Variational Iteration Method for Volterra Functional Integrodifferential Equations with Vanishing Linear Delays by Ali Konuralp, H. Hilmi Sorkun

“…Application process of variational iteration method is presented in order to solve the Volterra functional integrodifferential equations which have multi terms and vanishing delays where the delay function θ(t) vanishes inside the integral limits such that θ(t)=qt for 0<q<1, t≥0. …”
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Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative by Yong-Ju Yang, Liu-Qing Hua

“…The method reduces the integral calculation of the usual variational iteration computations to more easily handled differential operation. …”
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Integrated omics profiling of individual variations in intestinal damage to the soybean allergen in piglets by Mengmeng Mi, Yaqing Zheng, Xin Fu, Nan Bao, Li Pan, Guixin Qin, Yuan Zhao

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A finite element method for exterior interface problems by R. C. Maccamy, S. P. Marin

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Development of a numerical method for solving optimization problems approximation of the function given approximately and its derivatives based on the variational approach by Igor Naats, Victoria Igorevna Naats, Elena Yartseva

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A Hybrid Model Integrating Variational Mode Decomposition and Intelligent Optimization for Vegetable Price Prediction by Gao Wang, Shuang Xu, Zixu Chen, Youzhu Li

“…This study proposes a hybrid forecasting model integrating variational mode decomposition (VMD), the Fruit Fly Optimization Algorithm (FOA), and a gated recurrent unit (GRU). …”
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Semi-supervised contrastive learning variational autoencoder Integrating single-cell multimodal mosaic datasets by Zihao Wang, Zeyu Wu, Minghua Deng

“…To address these challenges, we proposes a flexible integration framework based on Variational Autoencoder called scGCM. …”
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Spatial Variation of Hypsometric Analysis in Nerwa Watershed by Hozan Sadiq Mawlood

“…This study aims to highlight the spatial variation of the values of the hypometric curve and hypsometry integral in the Nirwa basin and its sub-watersheds, and to detect the correlation and the influence degree between the values and the factors influencing them, The importance of the study lies in the fact that it discusses the results of applying mathematical equations to account the values of the hypsometric analysis that indicate the percentage of remaining land masses and the general topographical characteristics of the basin and their exposure to erosion factors, indicating the results in percentage and supported by a graph. …”
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Frontal sinus variation in extant species of the genera Pan, Gorilla and Homo by Antoine Balzeau, Lou Albessard-Ball, Anna Maria Kubicka, Camille Noûs, Laura T. Buck

“…A simple and repeatable method is described here to quantify variation in the shape, size and bilateral variation of the frontal sinuses. …”
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Damage localization and rupture with gradient damage models by K. Pham, J.-J. Marigo

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Temporal evidence fusion evaluation method considering time sequence variation trend by Sunan Zhang, Yanxin Gao, Yuanchao Kou, Qichao Guo

“…Then, conflict information between evidence was interpreted as the temporal variation information of propositions. An evidence combination rule integrating temporal variation factors of propositions was proposed in this paper. …”
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SOME PROPERTIES OF THE VARIATIONAL PROBLEMS OF OPTIMAL CONTROL OF CONSUMPTION by Alla Yu. Meyerson, Alexander P. Chernyaev

“…ARTICLE RETRACTEDIn this paper we study the General patterns of models based on variational methods in various problems of optimal control of consumption: decisionmaking in the management of the household, as well as models of the economic dynamics of the Harrod–Domar and Solow. …”
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A Novel Variational Bayesian Method Based on Student’s <i>t</i> Noise for Underwater Localization by Haoqian Huang, Yutong Zhang, Chenhui Dong

“…In underwater environments, the presence of multipath effects can cause measurement outliers in acoustic sensors, leading to reduced estimation accuracy for integrated navigation. To address this issue, this paper proposes a sliding window variational Kalman filter based on Student’s <i>t</i>-distribution (SWVKF-ST) to improve state estimation accuracy. …”
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A novel unified variational finite difference (VFD) solution method for optimal control problems by Amir Norouzzadeh, Nader Nariman-zadeh, Reza Ansari

“…To do so, the general form of quadratic performance index function and nonlinear state equations are considered first. Then, the idea of variational differential quadrature method is used to convert the integral/differential equations to the equivalent algebraic form. …”
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Integrative Analysis of Transcriptomic and Metabolomic Profiles Uncovers the Mechanism of Color Variation in the Tea Plant Callus by Mengna Xiao, Yingju Tian, Ya Wang, Yunfang Guan, Ying Zhang, Yuan Zhang, Yanlan Tao, Zengquan Lan, Dexin Wang

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Diagnosis of abnormal sound in loudspeakers by integrated attention mechanism convolutional neural network by ZHOU Jinglei, WANG Xiaoming, LI Limin

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Robust Time-Series InSAR Deformation Monitoring by Integrating Variational Mode Decomposition and Gated Recurrent Units by Peifeng Ma, Zeyu Jiao, Zherong Wu

“…To address these issues, an integration method of variational mode decomposition and gated recurrent unit (VMD-GRU) is proposed in this study to enhance the robustness of continuous large-scale surface deformation monitoring. …”
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Robust adaptive non‐linear alignment algorithm for SINS/DVL integrated navigation system based on variational Bayesian by Bing Zhu, Jingshu Li, Guoheng Cui, Zuohu Li, Ge Tian, Xia Guo

“…To ensure the SINS/DVL alignment accuracy under non‐linear, non‐Gaussian and uncertain conditions, this paper proposed a robust adaptive unscented Kalman filter (UKF) based on Variational Bayesian (VB) method (VBRAUKF). The proposed VBRAUKF improves the adaptability and robustness of UKF from the following two main aspects. …”
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The integral equation methods for the perturbed Helmholtz eigenvalue problems by Abdessatar Khelifi

“…In this paper, we address the integral equation method in the evaluation of eigenfunctions and the corresponding eigenvalues of the two-dimensional Laplacian operator under boundary variations of the domain. …”
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Investigation of patterns of variation in water quality indicators of the Iset River with the use of neuronet methods by Oleg M. Rosenthal, Vladislav K. Fedotov