Camila P. E. de Souza , Ronaldo Dias

Evaluating the efficiency of organizations and branches within an organization is a challenging issue for managers. Evaluation criteria allow organizations to rank their internal units, identify their position concerning their competitors,…

Optimization and Control · Mathematics 2022-09-13 Vahid Kayvanfar , Hamed Baziyad , Shaya Sheikh , Frank Werner

Data Envelopment Analysis (DEA) is a nonparametric, data driven technique used to perform relative performance analysis among a group of comparable decision making units (DMUs). Efficiency is assessed by comparing input and output data for…

Optimization and Control · Mathematics 2020-07-15 Emma Stubington , Matthias Ehrgott , Omid Nohadani

With the emergence of high-throughput technologies, it is possible to measure large amounts of data relatively at low cost. Such situations arise in many fields from sciences to humanities, and variable selection may be of great help to…

Computation · Statistics 2021-08-17 Jung Nicolas , Frédéric Bertrand , Myriam Maumy-Bertrand

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

Automated model discovery of partial differential equations (PDEs) usually considers a single experiment or dataset to infer the underlying governing equations. In practice, experiments have inherent natural variability in parameters,…

Machine Learning · Statistics 2021-11-25 Georges Tod , Gert-Jan Both , Remy Kusters

The methods currently used to determine the scaling exponent of a complex dynamic process described by a time series are based on the numerical evaluation of variance. This means that all of them can be safely applied only to the case where…

Statistical Mechanics · Physics 2009-11-07 Nicola Scafetta , Paolo Grigolini

Variable selection is an important problem in statistics and machine learning. Copula Entropy (CE) is a mathematical concept for measuring statistical independence and has been applied to variable selection recently. In this paper we…

Methodology · Statistics 2022-09-07 Jian Ma

Sufficient numbers of Decision Making Units (DMUs) in comparison with the number of input and output variables has been a concern of using Data Envelopment Analysis (DEA) in the last three decades. There are several studies in the…

Optimization and Control · Mathematics 2015-03-17 Dariush Khezrimotlagh

We consider the problem of sparse variable selection in nonparametric additive models, with the prior knowledge of the structure among the covariates to encourage those variables within a group to be selected jointly. Previous works either…

Machine Learning · Computer Science 2012-06-22 Junming Yin , Xi Chen , Eric Xing

Data Envelopment Analysis (DEA) appears more than just an instrument of measurement. DEA models can be seen as a mathematical structure for democratic voicing within decisional contexts. Such an important aspect of DEA is enhanced through…

Computers and Society · Computer Science 2021-05-14 Amar Oukil

We present two sets of theoretical results on the grouped lasso with overlap of Jacob, Obozinski and Vert (2009) in the linear regression setting. This method allows for joint selection of predictors in sparse regression, allowing for…

Machine Learning · Statistics 2011-11-11 Daniel Percival

After selection with the Group LASSO (or generalized variants such as the overlapping, sparse, or standardized Group LASSO), inference for the selected parameters is unreliable in the absence of adjustments for selection bias. In the…

Methodology · Statistics 2022-08-16 Snigdha Panigrahi , Peter W. MacDonald , Daniel Kessler

In the analysis of survival outcome supplemented with both clinical information and high-dimensional gene expression data, use of the traditional Cox proportional hazards model (1972) fails to meet some emerging needs in biomedical…

Computation · Statistics 2018-02-26 Jean Claude Utazirubanda , Tomas Leon , Papa Ngom

We study the problem of variable selection in convex nonparametric least squares (CNLS). Whereas the least absolute shrinkage and selection operator (Lasso) is a popular technique for least squares, its variable selection performance is…

Methodology · Statistics 2025-10-31 Zhiqiang Liao , Zhaonan Qu

Incorporating feature selection into a classification or regression method often carries a number of advantages. In this paper we formalize feature selection specifically from a discriminative perspective of improving…

Machine Learning · Computer Science 2013-01-18 Tony S. Jebara , Tommi S. Jaakkola

We consider solution of stochastic storage problems through regression Monte Carlo (RMC) methods. Taking a statistical learning perspective, we develop the dynamic emulation algorithm (DEA) that unifies the different existing approaches in…

Computational Finance · Quantitative Finance 2018-04-02 Michael Ludkovski , Aditya Maheshwari