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    Structural Damage Detection in the Wooden Bridge Using the Fourier Decomposition, Time Series Modeling and Machine Learning Methods by Younes Nouri, Farzad Shahabian, Hashem Shariatmadar, Alireza Entezami

    Published 2024-04-01
    “…In this article, a novel approach has been employed to identify structural damage in the wooden bridge structure by utilizing vibration data. This method encompasses the Fourier decomposition method that decompose the response of the bridge into a sequence of Fourier Intrinsic Band Functions (FIBF). …”
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    Article
  3. 23

    IMPLEMENTATION OF THE METHOD OF KINEMATIC DECOMPOSITION FOR CALCULATIONS IN NONLINEAR FORMULATION by E. K. Agakhanov, G. M. Kravchenko, L. N. Panasyuk, E. V. Trufanova

    Published 2016-07-01
    “…Method kinematic decomposition in a physically non-linear formulation of solid mechanics computations of the screw piles AKSIS taking into account soil models based on the hypothesis marginal surface of the Mises - Schleicher - Botkin.…”
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    On the strain energy decomposition in phase field brittle fracture: established models and novel cleavage plane-based techniques by Nour Habib, Saber El Arem, Amine Ammar

    Published 2025-04-01
    “…Central to our discussion is an in-depth analysis of strain energy decomposition methods integral to phase field models. …”
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    Article
  6. 26

    Probabilistic oil price forecasting with a variational mode decomposition-gated recurrent unit model incorporating pinball loss by Zhesen Cui, Tian Li, Zhe Ding, Xi'an Li, Jinran Wu

    Published 2025-09-01
    “…Thus far, we introduced a novel hybrid model to forecast future crude oil prices. Our approach leverages the variational mode decomposition (VMD) to simplify the complexity of the original time series, yielding a set of subseries. …”
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    Article
  7. 27

    A Short-Term Electricity Load Complementary Forecasting Method Based on Bi-Level Decomposition and Complexity Analysis by Xun Dou, Yu He

    Published 2025-03-01
    “…Therefore, this paper proposes a complementary forecasting method based on bi-level decomposition and complexity analysis. …”
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    Article
  8. 28

    Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods by Norhasimah Mahiddin, S. A. Hashim Ali

    Published 2014-01-01
    “…The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis. …”
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    Convolutive blind source separation method based on tensor decomposition by Baoze MA, Tianqi ZHANG, Zeliang AN, Pan DENG

    Published 2021-08-01
    “…A convolutive blind source separation algorithm was proposed based on tensor decomposition framework, to address the estimation of mixed filter matrix and the permutation alignment of frequency bin simultaneously.Firstly, the tensor models at all frequency bins were constructed according to the estimated autocorrelation matrix of the observed signals.Secondly, the factor matrix corresponding to each frequency bin was calculated by tensor decomposition technique as the estimated mixed filter matrix for that bin.Finally, a global optimal permutation strategy with power ratio as the permutation alignment measure was adopted to eliminate the permutation ambiguity in all the frequency bins.Experimental results demonstrate that the proposed method achieves better separation performance than other existing algorithms when dealing with convolutive mixed speech under different simulation conditions.…”
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    Article
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    Metasurface-Refractive Hybrid Lens Modeling with Vector Field Physical Optics by Ko-Han Shih, C. Kyle Renshaw

    Published 2025-04-01
    “…At the center of the proposed framework is the Gaussian decomposition method for modeling beam propagation through refractive optics. …”
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    Article
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    Decomposition and Conceptualization to Support System Dynamics Behavior Modeling by Fiona Tulinayo, Theo van der Weide, Patrick van Bommel

    Published 2018-07-01
    “…In this article, we use the decomposition mechanism to better conceptualize and understand the System Dynamics (SD) model behavior, and show how using a natural language based domain modeling method (Object-Role Modeling, ORM) helps in dealing with complex SD models. …”
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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

    Published 2015-01-01
    “…The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. …”
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    Comparison of the Atmospheric 200 hPa Jet’s Analyses between Proper Orthogonal Decomposition and Advanced Dynamic Mode Decomposition Method by Mei Gao, Xiao-Qun Cao, Bai-Nian Liu, Zi-Hang Han, Shi-Cheng Hou, Guo-Gui Yang

    Published 2020-01-01
    “…The dynamic mode decomposition method (DMD) is an effective technique to extract dynamic information from flow fields that is generated from direct experiment measurements or numerical simulation and has been broadly employed to study the dynamics of the flow, to achieve a reduced-order model (ROM) of the complex high dimensional flow field, and even to predict the evolution of the flow in a short time in the future. …”
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    Data-Driven Method of Modeling Sparse Flow Field Data by WANG Hongxin, XU Degang, ZHOU Kaiwen, LI Linwen, WEN Xin

    Published 2025-05-01
    “…In offline modeling, aimed at the high-dimensional challenge of the flow field, the eigenortho decomposition and other methods are used to reduce the dimensionality of the data and extract the spatial mode of the main flow field. …”
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    Adomian Decomposition and Variational Iteration Methods in the Context of Partial Differential Equations by Khadeejah James Audu, Lawrence Linus, Yusuph Amuda Yahaya, Sıkırulaı Akande

    Published 2025-06-01
    “…This paper aims to investigate two semianalytical techniques called the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM), how these methods can be used in practice, and to make a comparative study of the two methods for solving linear and nonlinear PDEs. …”
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    A Tensor-Based Go Decomposition Method for Hyperspectral Anomaly Detection by Meiping Song, Xiao Zhang, Lan Li, Hongju Cao, Haimo Bao

    Published 2025-01-01
    “…Specifically, the TGODEC-AD method combines the typical RX-AD and R-AD with the above decomposition result of the TGODEC model and constructs different modal operator detectors. …”
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