Cooperative Quantum-Behaved Particle Swarm Optimization with Dynamic Varying Search Areas and Lévy Flight Disturbance by Desheng Li

“…On the other hand, in order to escape the local optima, Lévy flights are used to generate the stochastic disturbance in the movement of particles. …”
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Cuckoo Search with Lévy Flights for Weighted Bayesian Energy Functional Optimization in Global-Support Curve Data Fitting by Akemi Gálvez, Andrés Iglesias, Luis Cabellos

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Research on inverse solution of shotcrete manipulators based on an improved bee colony algorithm by CHEN Hetian, CHENG Wenming, DU Run, ZHANG Zhipeng

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Efficient multiplayer battle game optimizer for numerical optimization and adversarial robust neural architecture search by Rui Zhong, Yuefeng Xu, Chao Zhang, Jun Yu

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A Swarm Robotic Exploration Strategy Based on an Improved Random Walk Method by Bao Pang, Yong Song, Chengjin Zhang, Hongling Wang, Runtao Yang

“…The random walk methods that are used most commonly are Brownian motion and Lévy flight, both of which mimic the self-organized behavior of social insects. …”
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Modified Whale Optimization Algorithm for Solar Cell and PV Module Parameter Identification by Xiaojia Ye, Wei Liu, Hong Li, Mingjing Wang, Chen Chi, Guoxi Liang, Huiling Chen, Hailong Huang

“…In order to better balance the exploration and exploitation of WOA, we propose a novel modified WOA (MWOA) in which both the mutation strategy based on Levy flight and a local search mechanism of pattern search are introduced. …”
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Bearing Fault Classification Using Improved Antlion Optimizer and Extreme Learning Machine by Zhuanzhe Zhao, Yu Zhang, Qiang Ma, Yujian Rui, Guowen Ye, Mengxian Wang, Yongming Liu, Zhen Zhang, Neng Wei, Zhijian Tu

“…In view of the stagnation of iteration, Lévy flight strategy is introduced and the adaptive change of disturbance step length is controlled. …”
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Research on maximum power point tracking of photovoltaic power generation based on improved hybrid optimization algorithm by Liming Wei, Yuan Li

“…Meanwhile, introducing the gravitational constant into the GSA algorithm accomplishes the dynamic adjustment of the three key parameters in PSO. Furthermore, the Levy flight step is incorporated to enhance the global search capability. …”
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Cloud Model Bat Algorithm by Yongquan Zhou, Jian Xie, Liangliang Li, Mingzhi Ma

“…This paper focuses on remodeling echolocation model based on living and preying characteristics of bats, utilizing the transformation theory of cloud model to depict the qualitative concept: “bats approach their prey.” Furthermore, Lévy flight mode and population information communication mechanism of bats are introduced to balance the advantage between exploration and exploitation. …”
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Otsu Based Optimal Multilevel Image Thresholding Using Firefly Algorithm by N. Sri Madhava Raja, V. Rajinikanth, K. Latha

“…The performances of the proposed algorithm are demonstrated by considering twelve benchmark images and are compared with the existing FA algorithms such as Lévy flight (LF) guided FA and random operator guided FA. …”
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Underwater source localization using time difference of arrival and frequency difference of arrival measurements based on an improved invasive weed optimization algorithm by Yunhang Lin, Zhenkai Zhang, Hamid Esmaeili Najafabadi

“…Abstract In this study, we propose an underwater localization method based on an improved invasive weed optimization algorithm to accurately locate moving sources in underwater sensor networks. First, the Lévy flight model is introduced into the invasive weed optimization algorithm to enhance its global search ability and avoid falling into local optima. …”
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Balanced dung beetle optimization algorithm based on parameter substitution and escape strategy by Chen-Xu Tian, Yu-Xuan Li

“…Gaussian distributed phase parameter $$\beta$$ β is introduced to reduce the randomness of parameters and stimulate the potential of algorithm exploitation. Levy flight escape strategy is introduced to balance the global exploration ability of the algorithm and fully explore the solution space. …”
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Parameter Estimation of Photovoltaic Models via Cuckoo Search by Jieming Ma, T. O. Ting, Ka Lok Man, Nan Zhang, Sheng-Uei Guan, Prudence W. H. Wong

“…Cuckoo Search (CS) is invented based on the inspiration of brood parasitic behavior of some cuckoo species in combination with the Lévy flight behavior. In this paper, a CS-based parameter estimation method is proposed to extract the parameters of single-diode models for commercial PV generators. …”
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Multi-Objective Optimization Scheduling of a Wind–Solar Energy Storage Microgrid Based on an Improved OGGWO Algorithm by Dong Mo, Qiuwen Li, Yan Sun, Yixin Zhuo, Fangming Deng

“…Furthermore, Gaussian walk and Lévy flight are introduced to enhance the search capability of the proposed OGGWO algorithm. …”
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Advanced machine learning approach with dynamic kernel weighting for accurate electrical load forecasting by C. Jeevakarunya, V. Manikandan

“…The first step in preparing the dataset is to perform preprocessing, which involves conducting correlation analysis, scaling, and normalization followed by initial hyperparameter tuning using the multiswarm Levy flight particle swarm optimization technique. Compared with traditional methods, EDW-MKSVR offers greater adaptability to shifting load patterns since it makes use of dynamic kernel weight modifications that are dependent on data attributes. …”
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Smart building energy management with renewables and storage systems using a modified weighted mean of vectors algorithm by Mohamed Ebeed, Sabreen hassan, Salah Kamel, Loai Nasrat, Ali Wagdy Mohamed, Abdel-Raheem Youssef

“…Secondly, it utilizes an Adaptive Levy Flight Motion (ALFM) technique to enhance exploration. …”
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Noise Elimination for Wide Field Electromagnetic Data via Improved Dung Beetle Optimized Gated Recurrent Unit by Zhongyuan Liu, Xian Zhang, Diquan Li, Shupeng Liu, Ke Cao

“…Firstly, Spatial Pyramid Matching (SPM) chaotic mapping, variable spiral strategy, Levy flight mechanism, and adaptive T-distribution variation perturbation strategy were utilized to enhance the DBO algorithm. …”
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A hybrid algorithm based on improved sine cosine algorithm and population incremental learning and its application to economic load dispatch in power systems by Aoshuang Ye, Yichao Li, Dong Xu, Zhiwei Wu, Guohua Chen, Junjie Tang, Zhiyuan Zhu

“…First, the Improved Sine Cosine Algorithm (ISCA) is developed by incorporating the hyperbolic sinusoidal cosine function, which dynamically interferes with individual positions to enhance optimization accuracy. Additionally, the Levy flight function is embedded within ISCA to improve its exploratory capabilities. …”
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Quantum Particle Swarm Optimization Extraction Algorithm Based on Quantum Chaos Encryption by Chao Li, Mengna Shi, Yanqi Zhou, Erfu Wang

“…Finally, the signal is extracted using the Levi flight strategy based on kurtosis and the quantum particle swarm optimization optimized by the greedy algorithm (KLG-QPSO). …”
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