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Journal articles on the topic 'Method of differential evolution'

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1

Kamiyama, Daichi, Kenichi Tamura, and Keiichiro Yasuda. "Down-hill Simplex Method Based Differential Evolution." IEEJ Transactions on Electronics, Information and Systems 130, no. 7 (2010): 1271–72. http://dx.doi.org/10.1541/ieejeiss.130.1271.

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2

Phuong, Phan Thi Thu, Hoang Van Lai, and Bui Dinh Tri. "Reservoir optimization with differential evolution." Vietnam Journal of Mechanics 38, no. 1 (2016): 39–48. http://dx.doi.org/10.15625/0866-7136/38/1/6490.

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Reservoir optimization, is one of recent problems, which has been researched by several methods such as Linear Programming (LP), Non-linear Programming (NLP), Genetic Algorithm (GA), and Dynamic Programming (DP). Differential Evolution (DE), a method in GA group, is recently applied in many fields, especially water management. This method is an improved variant of GA to converge and reach to the optimal solution faster than the traditional GA. It is also capable to apply for a wide range space, to a problem with complex, discontinuous, undifferential optimal function. Furthermore, this method
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3

Yamaguchi, Satoshi. "An Automatic Control Parameters Tuning Method for Differential Evolution." IEEJ Transactions on Electronics, Information and Systems 128, no. 11 (2008): 1696–703. http://dx.doi.org/10.1541/ieejeiss.128.1696.

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4

Petrus, Setyo Prabowo, and Mungkasi Sudi. "A multistage successive approximation method for Riccati differential equations." Bulletin of Electrical Engineering and Informatics 10, no. 3 (2021): pp. 1589~1597. https://doi.org/10.11591/eei.v10i3.3043.

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Riccati differential equations have played important roles in the theory and practice of control systems engineering. Our goal in this paper is to propose a new multistage successive approximation method for solving Riccati differential equations. The multistage successive approximation method is derived from an existing piecewise variational iteration method for solving Riccati differential equations. The multistage successive approximation method is simpler in terms of computing implementation in comparison with the existing piecewise variational iteration method. Computational tests show th
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5

Cui, Laizhong, Genghui Li, Zexuan Zhu, Zhenkun Wen, Nan Lu, and Jian Lu. "A novel differential evolution algorithm with a self-adaptation parameter control method by differential evolution." Soft Computing 22, no. 18 (2017): 6171–90. http://dx.doi.org/10.1007/s00500-017-2685-5.

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6

Kim, Gwangseob, Hyungon Cho, and Jaeeung Yi. "Parameter Estimation of the Neyman-Scott Rectangular Pulse Model Using a Differential Evolution Method." Journal of Korean Society of Hazard Mitigation 12, no. 4 (2012): 187–94. http://dx.doi.org/10.9798/kosham.2012.12.4.187.

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7

Chen, Yue Ping, Long Jin, Shu Ping Li, Shi Liu Song, and Yan Liang. "Evaluation of Sphericity Error Using Differential Evolution Method." Applied Mechanics and Materials 423-426 (September 2013): 2132–35. http://dx.doi.org/10.4028/www.scientific.net/amm.423-426.2132.

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The mathematical model of sphericity error under the condition of minimum zone is derived. An algorithm based on the differential evolution (DE) is proposed to evaluate the sphericity error. Its principle and realization approach are discussed to solve the minimum zone sphericity error. The proposed method was verified by an example. Compared with other methods, the results show that the proposed method makes the sphericity error evaluation more accurate.
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8

Al-Obeidat, Feras, Nabil Belacel, Juan A. Carretero, and Prabhat Mahanti. "Differential Evolution for learning the classification method PROAFTN." Knowledge-Based Systems 23, no. 5 (2010): 418–26. http://dx.doi.org/10.1016/j.knosys.2010.02.003.

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9

Thuy, Ngo Thi Phuong, Rajashekhar Pendyala, Nejat Rahmanian, and Narahari Marneni. "Heat Exchanger Network Optimization by Differential Evolution Method." Applied Mechanics and Materials 564 (June 2014): 292–97. http://dx.doi.org/10.4028/www.scientific.net/amm.564.292.

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The synthesis of heat exchanger network (HEN) is a comprehensive approach to optimize energy utilization in process industry. Recent developments in HEN synthesis (HENS) present several heuristic methods, such as Simulated Annealing (SA), Genetic Algorithm (GA), and Differential Evolution (DE). In this work, DE method for synthesis and optimization of HEN has been presented. Using DE combined with the concept of super-targeting, the optimization is determined. Then DE algorithm is employed to optimize the global cost function including the constraints, such as heat balance, the temperatures of
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10

Charilogis, Vasileios, and Ioannis G. Tsoulos. "A Parallel Implementation of the Differential Evolution Method." Analytics 2, no. 1 (2023): 17–30. http://dx.doi.org/10.3390/analytics2010002.

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Global optimization is a widely used technique that finds application in many sciences such as physics, economics, medicine, etc., and with many extensions, for example, in the area of machine learning. However, in many cases, global minimization techniques require a high computational time and, for this reason, parallel computational approaches should be used. In this paper, a new parallel global optimization technique based on the differential evolutionary method is proposed. This new technique uses a series of independent parallel computing units that periodically exchange the best solution
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11

Li, Xiangtao, and Minghao Yin. "Modified differential evolution with self-adaptive parameters method." Journal of Combinatorial Optimization 31, no. 2 (2014): 546–76. http://dx.doi.org/10.1007/s10878-014-9773-6.

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12

Locatelli, Marco, and Massimiliano Vasile. "(Non) convergence results for the differential evolution method." Optimization Letters 9, no. 3 (2014): 413–25. http://dx.doi.org/10.1007/s11590-014-0816-9.

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13

Li, Jiang. "Evaluation method based on neural network differential evolution." Cluster Computing 22, S2 (2018): 4869–75. http://dx.doi.org/10.1007/s10586-018-2409-3.

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14

Charilogis, Vasileios, Ioannis G. Tsoulos, Alexandros Tzallas, and Evangelos Karvounis. "Modifications for the Differential Evolution Algorithm." Symmetry 14, no. 3 (2022): 447. http://dx.doi.org/10.3390/sym14030447.

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Differential Evolution (DE) is a method of optimization used in symmetrical optimization problems and also in problems that are not even continuous, and are noisy and change over time. DE optimizes a problem with a population of candidate solutions and creates new candidate solutions per generation in combination with existing rules according to discriminatory rules. The present work proposes two variations for this method. The first significantly improves the termination of the method by proposing an asymptotic termination rule, which is based on the differentiation of the average of the func
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15

Wang, Dong Xia, Ai Guo Song, Xiu Lan Wen, and Feng Lin Wang. "Circularity Error Evaluation Based on Differential Evolution Algorithm." Applied Mechanics and Materials 143-144 (December 2011): 416–21. http://dx.doi.org/10.4028/www.scientific.net/amm.143-144.416.

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An algorithm based on the differential evolutionary (DE) computation is proposed to evaluate circularity error. It is a heuristic evolutionary algorithm based on population optimization .In the meantime, the suggested method is used to solve the minimum zone circularity error. Compared with other methods, the results show the presented method has very strong self-adaptive ability to environment and better global convergence. Examples proves that the proposed method is effective, convergence and robustness in the process of optimization. And this method makes the circularity error evaluation mo
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16

Mao Yanjie, 茅言杰, 李思坤 Li Sikun, 王向朝 Wang Xiangzhao, and 韦亚一 Wei Yayi. "Lithographic Tool-Matching Method Based on Differential Evolution Algorithm." Acta Optica Sinica 39, no. 12 (2019): 1222002. http://dx.doi.org/10.3788/aos201939.1222002.

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17

Li, Hong-wei, Jun Wang, and Hai-tao Wang. "A New Particle Filter Based on Differential Evolution Method." Journal of Electronics & Information Technology 33, no. 7 (2011): 1639–43. http://dx.doi.org/10.3724/sp.j.1146.2010.01212.

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18

Wang, Kai, and Zhihua Hu. "Research on Model Optimization Method Based on Differential Evolution." Advances in Engineering Technology Research 10, no. 1 (2024): 217. http://dx.doi.org/10.56028/aetr.10.1.217.2024.

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Nowadays, industrial upgrading and transformation continues to deepen, based on the deep neural network model of the integration of the advantages of the application is more and more prominent. Rolling bearings can not be ignored as the existence of mechanical equipment. A convolutional neural network parameter optimization algorithm based on differential evolution is proposed. The loss function of the fault diagnosis model is taken as the objective function of the optimization algorithm, and the optimization model is mainly aimed at optimizing the training parameters such as the number of con
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19

Zheng, Yu-Jun, Xin-Li Xu, Hai-Feng Ling, and Sheng-Yong Chen. "A hybrid fireworks optimization method with differential evolution operators." Neurocomputing 148 (January 2015): 75–82. http://dx.doi.org/10.1016/j.neucom.2012.08.075.

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20

Xie, Wei-Cheng, and Xiu-Fen Zou. "A triangulation-based hole patching method using differential evolution." Computer-Aided Design 45, no. 12 (2013): 1651–64. http://dx.doi.org/10.1016/j.cad.2013.08.003.

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21

Santosa, Budi, Andiek Sunarto, and Arief Rahman. "Using Differential Evolution Method to Solve Crew Rostering Problem." Applied Mathematics 01, no. 04 (2010): 316–25. http://dx.doi.org/10.4236/am.2010.14042.

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22

Fokas, A. S. "A new transform method for evolution partial differential equations." IMA Journal of Applied Mathematics 67, no. 6 (2002): 559–90. http://dx.doi.org/10.1093/imamat/67.6.559.

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23

Yamaguchi, Satoshi. "An automatic control parameter tuning method for differential evolution." Electrical Engineering in Japan 174, no. 3 (2010): 25–33. http://dx.doi.org/10.1002/eej.21047.

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24

Zhang, Xudong, You Yang, Xiang Zhang, Kangyou Dou, Yaru Dang, and Pengfei Zhang. "Push Force Analysis Optimization Based on Differential Evolution Method." Academic Journal of Science and Technology 14, no. 3 (2025): 85–90. https://doi.org/10.54097/b3drmf03.

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This paper conducts an in-depth structural optimization study on the actuator of the push-off type rotary steering drilling tool based on the differential evolution method. By using the "force synthesis model" and through systematic sensitivity analysis and intelligent optimization algorithms, the influence laws of key operating parameters on the push-off force are revealed, and the design scheme of the actuator is successfully optimized. The research results show that: In the stable stationary state: when the high-pressure hole angle is set to 90°, the turntable speed is 200 r/min, and the os
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25

Lýsek, J., and J. Šťastný. "Automatic discovery of the regression model by the means of grammatical and differential evolution ." Agricultural Economics (Zemědělská ekonomika) 60, No. 12 (2014): 546–52. http://dx.doi.org/10.17221/160/2014-agricecon.

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In the contribution, there is discussed the usage of the method based on the grammatical and differential evolution for the automatic discovery of regression models for discrete datasets. The combination of these two methods enables the process to find the precise structure of the mathematical model and values for the model constants separately. The used method is described and tested on the selected regression examples. The results are reported and the obtained mathematical models are presented. The advantages of the selected approach are described and compared to the classical methods.
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26

Mex, L., Carlos A. Cruz-Villar, and F. Peñuñuri. "Closed-Form Solutions to Differential Equations via Differential Evolution." Discrete Dynamics in Nature and Society 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/910316.

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We focus on solving ordinary differential equations using the evolutionary algorithm known as differential evolution (DE). The main purpose is to obtain a closed-form solution to differential equations. To solve the problem at hand, three steps are proposed. First, the problem is stated as an optimization problem where the independent variables areelementaryfunctions. Second, as the domain of DE is real numbers, we propose a grammar that assigns numbers to functions. Third, to avoid truncation and subtractive cancellation errors, to increase the efficiency of the calculation of derivatives, th
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27

Mohammed, Maha A., and Luma N. M. Tawfiq. "New accurate method for solving fourth order two-dimension evolution equations." Journal of Interdisciplinary Mathematics 28, no. 3-B (2025): 1269–76. https://doi.org/10.47974/jim-2217.

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In this article, a 4th order non-linear two-dimension evolution equation as a kind of partial differential equations and its reduction is studied and solved by efficient approach to get exact solution. This type of differential equations represents mathematical models of various physical phenomena in the real world. The authors reduced the order of partial differential equation by using inverse operator for the linear partial derivative with respect to the time independent variable. Then the unknown dependent function u can be expressed as infinite series. Two illustrated examples are introduc
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28

Koguma, Yuji, and Eitaro Aiyoshi. "Search Points Distribution Analysis for Differential Evolution Based on Maximum Entropy Method." IEEJ Transactions on Electronics, Information and Systems 134, no. 9 (2014): 1341–47. http://dx.doi.org/10.1541/ieejeiss.134.1341.

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29

SIRENDAOREJI and SUN JIONG. "AUXILIARY EQUATION METHOD AND ITS APPLICATIONS TO NONLINEAR EVOLUTION EQUATIONS." International Journal of Modern Physics C 14, no. 08 (2003): 1075–85. http://dx.doi.org/10.1142/s0129183103005200.

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By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.
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30

Kukushkin, Maksim V. "Evolution Equations in Hilbert Spaces via the Lacunae Method." Fractal and Fractional 6, no. 5 (2022): 229. http://dx.doi.org/10.3390/fractalfract6050229.

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In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation. We establish the method that allows us to formulate the existence and uniqueness theorem and find a solution in the form of a series on the root vectors of the right-hand side. We consider fractional differential equations of various kinds as an application. Such operators as the Riemann-Liouville fractional differential operator, the Riesz potential, the difference operator have been involved.
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31

Satish, Gajawada, and Toshniwal Durga. "Vinayaka : A Semi-Supervised Projected Clustering Method Using Differential Evolution." International Journal of Software Engineering & Applications (IJSEA) 3, no. 4 (2020): 77–85. https://doi.org/10.5281/zenodo.4033890.

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Differential Evolution (DE) is an algorithm for evolutionary optimization. Clustering problems have been solved by using DE based clustering methods but these methods may fail to find clusters hidden in subspaces of high dimensional datasets. Subspace and projected clustering methods have been proposed in literature to find subspace clusters that are present in subspaces of dataset. In this paper we propose VINAYAKA, a semi-supervised projected clustering method based on DE. In this method DE optimizes a hybrid cluster validation index. Subspace Clustering Quality Estimate index (SCQE index) i
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32

Wang, Xiaoming, Shehbaz Ahmad Javed, Abdul Majeed, Mohsin Kamran, and Muhammad Abbas. "Investigation of Exact Solutions of Nonlinear Evolution Equations Using Unified Method." Mathematics 10, no. 16 (2022): 2996. http://dx.doi.org/10.3390/math10162996.

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In this article, an analytical technique based on unified method is applied to investigate the exact solutions of non-linear homogeneous evolution partial differential equations. These partial differential equations are reduced to ordinary differential equations using different traveling wave transformations, and exact solutions in rational and polynomial forms are obtained. The obtained solutions are presented in the form of 2D and 3D graphics to study the behavior of the analytical solution by setting out the values of suitable parameters. The acquired results reveal that the unified method
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33

Jena, Prabir Kumar, Dhirendra Nath Thatoi, and Dayal R. Parhi. "Differential Evolution: An Inverse Approach for Crack Detection." Advances in Acoustics and Vibration 2013 (November 13, 2013): 1–10. http://dx.doi.org/10.1155/2013/321931.

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This paper presents a damage detection technique combining analytical and experimental investigations on a cantilever aluminium alloy beam with a transverse surface crack. Firstly, the first three natural frequencies were determined using analytical methods based on strain energy release rate. Secondly, an experimental method was adopted to validate the theoretical findings. The damage location and severity assessment is the third stage and is formulated as a constrained optimisation problem and solved using the proposed differential evolution (DE) algorithm based on the measured and calculate
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34

Sun, Peng, Ming Wu Luo, and Chao Xia Sun. "Enchanted Multi-Objective Differential Evolutional Algorithm for Economic/Environmental Dispatch." Advanced Materials Research 960-961 (June 2014): 1494–500. http://dx.doi.org/10.4028/www.scientific.net/amr.960-961.1494.

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An enchanted multi-objective differential evolutional algorithm was proposed, and was applied to solve the environmental economic dispatch problem. Duo to the weakness of random initial population, the orthogonal method was used in the initialization. Based on survival of the fittest, improved differential operation was proposed, combined with the corresponding parameters control method proposed. With the combination of B-coefficient method and restrain dominance, the process of solving equation and selection operation were used to make the individuals meet the equality constrain. Then the alg
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35

Arora, Geeta, and Pratiksha. "A Cumulative Study on Differential Transform Method." International Journal of Mathematical, Engineering and Management Sciences 4, no. 1 (2019): 170–81. http://dx.doi.org/10.33889/ijmems.2019.4.1-015.

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Many real-world phenomena when modelled as a differential equation don't generally have exact solutions, so their numerical or analytic solutions are sought after. Differential transform method (DTM) is one of the analytical methods that gives the solution in the form of a power series. In this paper, a cumulative study is done on DTM and its evolution as an effective method to solve the gamut of differential equations.
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36

Yi, Wenchao, Zhilei Lin, Youbin Lin, Shusheng Xiong, Zitao Yu, and Yong Chen. "Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution." Mathematics 11, no. 5 (2023): 1250. http://dx.doi.org/10.3390/math11051250.

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The optimal power flow problem is one of the most widely used problems in power system optimizations, which are multi-modal, non-linear, and constrained optimization problems. Effective constrained optimization methods can be considered in tackling the optimal power flow problems. In this paper, an ϵ-constrained method-based adaptive differential evolution is proposed to solve the optimal power flow problems. The ϵ-constrained method is improved to tackle the constraints, and a p-best selection method based on the constraint violation is implemented in the adaptive differential evolution. The
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37

Khanum, Rashida Adeeb, Muhammad Asif Jan, Nasser Mansoor Tairan, and Wali Khan Mashwani. "Hybridization of Adaptive Differential Evolution with an Expensive Local Search Method." Journal of Optimization 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/3260940.

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Differential evolution (DE) is an effective and efficient heuristic for global optimization problems. However, it faces difficulty in exploiting the local region around the approximate solution. To handle this issue, local search (LS) techniques could be hybridized with DE to improve its local search capability. In this work, we hybridize an updated version of DE, adaptive differential evolution with optional external archive (JADE) with an expensive LS method, Broydon-Fletcher-Goldfarb-Shano (BFGS) for solving continuous unconstrained global optimization problems. The new hybrid algorithm is
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38

Zhang, Xin, and Xiu Zhang. "Improving differential evolution by differential vector archive and hybrid repair method for global optimization." Soft Computing 21, no. 23 (2016): 7107–16. http://dx.doi.org/10.1007/s00500-016-2253-4.

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39

Febrianti, Werry, Kuntjoro Adji Sidarto, and Novriana Sumarti. "An Approximate Optimization Method for Solving Stiff Ordinary Differential Equations With Combinational Mutation Strategy of Differential Evolution Algorithm." MENDEL 28, no. 2 (2022): 54–61. http://dx.doi.org/10.13164/mendel.2022.2.054.

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This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations. We use the weighted residual method with a series expansion to approximate the solutions of stiff ordinary differential equations. We solve the problems from an ordinary stiff differential equation for linear and nonlinear problems. Then, we also implement our method for solving stiff systems of ordinary differential equations. We find that our algorithm can approximate the exact solution of a stiff ordinary differential equation with the
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40

Al-Jadir, Ibraheem, Kok Wai Wong, Chun Che Fung, and Hong Xie. "Unsupervised Text Feature Selection Using Memetic Dichotomous Differential Evolution." Algorithms 13, no. 6 (2020): 131. http://dx.doi.org/10.3390/a13060131.

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Feature Selection (FS) methods have been studied extensively in the literature, and there are a crucial component in machine learning techniques. However, unsupervised text feature selection has not been well studied in document clustering problems. Feature selection could be modelled as an optimization problem due to the large number of possible solutions that might be valid. In this paper, a memetic method that combines Differential Evolution (DE) with Simulated Annealing (SA) for unsupervised FS was proposed. Due to the use of only two values indicating the existence or absence of the featu
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41

Fitriani, Maulida Ayu, Aina Musdholifah, and Sri Hartati. "Adaptive Unified Differential Evolution for Clustering." IJCCS (Indonesian Journal of Computing and Cybernetics Systems) 12, no. 1 (2018): 53. http://dx.doi.org/10.22146/ijccs.27871.

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Various clustering methods to obtain optimal information continues to evolve one of its development is Evolutionary Algorithm (EA). Adaptive Unified Differential Evolution (AuDE), is the development of Differential Evolution (DE) which is one of the EA techniques. AuDE has self adaptive scale factor control parameters (F) and crossover-rate (Cr).. It also has a single mutation strategy that represents the most commonly used standard mutation strategies from previous studies.The AuDE clustering method was tested using 4 datasets. Silhouette Index and CS Measure is a fitness function used as a m
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42

Jin, Long, Yue Ping Chen, Hai Yan Lu, Shu Ping Li, and Yi Chen. "Roundness Error Evaluation Based on Differential Evolution Algorithm." Applied Mechanics and Materials 670-671 (October 2014): 1285–89. http://dx.doi.org/10.4028/www.scientific.net/amm.670-671.1285.

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A new approach for roundness (circularity) error evaluation based on the differential evolution (DE) algorithm is proposed.The mathematical model of the roundness error under the condition of the minimum zone is derived. The background and advantages of DE are introduced, the fundamentals and implementation techniques are also given.The approach is verified by two examples.Compared with other methods, the results show that the proposed method makes the roundness error evaluation more accurate.
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43

Chen, Lin, Rong Sheng Lu, Yan Qiong Shi, and Jian Sheng Tian. "A Differential Evolution Stereo Matching Method in Digital Image Correlation." Key Engineering Materials 625 (August 2014): 297–304. http://dx.doi.org/10.4028/www.scientific.net/kem.625.297.

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Stereo matching is widely used in three-dimensional (3D) reconstruction, stereo machine vision and digital image correlation. The aim of stereo matching process is to solve the well-known correspondence problem, which tries to match points or features from one image with the same points or features in another image from the same 3D scene. There are two basic ways, correlation-based and feature-based, are used to find the correspondences between two images. The correlation-based way is to determine if one location in one image looks/seems like another in another image, and the feature-based way
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44

Gajawada, Satish. "Vinayaka : A Semi-Supervised Projected Clustering Method Using Differential Evolution." International Journal of Software Engineering & Applications 3, no. 4 (2012): 77–85. http://dx.doi.org/10.5121/ijsea.2012.3406.

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45

Leon, Miguel, and Ning Xiong. "Adaptive differential evolution with a new joint parameter adaptation method." Soft Computing 24, no. 17 (2020): 12801–19. http://dx.doi.org/10.1007/s00500-020-05182-2.

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46

Ding, Hui, Guangyao Sun, Lijuan Hao, Bin Wu, and Yican Wu. "A loading pattern optimization method based on discrete differential evolution." Annals of Nuclear Energy 137 (March 2020): 107057. http://dx.doi.org/10.1016/j.anucene.2019.107057.

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47

Zhang, Yun, Meng Li, and Yang Hu. "Model-based Balancing Method of Rotors using Differential Evolution Algorithm." IOP Conference Series: Materials Science and Engineering 751 (February 7, 2020): 012046. http://dx.doi.org/10.1088/1757-899x/751/1/012046.

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48

Alotto, Piergiorgio. "A hybrid multiobjective differential evolution method for electromagnetic device optimization." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 30, no. 6 (2011): 1815–28. http://dx.doi.org/10.1108/03321641111168129.

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49

Zubelevich, O. "Majorant Method for the Evolution Differential Equations in Sequence Spaces." Mathematical Notes 103, no. 3-4 (2018): 565–82. http://dx.doi.org/10.1134/s0001434618030239.

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50

Gong, Wenyin, Zhihua Cai, and Liangxiao Jiang. "Enhancing the performance of differential evolution using orthogonal design method." Applied Mathematics and Computation 206, no. 1 (2008): 56–69. http://dx.doi.org/10.1016/j.amc.2008.08.053.

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