A Joint Moving Target Detection Method in Video SAR Via Low-Rank Sparse Decomposition and Transformer by Hui Fang, Guisheng Liao, Yongjun Liu, Cao Zeng, Xiongpeng He, Mingming Xu

“…Numerous classical shadow-based detection methods have been applied in video SAR. In addition, shadow-assisted detection methods based on convolutional neural networks (CNNs) have been developed. …”
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A Novel, Direct Matrix Solver for Supersonic Boundary Element Method Systems by Cory Goates, Douglas Hunsaker

“…A novel direct solution method is developed here based on fast Givens rotations and the QR decomposition. …”
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Benzoyl peroxide decomposition on the surface of carbon materials on the base of activated carbon KAU by D. M. Haliarnyk, E. M. Demianenko, O. M. Bakalinska, T. V. Kulyk, B. B. Palyanytsya, A. G. Grebenyuk, V. S. Kuts, M. T. Kartel

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A Novel Method for PolISAR Interpretation of Space Target Structure Based on Component Decomposition and Coherent Feature Extraction by Zhuo Chen, Zhiming Xu, Xiaofeng Ai, Qihua Wu, Xiaobin Liu, Jianghua Cheng

“…The results show that the proposed method exhibits a more intuitive correlation with the authentic target structures compared to traditional polarized interpretation methods based on Cameron decomposition.…”
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Extended semilocal convergence for the Newton- Kurchatov method by H.P. Yarmola, I. K. Argyros, S.M. Shakhno

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A Systematic Design Method for Large-Scale Wireless Ad Hoc Network Protocol Based on Optimization Decomposition Theory by Chaonong Xu, Chi Zhang, Yongjun Xu, Zhiguang Wang

“…We solve the problem by putting forward a systematic design method based on optimization decomposition. The systematic method includes primal decomposition method and dual decomposition method, with which a complex optimization problem can be decomposed into several smaller and independent optimization subproblems. …”
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Method for decomposition a global task into local tasks through the process of collective decision making in swarm robotic systems by V. I. Petrenko, F. B. Tebueva, V. O. Antonov, S. S. Ryabtsev, A. S. Pavlov

“…The method implemented using the solutions proposed in the work turned out to be more efficient than the method based on the greedy algorithm. …”
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A Novel Shearer Cutting State Recognition Method Based on Improved Variational Mode Decomposition and LSSVM with Acoustic Signals by Zhongbin Wang, Bin Liang, Lei Si, Kuangwei Tong, Chao Tan

“…Finally, the experimental results indicate that the proposed method is more feasible and superior in the recognition of shearer cutting states.…”
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High Spatiotemporal Resolution Monitoring of Water Body Dynamics in the Tibetan Plateau: An Innovative Method Based on Mixed Pixel Decomposition by Yuhang Jing, Zhenguo Niu

“…To address this, the present study proposes a dynamic endmember selection method based on phenological features, combined with mixed pixel decomposition techniques, to generate monthly water abundance maps of the Tibetan Plateau from 2000 to 2023. …”
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Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions by Xiaowei Shen, Haowen Hu, Zhongwang Wang, Xiuyun Chen, Chengbin Du

“…This paper presents a stochastic analysis method for linear elastic fracture mechanics using the Monte Carlo simulations (MCs) and the scaled boundary finite element method (SBFEM) based on proper orthogonal decomposition (POD) and radial basis functions (RBF). …”
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Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells by Fang Chen, Qing-Quan Liu

“…The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. …”
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Improved decomposition of cloud feedback and corresponding pattern change under uniform surface ocean warming: I. Anomalous mean method by Jing Feng, Jian Ma

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A Method for Determining Intrinsic Mode Function Number in Variational Mode Decomposition and Its Application to Bearing Vibration Signal Processing by Shoujun Wu, Fuzhou Feng, Junzhen Zhu, Chunzhi Wu, Guang Zhang

“…Variational mode decomposition (VMD) method has been widely used in the field of signal processing with significant advantages over other decomposition methods in eliminating modal aliasing and noise robustness. …”
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A Satellite Full-Waveform Laser Decomposition Method for Forested Areas Based on Hidden Peak Detection and Adaptive Genetic Optimization by Fangxv Zhang, Xiao Wang, Leiguang Wang, Fan Mo, Liping Zhao, Xiaomeng Yang, Xin Lv, Junfeng Xie

“…In the experimental validation, the proposed method outperformed the traditional methods in both waveform decomposition fitting accuracy and tree height extraction. …”
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Decomposition of Neutrosophic Zero-divisor graph by Balakrishnan A, Kanchana M, Said Broumi, Thirugnanasambandam K

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Approximate Solution of the Fractional Order Sterile Insect Technology Model via the Laplace–Adomian Decomposition Method for the Spread of Zika Virus Disease by William Atokolo, Remigius Okeke Aja, Stephen Ekwueme Aniaku, Ifeanyi Sunday Onah, Godwin C. E. Mbah

“…We employed the use Laplace–Adomian decomposition method (LADM) to determine an analytical (approximate) solution of the model. …”
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Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform by M. M. Khader, M. Adel, Mohammed Messaoudi

“…The study closely examines the effects of heat source terms and viscous forces on the development of the thermal boundary layer (BL) and how convective boundary conditions contribute to increased heat and mass transfer. The modified decomposition method (MDM) combines the Mohand transform and Adomian decomposition method (ADM) to solve complex equations numerically, yielding a convergent series solution. …”
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Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures by Andrianova Elena, Boldyrev Yury

“…The method is based on the SV-decomposition of the cross-spectral density matrix (CSDM) of the measured signals. …”
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Modeling tuberculosis transmission in environmental ecology incorporating vaccination and treatment effects via a fractional-order approach and the Laplace–Adomian decomposition me... by Morufu Oyedunsi OLAYIWOLA, Taye Azeez IYANDA, Adedapo Ismaila ALAJE, Akeem Olarewaju YUNUS

“…The memory effects are taken using fractional calculus and solutions obtained using La place-Adomian Decomposition Method (LADM) using semi-analytical solutions formula.The model emphasizes how human ecology reservoirs ensure transmissibility through simulating human ecology interactions with the environment. …”
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A novel method based on the SCNGO‐ICEEMDAN and MCNN‐BiLSTM model for fault diagnosis of motor bearings for more electric aircraft by Dongsheng Yuan, Feng Liu, Zhonggang Yin, Yanqing Zhang, Yanping Zhang, Peien Luo

“…In this article, a Northern Goshawk algorithm using a fusion subtraction optimiser and Cauchy strategy (SCNGO) is proposed to optimise the number of white noise additions and amplitude weights in the improved full set empirical mode decomposition method based on adaptive noise (ICEEMDAN). …”
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