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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

In this paper, we consider a compressed sensing problem of reconstructing a sparse signal from an undersampled set of noisy linear measurements. The regularized least squares or least absolute shrinkage and selection operator (LASSO)…

Information Theory · Computer Science 2014-10-30 Chao-Kai Wen , Jun Zhang , Kai-Kit Wong , Jung-Chieh Chen , Chau Yuen

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

Methodology · Statistics 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

The Lasso is an attractive technique for regularization and variable selection for high-dimensional data, where the number of predictor variables $p_n$ is potentially much larger than the number of samples $n$. However, it was recently…

Statistics Theory · Mathematics 2009-03-02 Nicolai Meinshausen , Bin Yu

Soft sensing is a way to indirectly obtain information of signals for which direct sensing is difficult or prohibitively expensive. It may not \textit{a priori} be evident which sensors provide useful information about the target signal,…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Le Wang , Ying Wang , Yu Qiu , Mian Li , Håkan Hjalmarsson

Labeling training data has become one of the major roadblocks to using machine learning. Among various weak supervision paradigms, programmatic weak supervision (PWS) has achieved remarkable success in easing the manual labeling bottleneck…

Machine Learning · Computer Science 2022-02-15 Jieyu Zhang , Cheng-Yu Hsieh , Yue Yu , Chao Zhang , Alexander Ratner

To estimate multiple-input multiple-output (MIMO) channels, invariable step-size normalized least mean square (ISSNLMS) algorithm was applied to adaptive channel estimation (ACE). Since the MIMO channel is often described by sparse channel…

Information Theory · Computer Science 2013-11-07 Guan Gui , Shinya kumagai , Fumiyuki Adachi

By treating intervals as inseparable sets, this paper proposes sparse machine learning regressions for high-dimensional interval-valued time series. With LASSO or adaptive LASSO techniques, we develop a penalized minimum distance…

Econometrics · Economics 2024-11-15 Haowen Bao , Yongmiao Hong , Yuying Sun , Shouyang Wang

Recently, considerable interest has focused on variable selection methods in regression situations where the number of predictors, $p$, is large relative to the number of observations, $n$. Two commonly applied variable selection approaches…

Applications · Statistics 2011-04-19 Peter Radchenko , Gareth M. James

Iteratively reweighted least square (IRLS) is a popular approach to solve sparsity-enforcing regression problems in machine learning. State of the art approaches are more efficient but typically rely on specific coordinate pruning schemes.…

Machine Learning · Statistics 2022-10-03 Clarice Poon , Gabriel Peyré

We consider a linear regression problem in a high dimensional setting where the number of covariates $p$ can be much larger than the sample size $n$. In such a situation, one often assumes sparsity of the regression vector, \textit i.e.,…

Statistics Theory · Mathematics 2011-10-12 Mohamed Hebiri , Sara A. Van De Geer

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing (CS) in many applications such as Radar imaging and sparse channel estimation. Unlike the NSS, in this paper, we propose an adaptive sparse…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Xiao-mei Zhu , Zhang-xin Chen

We motivate weakly supervised learning as an effective learning paradigm for problems where curating perfectly annotated datasets is expensive and may require domain expertise such as fine-grained classification. We focus on Partial Label…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Darshana Saravanan , Naresh Manwani , Vineet Gandhi

Recently, the leaky diffusion least-mean-square (DLMS) algorithm has obtained much attention because of its good performance for high input eigenvalue spread and low signal-to-noise ratio (SNR). However, the leaky DLMS algorithm may suffer…

Signal Processing · Electrical Eng. & Systems 2018-11-01 Long Shi , Haiquan Zhao

The least-mean-squares (LMS) algorithm is the most popular algorithm in adaptive filtering. Several variable step-size strategies have been suggested to improve the performance of the LMS algorithm. These strategies enhance the performance…

Data Structures and Algorithms · Computer Science 2017-03-22 Muhammad Omer Bin Saeed

We consider the problem of fitting the parameters of a high-dimensional linear regression model. In the regime where the number of parameters $p$ is comparable to or exceeds the sample size $n$, a successful approach uses an…

Statistics Theory · Mathematics 2013-11-04 Adel Javanmard , Andrea Montanari

Classification methods based on sparse estimation have drawn much attention recently, due to their effectiveness in processing high-dimensional data such as images. In this paper, a method to improve the performance of a sparse…

Machine Learning · Statistics 2018-10-24 Babak Barazandeh , Mohammadhussein Rafieisakhaei , Sunwook Kim , Zhenyu , Kong , Maury A. Nussbaum

Spare representation of signals has received significant attention in recent years. Based on these developments, a sparse representation-based classification (SRC) has been proposed for a variety of classification and related tasks,…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Minshan Cui , Saurabh Prasad

This paper proposes an online secondary path modelling (SPM) technique to improve the performance of the modified filtered reference Least Mean Square (FXLMS) algorithm. It can effectively respond to a time-varying secondary path, which…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-21 Junwei Ji , Dongyuan Shi , Woon-Seng Gan , Xiaoyi Shen , Zhengding Luo

The proportionate normalized least mean square (PNLMS) algorithm and its variants are by far the most popular adaptive filters that are used to identify sparse systems. The convergence speed of the PNLMS algorithm, though very high…

Information Theory · Computer Science 2015-07-13 Rajib Lochan Das , Mrityunjoy Chackraborty