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We propose a novel algorithm for greedy forward feature selection for regularized least-squares (RLS) regression and classification, also known as the least-squares support vector machine or ridge regression. The algorithm, which we call…

Machine Learning · Statistics 2010-03-19 Tapio Pahikkala , Antti Airola , Tapio Salakoski

Focusing on stochastic programming (SP) with covariate information, this paper proposes an empirical risk minimization (ERM) method embedded within a nonconvex piecewise affine decision rule (PADR), which aims to learn the direct mapping…

Optimization and Control · Mathematics 2025-09-29 Yiyang Zhang , Junyi Liu , Xiaobo Zhao

Leading methods for support recovery in high-dimensional regression, such as Lasso, have been well-studied and their limitations in the context of correlated design have been characterized with precise incoherence conditions. In this work,…

Statistics Theory · Mathematics 2019-03-25 S. Jalil Kazemitabar , Arash A. Amini , Ameet Talwalkar

There is an increasing use of some imperceivable and redundant local features for face recognition. While only a relatively small fraction of them is relevant to the final recognition task, the feature selection is a crucial and necessary…

Computer Vision and Pattern Recognition · Computer Science 2011-05-09 Yixiong Liang , Lei Wang , Shenghui Liao , Beiji Zou

Software fault prediction (SFP) is a critical task in software engineering, enabling early identification of faults in modules to improve software quality and reduce maintenance costs. This research investigates the combined effects of…

Software Engineering · Computer Science 2026-05-19 Ahmad Nauman Ghazi , Nagajyothi Devarapalli , Ashir Javeed , Sadi Alawadi , Fahed Alkhabbas , Khalid AlKharabsheh

In this paper, the estimation problem for sparse reduced rank regression (SRRR) model is considered. The SRRR model is widely used for dimension reduction and variable selection with applications in signal processing, econometrics, etc. The…

Machine Learning · Statistics 2018-03-21 Ziping Zhao , Daniel P. Palomar

A common strategy for sparse linear regression is to introduce regularization, which eliminates irrelevant features by letting the corresponding weights be zeros. However, regularization often shrinks the estimator for relevant features,…

Machine Learning · Statistics 2015-10-07 Yohei Kondo , Kohei Hayashi , Shin-ichi Maeda

Feature selection is playing an increasingly significant role with respect to many computer vision applications spanning from object recognition to visual object tracking. However, most of the recent solutions in feature selection are not…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Giorgio Roffo , Simone Melzi , Umberto Castellani , Alessandro Vinciarelli

In modern electronic manufacturing, defect detection on Printed Circuit Boards (PCBs) plays a critical role in ensuring product yield and maintaining the reliability of downstream assembly processes. However, existing methods often suffer…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Jiangzhong Cao , Huanqi Wu , Xu Zhang , Lianghong Tan , Huan Zhang

Simultaneous feature selection and non-linear function estimation is challenging in modeling, especially in high-dimensional settings where the number of variables exceeds the available sample size. In this article, we investigate the…

Machine Learning · Statistics 2026-01-05 Bin Luo , Susan Halabi

Non-negative matrix factorization (NMF) is a dimensionality reduction technique which tends to produce a sparse representation of data. Commonly, the error between the actual and recreated matrices is used as an objective function, but this…

Machine Learning · Computer Science 2019-02-06 Steven Squires , Adam Prugel Bennett , Mahesan Niranjan

Feature selection by maximizing high-order mutual information between the selected feature vector and a target variable is the gold standard in terms of selecting the best subset of relevant features that maximizes the performance of…

Machine Learning · Computer Science 2022-10-19 Magda Amiridi , Nikos Kargas , Nicholas D. Sidiropoulos

The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

Methodology · Statistics 2023-11-10 Mehdi Rostami , Olli Saarela

We propose a feature selection method that finds non-redundant features from a large and high-dimensional data in nonlinear way. Specifically, we propose a nonlinear extension of the non-negative least-angle regression (LARS) called…

Machine Learning · Statistics 2014-11-11 Makoto Yamada , Avishek Saha , Hua Ouyang , Dawei Yin , Yi Chang

Similarity matrix serves as a fundamental tool at the core of numerous downstream machine-learning tasks. However, missing data is inevitable and often results in an inaccurate similarity matrix. To address this issue, Similarity Matrix…

Machine Learning · Computer Science 2024-10-01 Changyi Ma , Runsheng Yu , Xiao Chen , Youzhi Zhang

Static feature exclusion strategies often fail to prevent bias when hidden dependencies influence the model predictions. To address this issue, we explore a reinforcement learning (RL) framework that integrates bias mitigation and automated…

Machine Learning · Computer Science 2025-10-14 Sudip Khadka , L. S. Paudel

This paper introduces the Asymptotic-Preserving Random Feature Method (APRFM) for the efficient resolution of multiscale radiative transfer equations. The APRFM effectively addresses the challenges posed by stiffness and multiscale…

Numerical Analysis · Mathematics 2025-05-20 Jingrun Chen , Zheng Ma , Keke Wu

Recovering intrinsic data structure from corrupted observations plays an important role in various tasks in the communities of machine learning and signal processing. In this paper, we propose a novel model, named log-sum heuristic recovery…

Numerical Analysis · Computer Science 2014-08-13 Yue Deng , Qionghai Dai , Risheng Liu , Zengke Zhang , Sanqing Hu

Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

Statistics Theory · Mathematics 2025-09-23 Xin Bing , Xin He , Chao Wang

Feature selection is an important data pre-processing in data mining and machine learning, which can reduce feature size without deteriorating model's performance. Recently, sparse regression based feature selection methods have received…

Machine Learning · Computer Science 2021-03-31 Zhenzhen Sun , Yuanlong Yu
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