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We consider the Orthogonal Least-Squares (OLS) algorithm for the recovery of a $m$-dimensional $k$-sparse signal from a low number of noisy linear measurements. The Exact Recovery Condition (ERC) in bounded noisy scenario is established for…

Machine Learning · Statistics 2016-08-09 Abolfazl Hashemi , Haris Vikalo

The recovery of sparse data is at the core of many applications in machine learning and signal processing. While such problems can be tackled using $\ell_1$-regularization as in the LASSO estimator and in the Basis Pursuit approach,…

Optimization and Control · Mathematics 2021-11-15 Christian Kümmerle , Claudio Mayrink Verdun , Dominik Stöger

A new Lp-norm constraint least mean square (Lp-LMS) algorithm with new strategy of varying p is presented, which is applied to system identification in this letter. The parameter p is iteratively adjusted by the gradient method applied to…

Systems and Control · Computer Science 2016-03-31 Yong Feng , Fei Chen , Jiasong Wu

We propose a block least mean square (LMS) algorithm to monitor the longitudinal power profile of a fiber-optic link through receiver-based digital data from a coherent detector. Compared to the benchmark least squares (LS) method, the…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Paolo Serena , Chiara Lasagni , Alberto Bononi , Fabien Boitier , Joana Girard-Jollet

This paper presents a sparse Bayesian learning (SBL) algorithm for linear inverse problems with a high order total variation (HOTV) sparsity prior. For the problem of sparse signal recovery, SBL often produces more accurate estimates than…

Signal Processing · Electrical Eng. & Systems 2020-07-20 Victor Churchill , Anne Gelb

In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The…

Machine Learning · Statistics 2018-11-07 Arun Venkitaraman , Pascal Frossard , Saikat Chatterjee

Label smoothing (LS) is an arising learning paradigm that uses the positively weighted average of both the hard training labels and uniformly distributed soft labels. It was shown that LS serves as a regularizer for training data with hard…

Machine Learning · Computer Science 2022-06-28 Jiaheng Wei , Hangyu Liu , Tongliang Liu , Gang Niu , Masashi Sugiyama , Yang Liu

Deepening and widening convolutional neural networks (CNNs) significantly increases the number of trainable weight parameters by adding more convolutional layers and feature maps per layer, respectively. By imposing inter- and intra-group…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Kevin Bui , Fredrick Park , Shuai Zhang , Yingyong Qi , Jack Xin

Sparse learning is an important topic in many areas such as machine learning, statistical estimation, signal processing, etc. Recently, there emerges a growing interest on structured sparse learning. In this paper we focus on the…

Information Theory · Computer Science 2015-03-10 Shubao Zhang , Hui Qian , Zhihua Zhang

Learning with Noisy Labels (LNL) has attracted significant attention from the research community. Many recent LNL methods rely on the assumption that clean samples tend to have "small loss". However, this assumption always fails to…

Machine Learning · Computer Science 2022-11-17 MingCai Chen , Yu Zhao , Bing He , Zongbo Han , Bingzhe Wu , Jianhua Yao

An important step in a multi-sensor surveillance system is to estimate sensor biases from their noisy asynchronous measurements. This estimation problem is computationally challenging due to the highly nonlinear transformation between the…

Information Theory · Computer Science 2018-05-21 Wenqiang Pu , Ya-Feng Liu , Junkun Yan , Hongwei Liu , Zhi-Quan Luo

This paper suggests a nonparametric scheme to find the sparse solution of the underdetermined system of linear equations in the presence of unknown impulsive or non-Gaussian noise. This approach is robust against any variations of the noise…

Computer Vision and Pattern Recognition · Computer Science 2012-01-16 Mahmoud Ramezani Mayiami , Babak Seyfe

This paper develops the non-intrusive formulation of the Least-squares shadowing (LSS) method, for computing the sensitivity of long-time averaged objectives in chaotic dynamical systems. This non-intrusive formulation constrains the…

Computational Physics · Physics 2019-06-26 Angxiu Ni , Qiqi Wang

We propose a Bayesian framework for training binary and spiking neural networks that achieves state-of-the-art performance without normalisation layers. Unlike commonly used surrogate gradient methods -- often heuristic and sensitive to…

Machine Learning · Computer Science 2025-05-26 James A. Walker , Moein Khajehnejad , Adeel Razi

We extend the data-assimilation approach of Ling and Lozano-Dur\'an (AIAA 2025-1280) to develop machine-learning-based subgrid-scale stress (SGS) models for large-eddy simulation (LES) that are consistent with the numerical scheme of the…

Fluid Dynamics · Physics 2026-01-29 Yuenong Ling , Adrián Lozano-Durán

Recently, deep end-to-end learning has been studied for intent classification in Spoken Language Understanding (SLU). However, end-to-end models require a large amount of speech data with intent labels, and highly optimized models are…

Computation and Language · Computer Science 2024-05-27 Suyoung Kim , Jiyeon Hwang , Ho-Young Jung

Orthogonal least squares (OLS)-type algorithms are efficient in reconstructing sparse signals, which include the well-known OLS, multiple OLS (MOLS) and block OLS (BOLS). In this paper, we first investigate the noiseless exact recovery…

Signal Processing · Electrical Eng. & Systems 2022-10-13 L. Lu , W. Xu , Y. Wang , Z. Tian

Stochastic computing (SC) has emerged as an efficient low-power alternative for deploying neural networks (NNs) in resource-limited scenarios, such as the Internet of Things (IoT). By encoding values as serial bitstreams, SC significantly…

Machine Learning · Computer Science 2025-08-14 Ziheng Wang , Pedro Reviriego , Farzad Niknia , Zhen Gao , Javier Conde , Shanshan Liu , Fabrizio Lombardi

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

Sparse auto-encoders are useful for extracting low-dimensional representations from high-dimensional data. However, their performance degrades sharply when the input noise at test time differs from the noise employed during training. This…

Machine Learning · Computer Science 2024-07-01 Nelson Goldenstein , Jeremias Sulam , Yaniv Romano