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In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality for an…

Functional Analysis · Mathematics 2014-05-22 Ibrahim Karahan , Murat Ozdemir

Hyperdimensional Computing (HDC) is emerging as a promising approach for edge AI, offering a balance between accuracy and efficiency. However, current HDC-based applications often rely on high-precision models and/or encoding matrices to…

Machine Learning · Computer Science 2025-05-09 Nilesh Prasad Pandey , Shriniwas Kulkarni , David Wang , Onat Gungor , Flavio Ponzina , Tajana Rosing

We demonstrate the application of the Dynamic Mode Decomposition (DMD) for the diagnostic analysis of the nonlinear dynamics of a magnetized plasma in resistive magnetohydrodynamics. The DMD method is an ideal spatio-temporal matrix…

Plasma Physics · Physics 2018-05-23 Roy Taylor , J. Nathan Kutz , Kyle Morgan , Brian Nelson

Idealized and comprehensive ocean models at low resolutions cannot reproduce nominally-resolved flow structures similar to those presented in the high-resolution solution. Although there are various underlying physical reasons for this,…

Fluid Dynamics · Physics 2023-05-24 Igor Shevchenko , Pavel Berloff

We present the Continuous Empirical Cubature Method (CECM), a novel algorithm for empirically devising efficient integration rules. The CECM aims to improve existing cubature methods by producing rules that are close to the optimal,…

Numerical Analysis · Mathematics 2023-11-03 J. A. Hernandez , J. R. Bravo , S. Ares de Parga

Modal decomposition techniques are showing a fast growth in popularity for their good properties as data-driven tools. There are several modal decomposition techniques, yet Proper Orthogonal Decomposition (POD) and Dynamic Mode…

A novel approach of data augmentation based on irregular superpixel decomposition is proposed. This approach called SuperpixelGridMasks permits to extend original image datasets that are required by training stages of machine…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Karim Hammoudi , Adnane Cabani , Bouthaina Slika , Halim Benhabiles , Fadi Dornaika , Mahmoud Melkemi

The empirical mode decomposition (EMD) method and its variants have been extensively employed in the load and renewable forecasting literature. Using this multiresolution decomposition, time series (TS) related to the historical load and…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Nima Safari , George Price , Chi Yung Chung

We propose a novel variant of the Localized Orthogonal Decomposition (LOD) method for time-harmonic scattering problems of Helmholtz type with high wavenumber $\kappa$. On a coarse mesh of width $H$, the proposed method identifies local…

Numerical Analysis · Mathematics 2024-08-05 Philip Freese , Moritz Hauck , Daniel Peterseim

A numerical algorithm is proposed to explore in a systematic way the trajectories of the eigenvalues of non-Hermitian matrices in the parametric space and exploit this in order to find the locations of defective eigenvalues in the complex…

Computational Physics · Physics 2020-04-08 Benoit Nennig , Emmanuel Perrey-Debain

Seismic datasets contain valuable information that originate from areas of interest in the subsurface; such seismic reflections are however inevitably contaminated by other events created by waves reverberating in the overburden.…

Geophysics · Physics 2022-08-10 Matteo Ravasi , Tamil Selvan , Nick Luiken

Fast and accurate sampling method is in high demand, in order to bridge the large gaps between molecular dynamic simulations and experimental observations. Recently, integrated tempering enhanced sampling method (ITS) has been proposed and…

Numerical Analysis · Mathematics 2018-06-22 Zhiyi You , Liying Li , Jianfeng Lu , Hao Ge

Motivated by the proliferation of mobile devices, we consider a basic form of the ubiquitous problem of time-delay estimation (TDE), but with communication constraints between two non co-located sensors. In this setting, when joint…

Signal Processing · Electrical Eng. & Systems 2024-12-05 Amir Weiss , Yuval Kochman , Gregory W. Wornell

Multi-material decomposition (MMD) enables quantitative reconstruction of tissue compositions in the human body, supporting a wide range of clinical applications. However, traditional MMD typically requires spectral CT scanners and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Qing Wu , Hongjiang Wei , Jingyi Yu , S. Kevin Zhou , Yuyao Zhang

Existing domain adaptation methods aim to reduce the distributional difference between the source and target domains and respect their specific discriminative information, by establishing the Maximum Mean Discrepancy (MMD) and the…

Machine Learning · Computer Science 2020-07-03 Wei Wang , Haojie Li , Zhengming Ding , Zhihui Wang

For hyperspectral image change detection (HSI-CD), one key challenge is to reduce band redundancy, as only a few bands are crucial for change detection while other bands may be adverse to it. However, most existing HSI-CD methods directly…

Image and Video Processing · Electrical Eng. & Systems 2023-11-17 Qingren Yao , Yuan Zhou , Chang Tang , Wei Xiang

This paper proposes a novel higher-order multi-scale (HOMS) computational method, which is highly targeted for efficient, high-accuracy and low-computational-cost simulation of hygro-thermo-mechanical (H-T-M) coupling problems in…

Numerical Analysis · Mathematics 2025-12-11 Hao Dong , Yifei Ding , Jiale Linghu , Yufeng Nie , Yaochuang Han

Nonlinear phenomena can be analyzed via linear techniques using operator-theoretic approaches. Data-driven method called the extended dynamic mode decomposition (EDMD) and its variants, which approximate the Koopman operator associated with…

Machine Learning · Computer Science 2022-05-18 Hiroaki Terao , Sho Shirasaka , Hideyuki Suzuki

Recently, flow-based methods have achieved promising success in video frame interpolation. However, electron microscopic (EM) images suffer from unstable image quality, low PSNR, and disorderly deformation. Existing flow-based interpolation…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Zejin Wang , Guodong Sun , Lina Zhang , Guoqing Li , Hua Han

Hyperspectral imagery encodes rich material properties that can improve tracking robustness under appearance ambiguity, illumination change, and background clutter. However, due to the limited availability of hyperspectral video data, many…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Xu Han , Mohammad Aminul Islam , Lei Wang , Zekun Long , Guanmanyi Fu , Wangshu Cai , Kuldip K. Paliwal , Jun Zhou
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