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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Evaluation and prediction of coal seam mining mode: Coefficient of Variation-TOPSIS and CNN-NGO methods by Haixiong Li, Fei Wang

“…This study explores and validates an integrated evaluation system that enhances the accuracy of predicting coal seam mining mode by comparing traditional evaluation methods with machine-learning techniques. …”
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Variations in Gut Microbiome Profiles Based on Different DNA Extraction Methods: A Comparative Study by Yameng Liu, Xianchun Zhong, Yibin Wang, Kanglong Wang, Cuina Li, Xinyu Liang, Suqin Lin, Ru Zhou, Cen Xie

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Enzyme sequence optimisation via Gromov-Wasserstein Autoencoders integrating MSA techniques by Xuze Wang, Yangyang Li, Xiancong Hou, Hao Liu

“…This study proposes an innovative approach by utilising a variational autoencoder (VAE) model integrated with the Gromov-Wasserstein (GW) distance for enzyme sequence optimisation. …”
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Boundary integral equation methods for Lipschitz domains in linear elasticity by Le Louër, Frédérique

“…A review of stable boundary integral equation methods for solving the Navier equation with either Dirichlet or Neumann boundary conditions in the exterior of a Lipschitz domain is presented. …”
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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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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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Integrating genome-wide genetic variations and monocyte expression data reveals trans-regulated gene modules in humans. by Maxime Rotival, Tanja Zeller, Philipp S Wild, Seraya Maouche, Silke Szymczak, Arne Schillert, Raphaele Castagné, Arne Deiseroth, Carole Proust, Jessy Brocheton, Tiphaine Godefroy, Claire Perret, Marine Germain, Medea Eleftheriadis, Christoph R Sinning, Renate B Schnabel, Edith Lubos, Karl J Lackner, Heidi Rossmann, Thomas Münzel, Augusto Rendon, Cardiogenics Consortium, Jeanette Erdmann, Panos Deloukas, Christian Hengstenberg, Patrick Diemert, Gilles Montalescot, Willem H Ouwehand, Nilesh J Samani, Heribert Schunkert, David-Alexandre Tregouet, Andreas Ziegler, Alison H Goodall, François Cambien, Laurence Tiret, Stefan Blankenberg

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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 Numerical Method Based on the Parametric Variational Principle for Simulating the Dynamic Behavior of the Pantograph-Catenary System by Dongdong He, Qiang Gao, Wanxie Zhong

“…Based on the finite element method (FEM), the parametric variational principle (PVP) is combined with a numerical time-domain integral method to simulate the dynamic behavior of the pantograph-catenary system. …”
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Methane Concentration Inversion Based on Multi-Feature Fusion and Stacking Integration by Yanling Han, Wei Li, Congqin Yi, Ge Song, Yun Zhang

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Testing life-cycle assessment data quality with Benford’s law reveals geographic variation by Bogdan Šinik, Aleksandar Tošić

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DESIGN OF EVACUATION EXITS IN ELLIPTICAL CORRIDOR TYPE BUILDINGS. CALCULATION ALGORITHM FOR WIDE CORRIDORS by Valery G. Shamonin, Alexey V. Golkin, Stanislav A. Zuev, Svetlana Yu. Khatuntseva, Petr A. Leonchuk

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Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology by Marwan Abukhaled

“…The variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. …”
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Novel cancer subtyping method guided by tumor-normal sample in latent space of transcriptomic variational autoencoder by Hongzhi Wang, Yu Zhang, Dandan Zhang, Min Luo

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Integration of FTIR Spectroscopy, Volatile Compound Profiling, and Chemometric Techniques for Advanced Geographical and Varietal Analysis of Moroccan Eucalyptus Essential Oils by Aimen El Orche, Abdennacer El Mrabet, Amal Ait Haj Said, Soumaya Mousannif, Omar Elhamdaoui, Siddique Akber Ansari, Hamad M. Alkahtani, Shoeb Anwar Ansari, Ibrahim Sbai El Otmani, Mustapha Bouatia

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The evaluation of a definite integral by the method of brackets illustrating its flexibility by Gonzalez Ivan, Santander John Lopez, Moll Victor H.

“…This article illustrates the method by evaluating an integral by several variations of the method. …”
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Integrating agent-based models and clustering methods for improving image segmentation by Erik Cuevas, Sonia Jazmín García-De-Lira, Cesar Rodolfo Ascencio-Piña, Marco Pérez-Cisneros, Sabrina Vega

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Study on the displacement and stress variation of frozen curtain during excavation of subway cross passage by Junhao Chen, Zebiao You, Jianlin Wang

“…Understanding the deformation behavior of the frozen curtain during excavation is crucial when employing artificial freezing methods in construction. This study uses indoor frozen soil experiments and numerical simulations to determine the compressive and flexural strengths of the frozen curtain, along with its displacement and stress variation patterns. …”
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Numerical Solutions of Advection Diffusion Equations Using Finite Element Method by Kassahun Getnet Mekonen, Zerihun Kinfe Birhanu

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