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This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

Machine Learning · Computer Science 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed

We propose a method for solving statistical mechanics problems defined on sparse graphs. It extracts a small Feedback Vertex Set (FVS) from the sparse graph, converting the sparse system to a much smaller system with many-body and dense…

Statistical Mechanics · Physics 2021-01-15 Feng Pan , Pengfei Zhou , Hai-Jun Zhou , Pan Zhang

In the area of sparse recovery, numerous researches hint that non-convex penalties might induce better sparsity than convex ones, but up until now those corresponding non-convex algorithms lack convergence guarantees from the initial…

Information Theory · Computer Science 2014-04-29 Laming Chen , Yuantao Gu

In this paper, we propose a sparsity-promoting feedback control design for stochastic linear systems with multiplicative noise. The objective is to identify a sparse control architecture that optimizes the closed-loop performance while…

Optimization and Control · Mathematics 2022-08-22 Yi Guo , Ognjen Stanojev , Gabriela Hug , Tyler Summers

This paper considers the problem of simultaneous sensor fault detection, isolation, and networked estimation of linear full-rank dynamical systems. The proposed networked estimation is a variant of single time-scale protocol and is based on…

Systems and Control · Electrical Eng. & Systems 2020-09-28 Mohammadreza Doostmohammadian , Nader Meskin

Convolutional sparse coding (CSC) can learn representative shift-invariant patterns from multiple kinds of data. However, existing CSC methods can only model noises from Gaussian distribution, which is restrictive and unrealistic. In this…

Machine Learning · Computer Science 2020-04-22 Yaqing Wang , James T. Kwok , Lionel M. Ni

Community detection refers to finding densely connected groups of nodes in graphs. In important applications, such as cluster analysis and network modelling, the graph is sparse but outliers and heavy-tailed noise may obscure its structure.…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Aylin Tastan , Michael Muma , Abdelhak M. Zoubir

In this paper, {the goal is to design deterministic sampling patterns on the sphere and the rotation group} and, thereby, construct sensing matrices for sparse recovery of band-limited functions. It is first shown that random sensing…

Information Theory · Computer Science 2020-04-22 Arya Bangun , Arash Behboodi , Rudolf Mathar

The focus in this paper is Bayesian system identification based on noisy incomplete modal data where we can impose spatially-sparse stiffness changes when updating a structural model. To this end, based on a similar hierarchical sparse…

Applications · Statistics 2017-02-07 Yong Huang , James L. Beck , Hui Li

Given fruitful works in the image monitoring, there is a lack of data-driven tools guiding the practitioners to select proper monitoring procedures. The potential model mismatch caused by the arbitrary selection could deviate the empirical…

Methodology · Statistics 2023-10-03 Tingnan Gong

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

Machine Learning · Computer Science 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou

In this paper, we introduce a new detection algorithm for large-scale wireless systems, referred to as post sparse error detection (PSED) algorithm, that employs a sparse error recovery algorithm to refine the estimate of a symbol vector…

Information Theory · Computer Science 2015-12-08 Jun Won Choi , Byonghyo Shim

There is increasing interest in detecting collective anomalies: potentially short periods of time where the features of data change before reverting back to normal behaviour. We propose a new method for detecting a collective anomaly in VAR…

Methodology · Statistics 2021-05-18 Hyeyoung Maeng , Idris Eckley , Paul Fearnhead

Reconstruction fidelity of sparse signals contaminated by sparse noise is considered. Statistical mechanics inspired tools are used to show that the l1-norm based convex optimization algorithm exhibits a phase transition between the…

Information Theory · Computer Science 2013-09-17 Mikko Vehkapera , Yoshiyuki Kabashima , Saikat Chatterjee

Vibration signals are commonly used to detect local damage in rotating machinery. However, raw signals are often noisy, particularly in crusher machines, where the technological process (falling pieces of rock) generates random impulses…

Signal Processing · Electrical Eng. & Systems 2025-02-18 Justyna Hebda-Sobkowicz , Radosław Zimroz , Anil Kumar , Agnieszka Wyłomanska

We present a compressive sensing based defect detection by multiple input multiple output (MIMO) wireless radar. Here, defects are inside a layered material structure, therefore, due to reflections from the surface of the layered material…

Signal Processing · Electrical Eng. & Systems 2022-02-22 Udaya S. K. P. Miriya Thanthrige , Ali Kariminezhad , Peter Jung , Aydin Sezgin

We study iterative regularization for linear models, when the bias is convex but not necessarily strongly convex. We characterize the stability properties of a primal-dual gradient based approach, analyzing its convergence in the presence…

Machine Learning · Statistics 2020-10-30 Cesare Molinari , Mathurin Massias , Lorenzo Rosasco , Silvia Villa

The features of non-stationary multi-component signals are often difficult to be extracted for expert systems. In this paper, a new method for feature extraction that is based on maximization of local Gaussian correlation function of…

Information Theory · Computer Science 2016-06-30 Amir Hosein Zamanian , Abdolreza Ohadi

Regularization of the inverse problem is a complex issue when using Near-field Acoustic Holography (NAH) techniques to identify the vibrating sources. This paper shows that, for convex homogeneous plates with arbitrary boundary conditions,…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Gilles Chardon , Laurent Daudet , Antoine Peillot , François Ollivier , Nancy Bertin , Rémi Gribonval

Sparse matrices are favorable objects in machine learning and optimization. When such matrices are used, in place of dense ones, the overall complexity requirements in optimization can be significantly reduced in practice, both in terms of…

Information Theory · Computer Science 2016-04-05 Anastasios Kyrillidis , Bubacarr Bah , Rouzbeh Hasheminezhad , Quoc Tran-Dinh , Luca Baldassarre , Volkan Cevher
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