Mul-material decomposition method for sandstone spectral CT images based on I-MultiEncFusion-Net by Yanfang Wu, Yanfang Wu, Yanfang Wu, Ran Zhang, Ran Zhang, Ran Zhang, Huihua Kong, Huihua Kong, Huihua Kong, Ping Chen, Ping Chen, Ping Chen, Yu Zou

“…The non-local feature extraction module constructs non-local neighborhood relationships and employs Euclidean distance metrics to extract global contextual features from images, thereby enhancing the material decomposition process. To further enhance model accuracy, the decoder computes Huber loss between each output and its corresponding label, while simultaneously incorporating correlations of base material images extracted by a High-Resolution Network (HRNet) as an auxiliary loss constraint for material decomposition. …”
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A Novel Method for Mechanical Fault Diagnosis Based on Variational Mode Decomposition and Multikernel Support Vector Machine by Zhongliang Lv, Baoping Tang, Yi Zhou, Chuande Zhou

“…A novel fault diagnosis method based on variational mode decomposition (VMD) and multikernel support vector machine (MKSVM) optimized by Immune Genetic Algorithm (IGA) is proposed to accurately and adaptively diagnose mechanical faults. …”
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Decomposition of Intensity and Sustainable Use Countermeasures for the Energy Resources of the Northwestern Five Provinces of China Using the Logarithmic Mean Divisia Index (LMDI) Method and Three Convergence Models by Zhenxu Zhang, Junsong Jia, Chenglin Zhong, Chengfang Lu, Min Ju

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Investigation and Determination of Kinetic Parameters of Sweeteners Based on Steviol Glycosides by Isoconversional Methods by Naienne da Silva Santana, Sergio Neves Monteiro, Tatiana Carestiato da Silva, Michelle Gonçalves Mothé

“…These parameters were assessed using the Friedman and Ozawa–Flynn–Wall isoconversion methods with the NETZSCH Kinetics Neo software and the Model Free package. …”
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Integrated Method of Future Capacity and RUL Prediction for Lithium‐Ion Batteries Based on CEEMD‐Transformer‐LSTM Model by Wangyang Hu, Chaolong Zhang, Laijin Luo, Shanhe Jiang

“…Considering nonlinear changes in the aging trajectory of lithium‐ion batteries, a method for predicting the RUL of lithium‐ion batteries was proposed in this study based on a complementary ensemble empirical mode decomposition (CEEMD) as well as transformer and long short‐term memory (LSTM) neural network dual‐drive machine learning model. …”
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Influence of Modal Decomposition Algorithms on Nonlinear Time Series Machine Learning Prediction Models in Engineering: A Case Study of Subway Tunnel Settlement by Qingmeng Shen, Yuming Wu, Limin Wan, Qian Chen, Yue Li, Zichao Liao, Wenbo Wang, Feng Li, Tao Li, Jiajun Shu

“…To overcome the problems of historical data interference and spatiotemporal characteristics in tunnel settlement prediction models, this paper proposes a tunnel settlement prediction method based on data decomposition, reconstruction, and optimization. …”
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Application of DTCWT Decomposition and Partial Differential Equation Denoising Methods in Remote Sensing Image Big Data Denoising and Reconstruction by Wei Zeng

“…To solve this problem, this research proposes an improved remote sensing image processing model, in which the dual tree complex wavelet transform (DTCWT) method is used to conduct multiscale decomposition of the impact, and the fourth-order differential equation is used to denoise the decomposed complex high-frequency subband information, and then the denoised subbands are reconstructed into the denoised image. …”
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AGE-STRUCTURED (SVEIHR) MODEL FOR DIPHTHERIA TRANSMISSION ANALYSIS by mutairu Kolawole, Oladele Ojo FADARA, kazeem Abidoye ODEYEMI

Subjects: “…age-structured modeling, basic reproduction number, stability analysis, treatment rate, laplace adomian decomposition method…”
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Two-stage photovoltaic power forecasting method with an optimized transformer by Yanhong Ma, Feng Li, Hong Zhang, Guoli Fu, Min Yi

“…To address the complex characteristics of nonlinearity, volatility, and periodicity, a novel two-stage PV forecasting method based on an optimized transformer architecture is proposed. …”
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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 proposed method divides the target into components at the stage of modeling. …”
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Calculation Models for Acoustic Analysis of St. Elizabeth of Hungary Church in Jaworzno Szczakowa by Krzysztof KOSAŁA

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A reduced simulation applied to viscoelastic fatigue of polymers using a time multi-scale approach based on partition of Unity method by Sebastian Rodriguez, Angelo Pasquale, Jad Mounayer, Diego Canales, Marianne Beringhier, Chady Ghnatios, Amine Ammar, Francisco Chinesta

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Application of the method of the analytical hierarchy process for assessing the synergetic efficiency of the project

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Classification and Recognition Method for Bearing Fault based on IFOA-SVM by Wei Zhang, Zhihua Ma

“…In order to identify the nonlinear classification of bearing fault features more accurately， a fault identification method based on IFOA-SVM is proposed. Firstly， the variational mode decomposition method is used to decompose the vibration signals of the bearing， and the fuzzy approximate entropy and energy entropy of the modal component is used to form fault characteristics. …”
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Reference modeling as a method for solving nonlinear problems by A. B. Cheboksarov, N. Yu. Botvineva, V. A. Cheboksarov, E. V. Polovinko

“…The obtained results of analysis and modeling allow us to confidently assess the reliability of the general ideas of the reference modeling method, its design scheme, as well as the convergence of its decompositions, the similarity criteria of the system under study and the selected model. …”
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Multiscale Damage Identification Method of Beam-Type Structures Based on Node Curvature by Kai Ye, Shubi Zhang, Qiuzhao Zhang, Rumian Zhong, Wenda Wang

“…Firstly, based on the assumption that micro-damage has little effect on stress redistribution and the basic relationship between structural bending moment and curvature, combined with the denoising function of wavelet analysis, the linear matrix equation before and after node curvature damage is solved using the singular value decomposition (SVD) method. Then, the theoretical feasibility of this method is verified with laboratory tests of a simply supported beam. …”
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Study on nonlinear asymmetric thermomechanical stability of microsize FGM curved beams based on nonlocal couple stress curvature sensitive model by Saeid Sahmani, Kamila Kotrasova, Muhammad Atif Shahzad, Veronika Valaskova, Mona Zareichian, Babak Safaei

“…To originate the numerical curvature sensitive model, the radial point interpolation meshfree technique is utilized embracing the variation of the nodal points density based upon the background decomposition method (BDM). …”
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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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Forecasting methods in Greek coastal shipping: The case of Southwest Crete by Ioannis Sitzimis

“…The results showed that in four of the six ports the Winters’ method is best adapted. The port of Gavdos adapts better to the decomposition method and the port of Sougia to Li’s method. …”
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Research on digital twin modeling method for combustion process based on model reduction by Yue Zhang, Jiale Li

“…In response to the difficulty in obtaining combustion information within coal-fired boiler furnaces, a method is proposed in this study to improve the reduced-order model using clustering segmentation. …”
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