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We study the problem of estimating low-rank matrices from linear measurements (a.k.a., matrix sensing) through nonconvex optimization. We propose an efficient stochastic variance reduced gradient descent algorithm to solve a nonconvex…

Machine Learning · Statistics 2017-01-17 Xiao Zhang , Lingxiao Wang , Quanquan Gu

Data-driven identification of differential equations is an interesting but challenging problem, especially when the given data are corrupted by noise. When the governing differential equation is a linear combination of various differential…

Numerical Analysis · Mathematics 2023-04-05 Mengyi Tang , Wenjing Liao , Rachel Kuske , Sung Ha Kang

Linear discriminant analysis (LDA) is a popular technique to learn the most discriminative features for multi-class classification. A vast majority of existing LDA algorithms are prone to be dominated by the class with very large deviation…

Machine Learning · Computer Science 2020-09-28 Caixia Yan , Xiaojun Chang , Minnan Luo , Qinghua Zheng , Xiaoqin Zhang , Zhihui Li , Feiping Nie

This paper proposes a unified sparsity-aware robust normalized subband adaptive filtering (SA-RNSAF) algorithm for identification of sparse systems under impulsive noise. The proposed SA-RNSAF algorithm generalizes different algorithms by…

Machine Learning · Computer Science 2022-05-17 Yi Yu , Zongxin Huang , Hongsen He , Yuriy Zakharov , Rodrigo C. de Lamare

By transforming identification and control for nonlinear system into optimization problems, a novel optimization method named state transition algorithm (STA) is introduced to solve the problems. In the proposed STA, a solution to a…

Optimization and Control · Mathematics 2015-11-18 Xiaojun Zhou , Chunhua Yang , Weihua Gui

Anomaly detection is fundamental for ensuring quality control and operational efficiency in industrial environments, yet conventional approaches face significant challenges when training data contains mislabeled samples-a common occurrence…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Muhammad Aqeel , Shakiba Sharifi , Marco Cristani , Francesco Setti

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing in many applications such as Radar imaging. Unlike the NSS, in this paper, we propose an adaptive sparse sensing (ASS) approach using reweighted…

Information Theory · Computer Science 2015-06-18 Guan Gui , Li Xu , Fumiyuki Adachi

Continuous efforts are being made to advance anomaly detection in various manufacturing processes to increase the productivity and safety of industrial sites. Deep learning replaced rule-based methods and recently emerged as a promising…

Machine Learning · Computer Science 2024-06-28 Kukjin Choi , Jihun Yi , Jisoo Mok , Sungroh Yoon

Networked dynamic systems are ubiquitous in various domains, such as industrial processes, social networks, and biological systems. These systems produce high-dimensional data that reflect the complex interactions among the network nodes…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Jiaxin Yu , Yanfang Mo , S. Joe Qin

The sparsity-aware zero attractor least mean square (ZA-LMS) algorithm manifests much lower misadjustment in strongly sparse environment than its sparsity-agnostic counterpart, the least mean square (LMS), but is shown to perform worse than…

Information Theory · Computer Science 2016-05-11 Bijit Kumar Das , Mrityunjoy Chakraborty

Non-negative matrix factorization is a popular tool for decomposing data into feature and weight matrices under non-negativity constraints. It enjoys practical success but is poorly understood theoretically. This paper proposes an algorithm…

Machine Learning · Computer Science 2016-11-15 Yuanzhi Li , Yingyu Liang , Andrej Risteski

We investigate the use of active-learning (AL) strategies to generate the input excitation signal at runtime for system identification of linear and nonlinear autoregressive and state-space models. We adapt various existing AL approaches…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Kui Xie , Alberto Bemporad

This paper proposes an improved variable step-size (VSS) scheme for zero-point attracting projection (ZAP) algorithm. The proposed VSS is proportional to the sparseness difference between filter coefficients and the true impulse response.…

Other Computer Science · Computer Science 2015-04-15 Jianming Liu , Steven L. Grant

In this paper, we propose a new solution for the detection problem of a coherent target in heterogeneous environments. Specifically, we first assume that clutter returns from different range bins share the same covariance structure but…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Angelo Coluccia , Danilo Orlando , Giuseppe Ricci

In statistics, the least absolute shrinkage and selection operator (Lasso) is a regression method that performs both variable selection and regularization. There is a lot of literature available, discussing the statistical properties of the…

Computation · Statistics 2023-03-08 Yujie Zhao , Xiaoming Huo

L1-minimization refers to finding the minimum L1-norm solution to an underdetermined linear system b=Ax. Under certain conditions as described in compressive sensing theory, the minimum L1-norm solution is also the sparsest solution. In…

Computer Vision and Pattern Recognition · Computer Science 2012-08-28 Allen Y. Yang , Zihan Zhou , Arvind Ganesh , S. Shankar Sastry , Yi Ma

This paper presents a two-stage online algorithm for recovery of low-rank parameter matrix in non-stationary stochastic systems. The first stage applies the recursive least squares (RLS) estimator combined with its singular value…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Yanxin Fu , Junbao Zhou , Yu Hu , Wenxiao Zhao

The explosive growth of system logs makes streaming compression essential, yet existing log anomaly detection (LAD) methods incur severe pre-processing overhead by requiring full decompression and parsing. We introduce CLAD, the first deep…

Machine Learning · Computer Science 2026-04-15 Benzhao Tang , Shiyu Yang

Anomalous sound detection (ASD) is one of the most significant tasks of mechanical equipment monitoring and maintaining in complex industrial systems. In practice, it is vital to precisely identify abnormal status of the working mechanical…

Identification of a linear time-invariant dynamical system from partial observations is a fundamental problem in control theory. Particularly challenging are systems exhibiting long-term memory. A natural question is how learn such systems…

Machine Learning · Computer Science 2022-03-08 Holden Lee