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Classification with a sparsity constraint on the solution plays a central role in many high dimensional machine learning applications. In some cases, the features can be grouped together so that entire subsets of features can be selected or…

Machine Learning · Computer Science 2014-09-05 Nikhil Rao , Robert Nowak , Christopher Cox , Timothy Rogers

Instance-wise feature selection and ranking methods can achieve a good selection of task-friendly features for each sample in the context of neural networks. However, existing approaches that assume feature subsets to be independent are…

Machine Learning · Computer Science 2023-08-02 Hanyu Peng , Guanhua Fang , Ping Li

Natural language understanding (NLU) models tend to rely on spurious correlations (i.e., dataset bias) to achieve high performance on in-distribution datasets but poor performance on out-of-distribution ones. Most of the existing debiasing…

Computation and Language · Computer Science 2022-09-14 Shihan Dou , Rui Zheng , Ting Wu , SongYang Gao , Junjie Shan , Qi Zhang , Yueming Wu , Xuanjing Huang

Feature selection methods have an important role on the readability of data and the reduction of complexity of learning algorithms. In recent years, a variety of efforts are investigated on feature selection problems based on unsupervised…

Machine Learning · Computer Science 2019-12-12 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

Feature selection is a crucial step in machine learning, especially for high-dimensional datasets, where irrelevant and redundant features can degrade model performance and increase computational costs. This paper proposes a novel…

Neural and Evolutionary Computing · Computer Science 2024-10-30 Azam Asilian Bidgoli , Shahryar Rahnamayan

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

Data Structures and Algorithms · Computer Science 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi

Medical imaging involves high-dimensional data, yet their acquisition is obtained for limited samples. Multivariate predictive models have become popular in the last decades to fit some external variables from imaging data, and standard…

Applications · Statistics 2018-06-18 Jérôme-Alexis Chevalier , Joseph Salmon , Bertrand Thirion

Feature selection is important in data representation and intelligent diagnosis. Elastic net is one of the most widely used feature selectors. However, the features selected are dependant on the training data, and their weights dedicated…

Machine Learning · Computer Science 2021-01-01 Shaode Yu , Haobo Chen , Hang Yu , Zhicheng Zhang , Xiaokun Liang , Wenjian Qin , Yaoqin Xie , Ping Shi

We propose the variable selection procedure incorporating prior constraint information into lasso. The proposed procedure combines the sample and prior information, and selects significant variables for responses in a narrower region where…

Methodology · Statistics 2011-02-19 Shurong Zheng , Guodong Song , Ning-Zhong Shi

Sparse regression is frequently employed in diverse scientific settings as a feature selection method. A pervasive aspect of scientific data that hampers both feature selection and estimation is the presence of strong correlations between…

Methodology · Statistics 2021-03-25 Ankit Kumar , Sharmodeep Bhattacharyya , Kristofer Bouchard

Sparse linear models are one of several core tools for interpretable machine learning, a field of emerging importance as predictive models permeate decision-making in many domains. Unfortunately, sparse linear models are far less flexible…

Machine Learning · Statistics 2024-01-03 Ryan Thompson , Amir Dezfouli , Robert Kohn

The graph fused lasso -- which includes as a special case the one-dimensional fused lasso -- is widely used to reconstruct signals that are piecewise constant on a graph, meaning that nodes connected by an edge tend to have identical…

Methodology · Statistics 2022-02-11 Yiqun T. Chen , Sean W. Jewell , Daniela M. Witten

Along with the flourish of the information age, massive amounts of data are generated day by day. Due to the large-scale and high-dimensional characteristics of these data, it is often difficult to achieve better decision-making in…

Machine Learning · Computer Science 2023-04-04 Peican Zhu , Xin Hou , Keke Tang , Zhen Wang , Feiping Nie

Advances in machine learning technologies have led to increasingly powerful models in particular in the context of big data. Yet, many application scenarios demand for robustly interpretable models rather than optimum model accuracy; as an…

Machine Learning · Computer Science 2020-05-07 Lukas Pfannschmidt , Jonathan Jakob , Fabian Hinder , Michael Biehl , Peter Tino , Barbara Hammer

The feature frame is a key idea of feature matching problem between two images. However, most of the traditional matching methods only simply employ the spatial location information (the coordinates), which ignores the shape and orientation…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Liang Shen , Jiahua Zhu , Chongyi Fan , Xiaotao Huang , Tian Jin

We consider the problem of matrix completion with side information (\textit{inductive matrix completion}). In real-world applications many side-channel features are typically non-informative making feature selection an important part of the…

Machine Learning · Statistics 2018-10-09 Ivan Nazarov , Boris Shirokikh , Maria Burkina , Gennady Fedonin , Maxim Panov

This paper provides a statistical analysis of high-dimensional batch Reinforcement Learning (RL) using sparse linear function approximation. When there is a large number of candidate features, our result sheds light on the fact that…

Machine Learning · Computer Science 2020-11-10 Botao Hao , Yaqi Duan , Tor Lattimore , Csaba Szepesvári , Mengdi Wang

Feature Selection is a crucial procedure in Data Science tasks such as Classification, since it identifies the relevant variables, making thus the classification procedures more interpretable, cheaper in terms of measurement and more…

Machine Learning · Statistics 2024-01-17 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

The goal of feature selection is to choose the optimal subset of features for a recognition task by evaluating the importance of each feature, thereby achieving effective dimensionality reduction. Currently, proposed feature selection…

Machine Learning · Computer Science 2024-02-27 Zhenxing Zhang , Jun Ge , Zheng Wei , Chunjie Zhou , Yilei Wang

We study the theoretical properties of the fused lasso procedure originally proposed by \cite{tibshirani2005sparsity} in the context of a linear regression model in which the regression coefficient are totally ordered and assumed to be…

Statistics Theory · Mathematics 2023-06-28 Fan Wang , Oscar Hernan Madrid Padilla , Yi Yu , Alessandro Rinaldo
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