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Keywords = improved crayfish optimization algorithm

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24 pages, 1102 KiB  
Article
Ballistic Fitting Impact Point Prediction Based on Improved Crayfish Optimization Algorithm
by Baolu Yang, Liangming Wang and Jian Fu
Aerospace 2024, 11(11), 908; https://doi.org/10.3390/aerospace11110908 - 5 Nov 2024
Viewed by 406
Abstract
To solve the problem of difficulty in predicting the impact point clearly and promptly during projectile flight, this paper proposes an improved ballistic-impact-point prediction method. A certain type of high-spinning tailed projectile is taken as the research object for online real-time landing point [...] Read more.
To solve the problem of difficulty in predicting the impact point clearly and promptly during projectile flight, this paper proposes an improved ballistic-impact-point prediction method. A certain type of high-spinning tailed projectile is taken as the research object for online real-time landing point prediction research. This study comprehensively utilizes the real-time radar measurement data and the geomagnetic data measured by the bomb-carried geomagnetic sensor. It applies the four-degree-of-freedom ballistic model to predict the landing point. First, the roll angular velocity is calculated based on the geomagnetic data, after which the radar real-time measurement data are segmentally fitted using the improved crayfish algorithm. Then, the fitted parameters are substituted into the four-degree-of-freedom ballistic model. Finally, the C-K method is used to identify the aerodynamic parameters, and the identified aerodynamic parameters are used for fallout prediction. The simulation results show a small deviation between the predicted and actual impact points using the improved ballistic-impact-point prediction method. Full article
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<p>Velocity <math display="inline"><semantics> <mi>v</mi> </semantics></math> fitting results.</p>
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<p>Geomagnetic curve.</p>
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<p>Roll angular velocity curve.</p>
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<p>Flowchart of impact point prediction.</p>
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<p>Wind speed–height relationship curve.</p>
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<p>Wind direction–height relationship curve.</p>
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<p>Velocity-time curve.</p>
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<p>Altitude–range curve.</p>
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<p>Resistance coefficient–Ma relationship curve.</p>
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<p>Plot of the results of the improved algorithm for predicting the impact point.</p>
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<p>Plot of the results of the unimproved algorithm for predicting impact points.</p>
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<p>Range–time curve.</p>
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<p>Lateral deviation–time curve.</p>
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29 pages, 13018 KiB  
Article
Suppression and Analysis of Low-Frequency Oscillation in Hydropower Unit Regulation Systems with Complex Water Diversion Systems
by Zhao Liu, Zhenwu Yan, Hongwei Zhang, Huiping Xie, Yidong Zou, Yang Zheng, Zhihuai Xiao and Fei Chen
Energies 2024, 17(19), 4831; https://doi.org/10.3390/en17194831 - 26 Sep 2024
Viewed by 500
Abstract
Low-frequency oscillation (LFO) poses significant challenges to the dynamic performance of hydropower unit regulation systems (HURS) in hydropower units sharing a tailwater system. Previous methods have struggled to effectively suppress LFO, due to limitations in governor parameter optimization strategies. To address this issue, [...] Read more.
Low-frequency oscillation (LFO) poses significant challenges to the dynamic performance of hydropower unit regulation systems (HURS) in hydropower units sharing a tailwater system. Previous methods have struggled to effectively suppress LFO, due to limitations in governor parameter optimization strategies. To address this issue, this paper proposes a governor parameter optimization strategy based on the crayfish optimization algorithm (COA). Considering the actual water diversion layout (WDL) of a HURS, a comprehensive mathematical model of the WDL is constructed and, combined with models of the governor, turbine, and generator, an overall HURS model for the shared tailwater system is derived. By utilizing the efficient optimization performance of the COA, the optimal PID parameters for the HURS controller are quickly obtained, providing robust support for PID parameter tuning. Simulation results showed that the proposed strategy effectively suppressed LFOs and significantly enhanced the dynamic performance of the HURS under grid-connected conditions. Specifically, compared to before optimization, the optimized system reduced the oscillation amplitude by at least 30% and improved the stabilization time by at least 25%. Additionally, the impact of the power grid system parameters on oscillations was studied, providing guidance for the optimization and tuning of specific system parameters. Full article
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<p>Structural diagram of a large hydropower station.</p>
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<p>Pressurized pipe modeling and its boundary conditions.</p>
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<p>Upstream water intake pipeline schematic.</p>
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<p>Draft tube schematic.</p>
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<p>Tailrace tunnel schematic.</p>
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<p>Overall model block diagram of the water intake system.</p>
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<p>Parallel PID controller block diagram.</p>
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<p>Servo system structure diagram.</p>
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<p>First-order generator-load model transfer function block diagram.</p>
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<p>Transfer function block diagram for the second-order generator-load model.</p>
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<p>Equivalent-grid model block diagram.</p>
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<p>Block diagram of the overall system model with a first-order generator model.</p>
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<p>COA algorithm flowchart.</p>
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<p>Three-dimensional surface of the test function and fitness variation curves of the different algorithms.</p>
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<p>Three-dimensional surface of the test function and fitness variation curves of the different algorithms.</p>
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<p>WDL system pipeline numbers.</p>
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<p>System response under FM.</p>
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<p>System response under PM.</p>
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<p>System response under PM.</p>
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<p>System response under OM.</p>
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<p>System response under OM.</p>
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<p>The impact of <span class="html-italic">B</span> on the stability and multi-scale transient characteristics of the coupled system.</p>
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<p>The impact of <span class="html-italic">D<sub>s</sub></span> on the stability and multi-scale transient characteristics of the coupled system.</p>
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<p>The impact of <span class="html-italic">T<sub>s</sub></span> on the stability and multi-scale transient characteristics of the coupled system.</p>
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<p>The impact of <span class="html-italic">R<sub>g</sub></span> on the stability and multi-scale transient characteristics of the coupled system.</p>
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<p>The impact of <span class="html-italic">T<sub>g</sub></span> on the stability and multi-scale transient characteristics of the coupled system.</p>
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22 pages, 5874 KiB  
Article
A Method for Optimizing Terminal Sliding Mode Controller Parameters Based on a Multi-Strategy Improved Crayfish Algorithm
by Zhenghao Wei, Zhibin He, Fumiao Yang and Bin Sun
Appl. Sci. 2024, 14(17), 8085; https://doi.org/10.3390/app14178085 - 9 Sep 2024
Viewed by 613
Abstract
This paper proposes a parameter optimization method for a terminal sliding mode controller (TSMC) based on a multi-strategy improved crayfish algorithm (JLSCOA) to enhance the performance of ship dynamic positioning systems. The TSMC is designed for the “Xinhongzhuan” vessel of Dalian Maritime University. [...] Read more.
This paper proposes a parameter optimization method for a terminal sliding mode controller (TSMC) based on a multi-strategy improved crayfish algorithm (JLSCOA) to enhance the performance of ship dynamic positioning systems. The TSMC is designed for the “Xinhongzhuan” vessel of Dalian Maritime University. JLSCOA integrates subtractive averaging, Levy Flight, and sparrow search strategies to overcome the limitations of traditional crayfish algorithms. Compared to COA, WOA, and SSA algorithms, JLSCOA demonstrates superior optimization accuracy, convergence performance, and stability across 12 benchmark test functions. It achieves the optimal value in 83% of cases, outperforms the average in 83% of cases, and exhibits stronger robustness in 75% of cases. Simulations show that applying JLSCOA to TSMC parameter optimization significantly outperforms traditional non-optimized controllers, reducing the average time for three degrees of freedom position changes by over 300 s and nearly eliminating control force and velocity oscillations. Full article
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<p>Simulation model of terminal sliding mode controller for ship dynamic positioning.</p>
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<p>Parameters <span class="html-italic">λ</span> and <span class="html-italic">δ</span> iterative variation curves.</p>
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<p>Fitness function iteration variation curve.</p>
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<p>Ship position and pitch angle variation curve.</p>
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<p>Ship velocity variation curve.</p>
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<p>Ship control force curve.</p>
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<p>Comparison of longitudinal position variations.</p>
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<p>Comparison of lateral position variations.</p>
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<p>Comparison of pitch angle variations.</p>
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<p>Comparison of longitudinal velocity variations.</p>
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<p>Comparison of lateral velocity variations.</p>
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<p>Comparison of pitch rate variations.</p>
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<p>Comparison of longitudinal control force variations.</p>
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<p>Comparison of lateral control force variations.</p>
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<p>Comparison of pitch control torque variations.</p>
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26 pages, 4584 KiB  
Article
Hierarchical Learning-Enhanced Chaotic Crayfish Optimization Algorithm: Improving Extreme Learning Machine Diagnostics in Breast Cancer
by Jilong Zhang and Yuan Diao
Mathematics 2024, 12(17), 2641; https://doi.org/10.3390/math12172641 - 26 Aug 2024
Viewed by 879
Abstract
Extreme learning machines (ELMs), single hidden-layer feedforward neural networks, are renowned for their speed and efficiency in classification and regression tasks. However, their generalization ability is often undermined by the random generation of hidden layer weights and biases. To address this issue, this [...] Read more.
Extreme learning machines (ELMs), single hidden-layer feedforward neural networks, are renowned for their speed and efficiency in classification and regression tasks. However, their generalization ability is often undermined by the random generation of hidden layer weights and biases. To address this issue, this paper introduces a Hierarchical Learning-based Chaotic Crayfish Optimization Algorithm (HLCCOA) aimed at enhancing the generalization ability of ELMs. Initially, to resolve the problems of slow search speed and premature convergence typical of traditional crayfish optimization algorithms (COAs), the HLCCOA utilizes chaotic sequences for population position initialization. The ergodicity of chaos is leveraged to boost population diversity, laying the groundwork for effective global search efforts. Additionally, a hierarchical learning mechanism encourages under-performing individuals to engage in extensive cross-layer learning for enhanced global exploration, while top performers directly learn from elite individuals at the highest layer to improve their local exploitation abilities. Rigorous testing with CEC2019 and CEC2022 suites shows the HLCCOA’s superiority over both the original COA and nine renowned heuristic algorithms. Ultimately, the HLCCOA-optimized extreme learning machine model, the HLCCOA-ELM, exhibits superior performance over reported benchmark models in terms of accuracy, sensitivity, and specificity for UCI breast cancer diagnosis, underscoring the HLCCOA’s practicality and robustness, as well as the HLCCOA-ELM’s commendable generalization performance. Full article
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<p>Classification of meta-heuristic optimization algorithms.</p>
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<p>Schematic illustration of crayfish food intake influenced by temperature.</p>
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<p>Scatter diagram and distribution histograms of the Tent map and the Chebyshev map.</p>
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<p>The entire population size is divided into <span class="html-italic">NL</span> learning layers.</p>
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<p>Algorithmic workflow diagram of the proposed HLCCOA.</p>
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<p>Box plots of the HLCCOA with different <span class="html-italic">NL</span> values for CEC2022-20D, where red ‘+’ denotes extreme values and blue boxes show quartiles from 30 experiments.</p>
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<p>Box plots of the HLCCOA with different <math display="inline"><semantics> <msub> <mi>p</mi> <mn>1</mn> </msub> </semantics></math> values for CEC2022-20D, where red ‘+’ denotes extreme values and blue boxes show quartiles from 30 experiments.</p>
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<p>The fitness evaluation curves of the HLCCOA and other competitors for CEC2019, CEC2022-10D and CEC2022-20D (F1 and F2).</p>
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<p>The fitness evaluation curves of the HLCCOA and other competitors for CEC2022-20D (from F3 to F12).</p>
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<p>Box plots of the HLCCOA and other competitors for CEC2019, CEC2022-10D and CEC2022 (F1 and F2), where red ‘+’ denotes extreme values and blue boxes show quartiles from 30 experiments.</p>
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<p>Box plots of the HLCCOA and other competitors for CEC2019, CEC2022-10D and CEC2022 (F1 and F2), where red ‘+’ denotes extreme values and blue boxes show quartiles from 30 experiments.</p>
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<p>Box plots of the HLCCOA and other competitors for CEC2022-20D (from F3 to F12), where red ‘+’ denotes extreme values and blue boxes show quartiles from 30 experiments.</p>
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<p>Column chart of Friedman’s mean rank among the HLCCOA and other algorithms for CEC2019.</p>
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<p>Column chart of Friedman’s mean rank among the HLCCOA and other algorithms for CEC2022.</p>
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<p>The network architecture of the ELM.</p>
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<p>Flowchart of the ELM algorithm combined with the HLCCOA.</p>
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<p>Confusion graph analysis of the HLCCOA-ELM model.</p>
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<p>Box diagram analysis of the HLCCOA-ELM model with different numbers of hidden neurons.</p>
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<p>Box diagram analysis of the HLCCOA-ELM model with different population sizes.</p>
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<p>Box diagram analysis of the HLCCOA-ELM model, where red ‘+’ denotes extreme values and blue boxes show quartiles from 10 experiments.</p>
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<p>Fitness evaluation curves of the HLCCOA and COA during the ELM optimization process.</p>
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41 pages, 1726 KiB  
Article
An Improved Binary Crayfish Optimization Algorithm for Handling Feature Selection Task in Supervised Classification
by Shaymaa E. Sorour, Lamia Hassan, Amr A. Abohany and Reda M. Hussien
Mathematics 2024, 12(15), 2364; https://doi.org/10.3390/math12152364 - 29 Jul 2024
Cited by 1 | Viewed by 968
Abstract
Feature selection (FS) is a crucial phase in data mining (DM) and machine learning (ML) tasks, aimed at removing uncorrelated and redundant attributes to enhance classification accuracy. This study introduces an improved binary crayfish optimization algorithm (IBCOA) designed to tackle the FS problem. [...] Read more.
Feature selection (FS) is a crucial phase in data mining (DM) and machine learning (ML) tasks, aimed at removing uncorrelated and redundant attributes to enhance classification accuracy. This study introduces an improved binary crayfish optimization algorithm (IBCOA) designed to tackle the FS problem. The IBCOA integrates a local search strategy and a periodic mode boundary handling technique, significantly improving its ability to search and exploit the feature space. By doing so, the IBCOA effectively reduces dimensionality, while improving classification accuracy. The algorithm’s performance was evaluated using support vector machine (SVM) and k-nearest neighbor (k-NN) classifiers on eighteen multi-scale benchmark datasets. The findings showed that the IBCOA performed better than nine recent binary optimizers, attaining 100% accuracy and decreasing the feature set size by as much as 0.8. Statistical evidence supports that the proposed IBCOA is highly competitive according to the Wilcoxon rank sum test (alpha = 0.05). This study underscores the IBCOA’s potential for enhancing FS processes, providing a robust solution for high-dimensional data challenges. Full article
(This article belongs to the Special Issue Combinatorial Optimization and Applications)
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<p>Periodic-mode boundary handling strategy [<a href="#B88-mathematics-12-02364" class="html-bibr">88</a>].</p>
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<p>The proposed IBCOA flowchart</p>
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<p>Convergence curves of the proposed IBCOA and its counterparts with the KNN model.</p>
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<p>Convergence curves of the proposed IBCOA and its counterparts with the KNN model.</p>
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<p>Convergence curves of the proposed IBCOA and its counterparts with the KNN model.</p>
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<p>Convergence curves of the proposed IBCOA and its counterparts with the SVM model.</p>
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<p>Convergence curves of the proposed IBCOA and its counterparts with the SVM model.</p>
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<p>Convergence curves of the proposed IBCOA and its counterparts with the SVM model.</p>
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18 pages, 1937 KiB  
Article
Advancing Crayfish Disease Detection: A Comparative Study of Deep Learning and Canonical Machine Learning Techniques
by Yasin Atilkan, Berk Kirik, Koray Acici, Recep Benzer, Fatih Ekinci, Mehmet Serdar Guzel, Semra Benzer and Tunc Asuroglu
Appl. Sci. 2024, 14(14), 6211; https://doi.org/10.3390/app14146211 - 17 Jul 2024
Viewed by 912
Abstract
This study evaluates the effectiveness of deep learning and canonical machine learning models for detecting diseases in crayfish from an imbalanced dataset. In this study, measurements such as weight, size, and gender of healthy and diseased crayfish individuals were taken, and at least [...] Read more.
This study evaluates the effectiveness of deep learning and canonical machine learning models for detecting diseases in crayfish from an imbalanced dataset. In this study, measurements such as weight, size, and gender of healthy and diseased crayfish individuals were taken, and at least five photographs of each individual were used. Deep learning models outperformed canonical models, but combining both approaches proved the most effective. Utilizing the ResNet50 model for automatic feature extraction and subsequent training of the RF algorithm with these extracted features led to a hybrid model, RF-ResNet50, which achieved the highest performance in diseased sample detection. This result underscores the value of integrating canonical machine learning algorithms with deep learning models. Additionally, the ConvNeXt-T model, optimized with AdamW, performed better than those using SGD, although its disease detection sensitivity was 1.3% lower than the hybrid model. McNemar’s test confirmed the statistical significance of the performance differences between the hybrid and the ConvNeXt-T model with AdamW. The ResNet50 model’s performance was improved by 3.2% when combined with the RF algorithm, demonstrating the potential of hybrid approaches in enhancing disease detection accuracy. Overall, this study highlights the advantages of leveraging both deep learning and canonical machine learning techniques for early and accurate detection of diseases in crayfish populations, which is crucial for maintaining ecosystem balance and preventing population declines. Full article
(This article belongs to the Section Environmental Sciences)
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<p>General framework for canonical machine learning and deep learning algorithms.</p>
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<p>General framework for the hybrid algorithm.</p>
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<p>RF-ResNet50 hybrid model. ResNet50 architecture was taken from [<a href="#B51-applsci-14-06211" class="html-bibr">51</a>].</p>
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44 pages, 18289 KiB  
Article
An Improved Multi-Strategy Crayfish Optimization Algorithm for Solving Numerical Optimization Problems
by Ruitong Wang, Shuishan Zhang and Guangyu Zou
Biomimetics 2024, 9(6), 361; https://doi.org/10.3390/biomimetics9060361 - 14 Jun 2024
Cited by 2 | Viewed by 1291
Abstract
The crayfish optimization algorithm (COA), proposed in 2023, is a metaheuristic optimization algorithm that is based on crayfish’s summer escape behavior, competitive behavior, and foraging behavior. COA has a good optimization performance, but it still suffers from the problems of slow convergence speed [...] Read more.
The crayfish optimization algorithm (COA), proposed in 2023, is a metaheuristic optimization algorithm that is based on crayfish’s summer escape behavior, competitive behavior, and foraging behavior. COA has a good optimization performance, but it still suffers from the problems of slow convergence speed and sensitivity to the local optimum. To solve these problems, an improved multi-strategy crayfish optimization algorithm for solving numerical optimization problems, called IMCOA, is proposed to address the shortcomings of the original crayfish optimization algorithm for each behavioral strategy. Aiming at the imbalance between local exploitation and global exploration in the summer heat avoidance and competition phases, this paper proposes a cave candidacy strategy and a fitness–distance balanced competition strategy, respectively, so that these two behaviors can better coordinate the global and local optimization capabilities and escape from falling into the local optimum prematurely. The directly foraging formula is modified during the foraging phase. The food covariance learning strategy is utilized to enhance the population diversity and improve the convergence accuracy and convergence speed. Finally, the introduction of an optimal non-monopoly search strategy to perturb the optimal solution for updates improves the algorithm’s ability to obtain a global best solution. We evaluated the effectiveness of IMCOA using the CEC2017 and CEC2022 test suites and compared it with eight algorithms. Experiments were conducted using different dimensions of CEC2017 and CEC2022 by performing numerical analyses, convergence analyses, stability analyses, Wilcoxon rank–sum tests and Friedman tests. Experiments on the CEC2017 and CEC2022 test suites show that IMCOA can strike a good balance between exploration and exploitation and outperforms the traditional COA and other optimization algorithms in terms of its convergence speed, optimization accuracy, and ability to avoid premature convergence. Statistical analysis shows that there is a significant difference between the performance of the IMCOA algorithm and other algorithms. Additionally, three engineering design optimization problems confirm the practicality of IMCOA and its potential to solve real-world problems. Full article
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<p>The flow chart of IMCOA.</p>
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<p>CEC2017 ranking stack chart (Dim = 30).</p>
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<p>CEC2017 ranking stack chart (Dim = 50).</p>
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<p>CEC2017 ranking stack chart (Dim = 100).</p>
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<p>CEC2022 Sankey ranking diagram.</p>
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<p>Ranking of each strategy on the CEC2017 and CEC2022 test suites.</p>
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<p>Schematic design of the welded beam.</p>
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<p>Schematic design of the tension/compression spring design problem.</p>
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<p>Schematic design of the pressure vessel design problem.</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2017 (Dim = 30).</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2017 (Dim = 30).</p>
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<p>Comparison of box diagrams of the 9 algorithms using CEC2017(Dim = 30).</p>
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<p>Comparison of box diagrams of the 9 algorithms using CEC2017(Dim = 30).</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2017(Dim = 50).</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2017(Dim = 50).</p>
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<p>Comparison of box diagrams of the 9 algorithms using CEC2017(Dim = 50).</p>
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<p>Comparison of box diagrams of the 9 algorithms using CEC2017(Dim = 50).</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2017(Dim = 100).</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2017(Dim = 100).</p>
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<p>Comparison of the box diagrams of 9 algorithms using CEC2017(Dim = 100).</p>
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<p>Comparison of the box diagrams of 9 algorithms using CEC2017(Dim = 100).</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2022.</p>
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<p>Comparison of convergence curves of the 9 algorithms using CEC2022.</p>
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<p>Comparison of box diagrams of the 9 algorithms using CEC2022.</p>
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<p>Comparison of box diagrams of the 9 algorithms using CEC2022.</p>
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20 pages, 8987 KiB  
Article
Implementation of an Enhanced Crayfish Optimization Algorithm
by Yi Zhang, Pengtao Liu and Yanhong Li
Biomimetics 2024, 9(6), 341; https://doi.org/10.3390/biomimetics9060341 - 4 Jun 2024
Viewed by 1631
Abstract
This paper presents an enhanced crayfish optimization algorithm (ECOA). The ECOA includes four improvement strategies. Firstly, the Halton sequence was used to improve the population initialization of the crayfish optimization algorithm. Furthermore, the quasi opposition-based learning strategy is introduced to generate the opposite [...] Read more.
This paper presents an enhanced crayfish optimization algorithm (ECOA). The ECOA includes four improvement strategies. Firstly, the Halton sequence was used to improve the population initialization of the crayfish optimization algorithm. Furthermore, the quasi opposition-based learning strategy is introduced to generate the opposite solution of the population, increasing the algorithm’s searching ability. Thirdly, the elite factor guides the predation stage to avoid blindness in this stage. Finally, the fish aggregation device effect is introduced to increase the ability of the algorithm to jump out of the local optimal. This paper performed tests on the widely used IEEE CEC2019 test function set to verify the validity of the proposed ECOA method. The experimental results show that the proposed ECOA has a faster convergence speed, greater performance stability, and a stronger ability to jump out of local optimal compared with other popular algorithms. Finally, the ECOA was applied to two real-world engineering optimization problems, verifying its ability to solve practical optimization problems and its superiority compared to other algorithms. Full article
(This article belongs to the Special Issue Bioinspired Algorithms)
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<p>Schematic diagram of individual location of QOBL population.</p>
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<p>Comparison of iteration curves of each algorithm on the CEC2019 test set.</p>
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<p>Comparison of iteration curves of each algorithm on the CEC2019 test set.</p>
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<p>Comparison of box plots of various algorithms on the CEC2019 test set.</p>
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<p>Comparison of box plots of various algorithms on the CEC2019 test set.</p>
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<p>Iteration curves of various algorithms in ablation experiments.</p>
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<p>Three-bar truss structure diagram.</p>
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<p>Iterative curves of various algorithms for three-bar truss design problems.</p>
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<p>Schematic diagram of pressure vessel structure.</p>
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<p>Iterative curves of various algorithms for pressure vessel design.</p>
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19 pages, 18409 KiB  
Article
Soil Salinity Inversion in Yellow River Delta by Regularized Extreme Learning Machine Based on ICOA
by Jiajie Wang, Xiaopeng Wang, Jiahua Zhang, Xiaodi Shang, Yuyi Chen, Yiping Feng and Bingbing Tian
Remote Sens. 2024, 16(9), 1565; https://doi.org/10.3390/rs16091565 - 28 Apr 2024
Cited by 5 | Viewed by 1044
Abstract
Soil salinization has seriously affected agricultural production and ecological balance in the Yellow River Delta region. Rapid and accurate monitoring of soil salinity has become an urgent need. Traditional machine learning models tend to fall into local optimal values during the learning process, [...] Read more.
Soil salinization has seriously affected agricultural production and ecological balance in the Yellow River Delta region. Rapid and accurate monitoring of soil salinity has become an urgent need. Traditional machine learning models tend to fall into local optimal values during the learning process, which reduces their accuracy. This paper introduces Circle map to enhance the crayfish optimization algorithm (COA), which is then integrated with the regularized extreme learning machine (RELM) model, aiming to improve the accuracy of soil salinity content (SSC) inversion in the Yellow River Delta region. We employed Landsat5 TM remote sensing images and measured salinity data to develop spectral indices, such as the band index, salinity index, vegetation index, and comprehensive index, selecting the optimal modeling variable group through Pearson correlation analysis and variable projection importance analysis. The back propagation neural network (BPNN), RELM, and improved crayfish optimization algorithm–regularized extreme learning machine (ICOA-RELM) models were constructed using measured data and selected variable groups for SSC inversion. The results indicate that the ICOA-RELM model enhances the R2 value by an average of about 0.1 compared to other models, particularly those using groups of variables filtered by variable projection importance analysis as input variables, which showed the best inversion effect (test set R2 value of 0.75, MAE of 0.198, RMSE of 0.249). The SSC inversion results indicate a higher salinization degree in the coastal regions of the Yellow River Delta and a lower degree in the inland areas, with moderate saline soil and severe saline soil comprising 48.69% of the total area. These results are consistent with the actual sampling results, which verify the practicability of the model. This paper’s methods and findings introduce an innovative and practical tool for monitoring and managing salinized soils in the Yellow River Delta, offering significant theoretical and practical benefits. Full article
(This article belongs to the Topic Advances in Earth Observation and Geosciences)
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<p>Study area and sampling point location distribution map.</p>
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<p>Preprocessing of the Landsat5 TM remote sensing image for Yellow River Delta. All images above are false color composite images. (<b>a</b>) The original remote sensing image; (<b>b</b>) the remote sensing image after radiometric calibration; (<b>c</b>) the remote sensing image after atmospheric correction; (<b>d</b>) the remote sensing image after data cropping.</p>
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<p>ICOA-RELM model architecture diagram.</p>
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<p>The working flowchart of this paper.</p>
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<p>Heat maps of Pearson correlation analysis between four spectral indices and SSC: (<b>a</b>) band indices; (<b>b</b>) salinity indices; (<b>c</b>) vegetation indices; (<b>d</b>) composite indices.</p>
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<p>Characteristic importance values for all spectral indices.</p>
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<p>Scatter plots of measured and estimated SSC based on different models for different input variable groups. (<b>a</b>) BP-PCC; (<b>b</b>) BP-VIP; (<b>c</b>) BP-TV; (<b>d</b>) RELM-PCC; (<b>e</b>) RELM-VIP; (<b>f</b>) RELM-TV; (<b>g</b>) ICOA-RELM-PCC; (<b>h</b>) ICOA-RELM-VIP; (<b>i</b>) ICOA-RELM-TV. The red line is the fitting line between the measured and predicted values.</p>
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<p>Spatial distribution map of soil salinity.</p>
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