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Feature selection is one of the most decisive tools in understanding data and machine learning models. Among other methods, sparsity induced by $L^{1}$ penalty is one of the simplest and best studied approaches to this problem. Although…

Machine Learning · Computer Science 2020-07-09 Andrii Trelin , Aleš Procházka

Feature selection with specific multivariate performance measures is the key to the success of many applications, such as image retrieval and text classification. The existing feature selection methods are usually designed for…

Machine Learning · Computer Science 2015-03-19 Qi Mao , Ivor W. Tsang

While deep neural networks have succeeded in several visual applications, such as object recognition, detection, and localization, by reaching very high classification accuracies, it is important to note that many real-world applications…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Yu-An Chung , Shao-Wen Yang , Hsuan-Tien Lin

There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

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 here introduce a novel classification approach adopted from the nonlinear model identification framework, which jointly addresses the feature selection and classifier design tasks. The classifier is constructed as a polynomial expansion…

Machine Learning · Computer Science 2016-07-29 Aida Brankovic , Alessandro Falsone , Maria Prandini , Luigi Piroddi

In the past decades, the rapid growth of computer and database technologies has led to the rapid growth of large-scale datasets. On the other hand, data mining applications with high dimensional datasets that require high speed and accuracy…

Machine Learning · Computer Science 2020-08-11 Mehrdad Rostami , Kamal Berahmand , Saman Forouzandeh

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

Although much progress has been made in classification with high-dimensional features \citep{Fan_Fan:2008, JGuo:2010, CaiSun:2014, PRXu:2014}, classification with ultrahigh-dimensional features, wherein the features much outnumber the…

Machine Learning · Statistics 2016-11-14 Yanming Li , Hyokyoung Hong , Jian Kang , Kevin He , Ji Zhu , Yi Li

Feature selection is an important part of building a machine learning model. By eliminating redundant or misleading features from data, the machine learning model can achieve better performance while reducing the demand on com-puting…

Machine Learning · Computer Science 2021-06-11 Song Tan , Xia He

Determining the most appropriate features for machine learning predictive models is challenging regarding performance and feature acquisition costs. In particular, global feature choice is limited given that some features will only benefit…

Machine Learning · Computer Science 2026-03-17 Gabriel Bernardino , Anders Jonsson , Patrick Clarysse , Nicolas Duchateau

We present an algorithm to approximate the solutions to variational problems where set of admissible functions consists of convex functions. The main motivator behind this numerical method is estimating solutions to Adverse Selection…

Optimization and Control · Mathematics 2008-03-07 Ivar Ekeland , Santiago Moreno

Traditionally, machine learning algorithms rely on the assumption that all features of a given dataset are available for free. However, there are many concerns such as monetary data collection costs, patient discomfort in medical…

Machine Learning · Computer Science 2019-07-02 Mohammad Kachuee , Kimmo Karkkainen , Orpaz Goldstein , Davina Zamanzadeh , Majid Sarrafzadeh

Local variable selection aims to test for the effect of covariates on an outcome within specific regions. We outline a challenge that arises in the presence of non-linear effects and model misspecification. Specifically, for common…

Methodology · Statistics 2024-08-02 David Rossell , Arnold Kisuk Kseung , Ignacio Saez , Michele Guindani

Feature selection methods are widely used to address the high computational overheads and curse of dimensionality in classifying high-dimensional data. Most conventional feature selection methods focus on handling homogeneous features,…

Machine Learning · Computer Science 2021-11-17 Xuyang Yan , Mrinmoy Sarkar , Biniam Gebru , Shabnam Nazmi , Abdollah Homaifar

One of the central issues of several machine learning applications on real data is the choice of the input features. Ideally, the designer should select only the relevant, non-redundant features to preserve the complete information…

Machine Learning · Computer Science 2023-03-28 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

Feature selection has been proven a powerful preprocessing step for high-dimensional data analysis. However, most state-of-the-art methods tend to overlook the structural correlation information between pairwise samples, which may…

Machine Learning · Computer Science 2019-07-02 Lu Bai , Lixin Cui , Yue Wang , Philip S. Yu , Edwin R. Hancock

We study adaptive mesh selection for the solution of systems of initial value problems. The goal is a rigorous theoretical analysis of potential advantages of adaption. For an optimal method in the sense of the speed of convergence, we…

Numerical Analysis · Mathematics 2018-11-12 Boleslaw Kacewicz

Feature selection is an important pre-processing step for many pattern classification tasks. Traditionally, feature selection methods are designed to obtain a feature subset that can lead to high classification accuracy. However,…

Machine Learning · Computer Science 2012-05-03 Rui Wang , Ke Tang

Federated Learning (FL) enables multiple resource-constrained edge devices with varying levels of heterogeneity to collaboratively train a global model. However, devices with limited capacity can create bottlenecks and slow down model…

Machine Learning · Computer Science 2025-04-08 Afsaneh Mahanipour , Hana Khamfroush