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This paper considers the linear inverse problem where we wish to estimate a structured signal $x$ from its corrupted observations. When the problem is ill-posed, it is natural to make use of a convex function $f(\cdot)$ that exploits the…

Information Theory · Computer Science 2013-12-06 Samet Oymak , Christos Thrampoulidis , Babak Hassibi

The simulation of fracture using continuum ductile damage models attains a pathological discretization dependence caused by strain localization, after loss of ellipticity of the problem, in regions whose size is connected to the spatial…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 M. Magri , S. Lucarini , G. Lemoine , L. Adam , J. Segurado

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, specially for high Reynolds fluid flow. This paper devises an explicit boundary method that employs…

Spectroscopic anomaly detection and isotope identification algorithms are integral components in nuclear nonproliferation applications such as search operations. The task is especially challenging in the case of mobile detector systems due…

In this paper, we discuss the problem of system identification when frequency domain side information is available on the system. Initially, we consider the case where the prior knowledge is provided as being the $\Hcal_{\infty}$-norm of…

Optimization and Control · Mathematics 2022-11-08 Mohammad Khosravi , Roy S. Smith

In classical approaches of dynamic network identification, in order to identify a system (module) embedded in a dynamic network, one has to formulate a Multi-input-Single-output (MISO) identification problem that requires identification of…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Karthik R. Ramaswamy , Péter Zoltán Csurcsia , Johan Schoukens , Paul M. J. Van den Hof

Solving inverse problems involving measurement noise and modeling errors requires regularization in order to avoid data overfit. Geophysical inverse problems, in which the Earth's highly heterogeneous structure is unknown, present a…

Geophysics · Physics 2022-03-31 Ali Siahkoohi , Rafael Orozco , Gabrio Rizzuti , Felix J. Herrmann

This paper is concerned with the detection of objects immersed in anisotropic media from boundary measurements. We propose an accurate approach based on the Kohn-Vogelius formulation and the topological sensitivity analysis method. The…

Analysis of PDEs · Mathematics 2017-07-13 Maatoug Hassine , Imen Kallel

Using piezoelectric impedance/admittance sensing for structural health monitoring is promising, owing to the simplicity in circuitry design as well as the high-frequency interrogation capability. The actual identification of fault location…

Computational Engineering, Finance, and Science · Computer Science 2018-10-30 Pei Cao , Qi Shuai , Jiong Tang

In this paper, we aim at recovering an unknown signal x0 from noisy L1measurements y=Phi*x0+w, where Phi is an ill-conditioned or singular linear operator and w accounts for some noise. To regularize such an ill-posed inverse problem, we…

Statistics Theory · Mathematics 2013-11-05 Samuel Vaiter , Charles Deledalle , Gabriel Peyré , Charles Dossal , Jalal Fadili

The high structural deficient rate poses serious risks to the operation of many bridges and buildings. To prevent critical damage and structural collapse, a quick structural health diagnosis tool is needed during normal operation or…

Applications · Statistics 2018-12-10 Yizheng Liao , Anne S. Kiremidjian , Ram Rajagopal , Chin-Hsuing Loh

This paper proposes a novel method for tamper detection and recovery using semi-fragile data hiding, based on Lifting Wavelet Transform (LWT) and Feed-Forward Neural Network (FNN). In TRLF, first, the host image is decomposed up to one…

Cryptography and Security · Computer Science 2018-02-21 Behrouz Bolourian Haghighi , Amir Hossein Taherinia , Reza Monsefi

The problem of local damage diagnosis (based on the detection of impulsive and periodic signals) is discussed. Both features should be checked, as fault frequency must be linked to the true value calculated for a given machine and speed.…

Signal Processing · Electrical Eng. & Systems 2024-09-26 Daniel Kuzio , Radosław Zimroz , Agnieszka Wyłomańska

The demand for faster protection algorithms is growing due to the increasingly faster dynamics in the system. The majority of existing algorithms require empirically selected set-points, which may reduce sensitivity to internal faults and…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Nadezhda Davydova , Dmitry Shchetinin , Gabriela Hug

We propose a multi-objective global pattern search algorithm for the task of locating and quantifying damage in flexible mechanical structures. This is achieved by identifying eigenfrequencies and eigenmodes from measurements and matching…

Personalized Federated Learning (PFL) aims to learn multiple task-specific models rather than a single global model across heterogeneous data distributions. Existing PFL approaches typically rely on iterative optimization-such as model…

Machine Learning · Computer Science 2026-04-22 Abdulmoneam Ali , Ahmed Arafa

This paper proposes a novel graph-based framework for robust and interpretable multiclass fault diagnosis in rotating machinery. The method integrates entropy-optimized signal segmentation, time-frequency feature extraction, and…

Artificial Intelligence · Computer Science 2025-08-08 Moirangthem Tiken Singh

In recent years, federated learning (FL) has made significant advance in privacy-sensitive applications. However, it can be hard to ensure that FL participants provide well-annotated data for training. The corresponding annotations from…

Machine Learning · Computer Science 2025-06-04 Xuefeng Jiang , Tian Wen , Zhiqin Yang , Lvhua Wu , Yufeng Chen , Sheng Sun , Yuwei Wang , Min Liu

The inverse conductivity problem aims at determining the unknown conductivity inside a bounded domain from boundary measurements. In practical applications, algorithms based on minimizing a regularized residual functional subject to PDE…

Numerical Analysis · Mathematics 2025-10-02 Lefu Cai , Zhixin Liu , Minghui Song , Xianchao Wang

We present a frequency-domain system identification scheme based on barycentric interpolation and weight optimization. The scheme is related to the Adaptive Antoulas-Anderson (AAA) algorithm for model reduction, but uses an adaptive…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Jared Jonas , Bassam Bamieh