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The Lasso has been widely used as a method for variable selection, valued for its simplicity and empirical performance. However, Lasso's selection stability deteriorates in the presence of correlated predictors. Several approaches have been…

Methodology · Statistics 2025-11-05 Mahdi Nouraie , Houying Zhu , Samuel Muller

In our paper, we focus on robust variable selection for missing data and measurement error. Missing data and measurement errors can lead to confusing data distribution. We propose an exponential loss function with a tuning parameter to…

Methodology · Statistics 2025-07-01 Zhenhao Zhang , Yunquan Song

Variable selection in high-dimensional space characterizes many contemporary problems in scientific discovery and decision making. Many frequently-used techniques are based on independence screening; examples include correlation ranking…

Methodology · Statistics 2008-12-18 Jianqing Fan , Richard Samworth , Yichao Wu

Modern deep learning continues to achieve outstanding performance on an astounding variety of high-dimensional tasks. In practice, this is obtained by fitting deep neural models to all the input data with minimal feature engineering, thus…

Neural and Evolutionary Computing · Computer Science 2024-08-21 Yelleti Vivek , Sri Krishna Vadlamani , Vadlamani Ravi , P. Radha Krishna

In the context of variable selection, ensemble learning has gained increasing interest due to its great potential to improve selection accuracy and to reduce false discovery rate. A novel ordering-based selective ensemble learning strategy…

Machine Learning · Statistics 2017-04-28 Chunxia Zhang , Yilei Wu , Mu Zhu

Latent variable models are widely used in social and behavioural sciences, including education, psychology, and political science. With the increasing availability of large and complex datasets, high-dimensional latent variable models have…

Computation · Statistics 2025-12-09 Motonori Oka , Yunxiao Chen , Irini Moustaki

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

Boosting techniques from the field of statistical learning have grown to be a popular tool for estimating and selecting predictor effects in various regression models and can roughly be separated in two general approaches, namely gradient…

Methodology · Statistics 2019-12-16 Colin Griesbach , Andreas Groll , Elisabeth Waldmann

Addressing the simultaneous identification of contributory variables while controlling the false discovery rate (FDR) in high-dimensional data is a crucial statistical challenge. In this paper, we propose a novel model-free variable…

Methodology · Statistics 2024-04-23 Yixin Han , Xu Guo , Changliang Zou

We consider the task of discovering gene regulatory networks, which are defined as sets of genes and the corresponding transcription factors which regulate their expression levels. This can be viewed as a variable selection problem,…

Methodology · Statistics 2014-12-04 Justin Bleich , Adam Kapelner , Edward I. George , Shane T. Jensen

High-dimensional time series datasets are becoming increasingly common in many areas of biological and social sciences. Some important applications include gene regulatory network reconstruction using time course gene expression data, brain…

Methodology · Statistics 2021-08-02 Sumanta Basu , David S. Matteson

Variable selection in linear regression settings is a much discussed problem. Best subset selection (BSS) is often considered the intuitive 'gold standard', with its use being restricted only by its NP-hard nature. Alternatives such as the…

Methodology · Statistics 2023-02-24 Moritz Hanke , Louis Dijkstra , Ronja Foraita , Vanessa Didelez

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

Accurate illness diagnosis is vital for effective treatment and patient safety. Machine learning models are widely used for cancer diagnosis based on historical medical data. However, data imbalance remains a major challenge, leading to…

Machine Learning · Computer Science 2025-03-18 Soufiane Bacha , Huansheng Ning , Belarbi Mostefa , Doreen Sebastian Sarwatt , Sahraoui Dhelim

Variable screening is a fast dimension reduction technique for assisting high dimensional feature selection. As a preselection method, it selects a moderate size subset of candidate variables for further refining via feature selection to…

Statistics Theory · Mathematics 2015-06-09 Xiangyu Wang , Chenlei Leng , David B. Dunson

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Principal component analysis continues to be a powerful tool in dimension reduction of high dimensional data. We assume a variance-diverging model and use the high-dimension, low-sample-size asymptotics to show that even though the…

Statistics Theory · Mathematics 2020-09-28 Sungkyu Jung

Relevant methods of variable selection have been proposed in model-based clustering and classification. These methods are making use of backward or forward procedures to define the roles of the variables. Unfortunately, these stepwise…

Computation · Statistics 2017-05-03 Gilles Celeux , Cathy Maugis-Rabusseau , Mohammed Sedki

The identification of the dependent components in multiple data sets is a fundamental problem in many practical applications. The challenge in these applications is that often the data sets are high-dimensional with few observations or…

Methodology · Statistics 2023-06-02 Martin Gölz , Tanuj Hasija , Michael Muma , Abdelhak M. Zoubir

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm
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