Data Augmentation and Second-Order Pooling for Facial Expression Recognition by Xiaoyun Tong, Songlin Sun, Meixia Fu

“…In the pooling layer of covariance, the Newton iteration method is used to approximate the square root instead of EIG or SVD, which makes it more suitable for GPU. …”
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Lubrication subjected to effects of electric and magnetic fields: recent research progress and a generalized MEMT-field Reynolds equation by Xiaoman Wang, Q. Jane Wang, Ning Ren, Roger England

“…Based on the current research progress in these fields and the classic generalized Reynolds equation, a generalized mechanical-electro-magnetic-thermal-field (MEMT-field) Reynolds equation is proposed to describe the aforementioned lubrication scenarios and the effects of coupled mechanical, electric, magnetic, and thermal fields, which can be solved with a numerical iteration method.…”
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An Enhanced Paradigm for Cognitive Cooperation Networks: Two-to-One Energy and Spectrum Dual-Cooperation by Zhihui Liu, Wenjun Xu, Junyi Wang, Tao Dong, Hongbing Qiu

“…To solve the problem effectively, the Lagrangian dual methods plus fixed-point iteration methods and semidefinite relation methods are employed, and the optimal solution could be achieved through iterative optimization. …”
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Probabilistic Energy Flow Analysis of MCE System Considering Various Coupling Units and the Uncertainty of Distribution Generators by Jiming Chen, Qianyu Yu, Qiying Li, Zhuoran Lin, Chaolin Li

“…The energy flow calculation method is composed of three-phase AC/DC alternating iteration method and improved Newton node mesh method considering the control mode of compressors. …”
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Conditioning Multi-Gaussian Groundwater Flow Parameters to Transient Hydraulic Head and Flowrate Data With Iterative Ensemble Smoothers: A Synthetic Case Study by Dan-Thuy Lam, Jaouher Kerrou, Philippe Renard, Hakim Benabderrahmane, Pierre Perrochet

“…To handle existing non-linearities between the observations and the variables to estimate, iterative methods have been proposed. In this paper, we investigate the feasibility of using the ensemble smoother and two iterative variants for the calibration of a synthetic 2D groundwater model inspired by a real nuclear storage problem in France. …”
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Research on the Combustion Characteristics of a Free-Piston Gasoline Engine Linear Generator during the Stable Generating Process by Yuxi Miao, Zhengxing Zuo, Huihua Feng, Chendong Guo, Yu Song, Boru Jia, Yuyao Guo

“…In this paper, the combustion characteristics during the stable generating process of a FPGLG were presented using a numerical iteration method, which coupled a zero-dimensional piston dynamic model and a three-dimensional scavenging model with the combustion process simulation. …”
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A Novel Multi-Directional Partitioning Method for Support-Free 3D Printing of Inner Runner Structural Components by Quan Wen, Yuanyuan Bin, Hualong Xie, Jianyu Yang

“…A key algorithm for calculating partitioning planes for inner runner structures is also proposed and introduced in detail, including the iteration method, the calculation for intersectional profile mass centers, and the discussion of the convergence. …”
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Research on prediction of critical pressure of FGM cylindrical shells under hydrostatic pressure based on homogenization transformation method by Xiao Min Liu, Meng Yang, Rong Li, Bin Liang

“…The natural frequency of the FGM cylindrical shell under hydrostatic pressure is obtained using the Newton iteration method. Based on the linear correlation between critical load and load level with zero natural frequency, the fitting curve method and the formula method after homogenization transformation are used to predict and analyze the critical pressure of FGM cylindrical shells under hydrostatic pressure. …”
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Stochastic Steady-State Security Assessment for Power System Operation by Chance Constrained Optimal Power Flow-Based Load Shedding by Xinyu Zhou, Yingying Jiang, Chen Yang, Dan Xu, Junjie Tang, Kaigui Xie

“…Moreover, the proposed model is very practical and can be solved much efficiently by an iteration method so that the purpose of secure system operation after contingency can be better realized. …”
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Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy by Haoran Wang, Chunge Wang, Muyu Li, Rui Ma, Jun Zhao

“…The parameters in the above two modified constitutive equation were solved by combining regression analysis with iterative methods, which was used instead on the traditional linear regression methods. …”
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CHANGE DETECTION IN HIGH-RESOLUTION REMOTE SENSING IMAGES USING LEVENE-TEST AND FUZZY EVALUATION by G. H. Wang, G. H. Wang, H. B. Wang, W. F. Fan, Y. Liu, H. J. Liu

“…Eventually, the threshold was confirmed by an iteration method, the subject degrees of candidate changed regions were calculated, and final change regions were determined. …”
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Large displacement static analysis of a cantilever Timoshenko beam composed of functionally graded material by Kocatürk Turgut, Şimşek Mesut, Akbaş Şeref Doğuşcan

“…The non-linear problem is solved by using the incremental displacement-based finite element method in conjunction with the Newton-Raphson iteration method. To use the solution procedures of the Newton-Raphson method, there is a need to linearize equilibrium equations, which can be achieved through the linearization of the principle of virtual work. …”
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Iterative automatic global registration algorithm for multi-view point cloud of underground tunnel space by Ming Guo, Bingnan Yan, Guoli Wang, Pingjun Nie, Deng Pan, Kecai Guo, Yunming Liu

“…The observation values are weighted by the selection weight iteration method and the weights are constantly modified in the iteration process until the threshold conditions are met and the iteration stops. …”
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Initial orbit determination of BDS-3 satellites based on new code signals by Fei Ye, Yunbin Yuan, Jikun Ou

“…Compared with the Newton iteration method, which relies on the initial value, this study utilizes the Bancroft algorithm to directly solve the nonlinear equations with the advantage of numerical stability. …”
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Analysis of underwater radiation sound power of air cushion vehicle under cushion pressure by Ruikun SHENG, Jianhui HU, Deqing YANG

“…First, the forming process of the skirt under cushion pressure is simulated according to the Newton–Raphson iteration method. Second, a numerical model considering skirt-air cushion-water coupling is established via the vibro-acoustic finite element method (FEM) and calibrated based on modal tests. …”
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Application of a Three-Stage Procedure for Extracting a Small-Sized Anchor Object on a Noisy Image by Sotnikov O.M., Vorobiov O.M., Udovenko S.G., Kobzev I.V., Vlasiuk V.V., Kurbatov A.A.

“…It is proposed to refine the maximum of the decision function based on the iteration method. The most significant results are the obtained dependences of the probability of choosing a fragment of the reference image on the threshold value and the signal-to-noise ratio, as well as the analytical relation for the asymptote of this dependence. …”
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NUMERICAL SOLUTION OF INVERSE PROBLEMS IN MATHEMATICAL MODELING OF GEOLOGICAL SYSTEMS by Elena O. Tarasenko, Andrey V. Gladkov

“…The main aim of the research is analytical and numerical modeling of the solution of inverse problems in geological systems when compacting loesses by deep explosions. Methods: iterative methods for solving problems, methods of computer modeling in the study of geological systems, conclusion statistics. …”
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A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows by Furkan Oz, Kursat Kara

“…The fourth-order Runge–Kutta method is used for the numerical discretization, and Newton’s iteration method is employed to calculate the missing boundary condition. …”
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Geo-resistivity data set for groundwater aquifer exploration in the basement complex terrain of Nigeria, West Africa by Wasiu Olanrewaju Raji, Kamil A. Abdulkadir

“…The data acquired were processed, analysed and interpreted using auxiliary curve matching techniques and computer iteration method. The results were used to: evaluate the subsurface in terms of the different geo-electric layers, their thicknesses, depths, and resistivities; evaluate the groundwater potential of the aquifer; identify suitable sites for locating boreholes for groundwater exploitation; and recommend depths to borehole bottom in the different parts of the study area. …”
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Optimizing Iterative Data-Flow Scientific Applications Using Directed Cyclic Graphs by David Alvarez, Vicenc Beltran

“…At the same time, many HPC applications implement iterative methods or multi-step simulations that create the same directed acyclic graphs of tasks on each iteration. …”
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