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Nonnegative Matrix Factorization (NMF) is a widely used technique in many applications such as face recognition, motion segmentation, etc. It approximates the nonnegative data in an original high dimensional space with a linear…

Machine Learning · Computer Science 2012-04-12 Bin Shen , Luo Si , Rongrong Ji , Baodi Liu

Topological optimization finds a material density distribution minimizing a functional of the solution of a partial differential equation (PDE), subject to a set of constraints (typically, a bound on the volume or mass of the material).…

Numerical Analysis · Mathematics 2017-05-23 G. V. Ovchinnikov , D. Zorin , I. V. Oseledets

This paper proposes a novel framework for active fault diagnosis and parameter estimation in linear systems operating in closed-loop, subject to unknown but bounded faults. The approach integrates set-membership identification with a cost…

Optimization and Control · Mathematics 2025-08-19 Annalena Daniels , Johannes Teutsch , Fabian Kleindienst , Marion Leibold , Dirk Wollherr

Federated Learning (FL) is a powerful framework for privacy-preserving distributed learning. It enables multiple clients to collaboratively train a global model without sharing raw data. However, handling noisy labels in FL remains a major…

Machine Learning · Computer Science 2026-02-19 Seunghun Yu , Jin-Hyun Ahn , Joonhyuk Kang

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

Monitoring the integrity of elastic structures using ultrasonic waves requires the efficient identification of material parameters from measured surface displacements. The displacement field is governed by Cauchy's equation of motion, i.e.,…

Numerical Analysis · Mathematics 2026-05-20 Benedikt Klein , Mario Ohlberger , Thomas Schuster

Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

General Mathematics · Mathematics 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

This paper addresses the problems of blind channel identification and multichannel equalization for speech dereverberation and noise reduction. The time-domain cross-relation method is not suitable for blind room impulse response…

Sound · Computer Science 2018-10-15 Xiaofei Li , Radu Horaud , Sharon Gannot

Radio Frequency Identification (RFID) tracking may be a viable solution for defense assets that must be stored in accordance with security guidelines. However, poor sensor specificity (vulnerabilities include long range detection, spoofing,…

Machine Learning · Computer Science 2025-10-24 Curtis Lee Shull , Merrick Green

Data-driven damage detection methods achieve damage identification by analyzing changes in damage-sensitive features (DSFs) derived from structural health monitoring (SHM) data. The core reason for their effectiveness lies in the fact that…

Applications · Statistics 2026-01-21 Zhicheng Chen , Wenyu Chen , Xinyi Lei

Quantifying frictional properties of interfaces remains a major challenge in both terrestrial and extraterrestrial geomechanics, where available samples, laboratory apparatuses, and geophysical observations are inherently limited. We…

Geophysics · Physics 2025-12-03 David Michael Riley , Diego Gutiérrez-Oribio , Ioannis Stefanou

We study the problem of localizing multiple sources of forced oscillations (FOs) and estimating their characteristics, such as frequency, phase, and amplitude, using noisy PMU measurements. For each source location, we model the input…

Applications · Statistics 2022-01-21 Rajasekhar Anguluri , Nima Taghipourbazargani , Oliver Kosut , Lalitha Sankar

Sparse system identification of nonlinear dynamic systems is still challenging, especially for stiff and high-order differential equations for noisy measurement data. The use of highly correlated functions makes distinguishing between true…

Computational Physics · Physics 2025-12-19 Ashish Pal , Sutanu Bhowmick , Satish Nagarajaiah

We study the Inexact Restoration framework with random models for minimizing functions whose evaluation is subject to errors. We propose a constrained formulation that includes well-known stochastic problems and an algorithm applicable when…

Optimization and Control · Mathematics 2026-02-24 Benedetta Morini , Simone Rebegoldi

Supervised deep learning methods typically require large datasets and high-quality labels to achieve reliable predictions. However, their performance often degrades when trained on imperfect labels. To address this challenge, we propose a…

Geophysics · Physics 2025-11-20 Yang Cui , Denis Anikiev , Umair Bin Waheed , Yangkang Chen

Information about microscopic objects with features smaller than the diffraction limit is almost entirely lost in a far-field diffraction image but could be partly recovered with data completition techniques. Any such approach critically…

Optics · Physics 2020-11-17 Maria Bancerek , Krzysztof M. Czajkowski , Rafal Kotynski

Federated learning is a communication-efficient training process that alternates between local training at the edge devices and averaging the updated local model at the central server. Nevertheless, it is impractical to achieve a perfect…

Machine Learning · Computer Science 2019-11-04 Fan Ang , Li Chen , Nan Zhao , Yunfei Chen , Weidong Wang , F. Richard Yu

This paper is concerned with the inverse obstacle scattering problem with phaseless far-field data at a fixed frequency. The main difficulty of this problem is the so-called translation invariance property of the modulus of the far-field…

Numerical Analysis · Mathematics 2018-08-29 Bo Zhang , Haiwen Zhang

Full-waveform inversion (FWI) is known as a seismic data processing method that achieves high-resolution imaging. In the inversion part of the method that brings high resolution in finding a convergence point in the model space, a local…

Geophysics · Physics 2023-07-11 Jiahang Li , Hitoshi Mikada , Junichi Takekawa

Local damage of bearings can be detected as a weak cyclic and impulsive component in a highly noisy measured signal. A key problem is how to extract the signal of interest (SOI) from the raw signal, i.e., how to identify and design an…

Signal Processing · Electrical Eng. & Systems 2024-03-20 Mateusz Gabor , Rafal Zdunek , Agnieszka Wylomanska , Radoslaw Zimroz
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