4.7 Article

A hybrid shuffled complex evolution approach based on differential evolution for unconstrained optimization

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 217, 期 12, 页码 5822-5829

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.12.064

关键词

Shuffled complex evolution algorithm; Genetic algorithm; Differential evolution; Unconstrained optimization; Evolutionary algorithms; Benchmark functions

资金

  1. National Council of Scientific and Technologic Development of Brazil - CNPq [568221/2008-7, 474408/2008-6, 302786/2008-2-PQ, 303963/2009-3/PQ, 478158/2009-3, 475689/2010-0]
  2. Fundacao Araucaria [14/2008-416/09-15149]

向作者/读者索取更多资源

Numerous optimization methods have been proposed for the solution of the unconstrained optimization problems, such as mathematical programming methods, stochastic global optimization approaches, and metaheuristics. In this paper, a metaheuristic algorithm called Modified Shuffled Complex Evolution (MSCE) is proposed, where an adaptation of the Downhill Simplex search strategy combined with the differential evolution method is proposed. The efficiency of the new method is analyzed in terms of the mean performance and computational time, in comparison with the genetic algorithm using floating-point representation (GAF) and the classical shuffled complex evolution (SCE-UA) algorithm using six benchmark optimization functions. Simulation results and the comparisons with SCE-UA and GAF indicate that the MSCE improves the search performance on the five benchmark functions of six tested functions. (C) 2010 Elsevier Inc. All rights reserved.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Mathematics, Interdisciplinary Applications

Cooperative ensemble learning model improves electric short-term load forecasting

Matheus Henrique Dal Molin Ribeiro, Ramon Gomes da Silva, Gabriel Trierweiler Ribeiro, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: Efficient models for short-term load forecasting in electricity distribution and generation systems are crucial for companies' energetic planning. In this study, an ensemble learning model based on dual decomposition approach, machine learning models and hyperparameters optimization is proposed. The model successfully decomposes the time series and handles the non-linearities, and achieves accurate load forecasting results with reduced errors.

CHAOS SOLITONS & FRACTALS (2023)

Article Energy & Fuels

Aggregating Prophet and Seasonal Trend Decomposition for Time Series Forecasting of Italian Electricity Spot Prices

Stefano Frizzo Stefenon, Laio Oriel Seman, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: The cost of electricity and gas has a direct impact on people's everyday routines, but the value of electricity is closely related to spot market prices, which can increase in winter due to higher energy demand. Existing models for forecasting energy costs are not robust enough due to competition, seasonal changes, and other variables. This study proposes combining seasonal and trend decomposition using LOESS and Facebook Prophet methodologies to improve the accuracy of analyzing time series data on Italian electricity spot prices.

ENERGIES (2023)

Article Computer Science, Artificial Intelligence

Rat swarm optimizer adjusted by fuzzy inference system

Allan Christian Krainski Ferrari, Gideon Villar Leandro, Leandro dos Santos Coelho, Myriam Regattieri De Biase Silva Delgado

Summary: This work proposes a fuzzy mechanism to improve the convergence of the rat swarm optimizer algorithm. The proposed fuzzy model uses the normalized fitness and population diversity as input. The results show that the fuzzy mechanism improves convergence and is competitive with other metaheuristics.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS (2023)

Article Computer Science, Information Systems

Web pages from mockup design based on convolutional neural network and class activation mapping

Andre Armstrong Janino Cizotto, Rodrigo Clemente Thom de Souza, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: The objective of this study is to validate the use of deep neural networks (DNNs) for segmenting and classifying web elements. A dataset of 2200 images representing 10 distinct classes was created using screenshots of real web pages. The study contributes by validating classification-only convolutional neural networks (CNNs) with the support of Class Activation Mapping (CAM), a weakly-supervised semantic segmentation technique. The best-performing model achieved a final accuracy rating of 95.71%, but improvements are still needed on the dataset and architecture for real-time dynamic web page building.

MULTIMEDIA TOOLS AND APPLICATIONS (2023)

Article Chemistry, Analytical

Optimized EWT-Seq2Seq-LSTM with Attention Mechanism to Insulators Fault Prediction

Anne Carolina Rodrigues Klaar, Stefano Frizzo Stefenon, Laio Oriel Seman, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: Insulators installed outdoors are prone to accumulation of contaminants, causing increased conductivity and leakage current, eventually leading to flashover. To enhance power system reliability, it is possible to predict fault development and potential shutdown by evaluating the increase in leakage current. This paper proposes a method, optimized EWT-Seq2Seq-LSTM with attention, which combines empirical wavelet transform (EWT) to reduce non-representative variations and the attention mechanism with LSTM recurrent network for prediction. The model achieved a 10.17% lower mean square error (MSE) compared to standard LSTM and a 5.36% lower MSE compared to the model without optimization, demonstrating the effectiveness of the attention mechanism and hyperparameter optimization.

SENSORS (2023)

Article Chemistry, Analytical

Machine Fault Detection Using a Hybrid CNN-LSTM Attention-Based Model

Andressa Borre, Laio Oriel Seman, Eduardo Camponogara, Stefano Frizzo Stefenon, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: In this paper, the issue of predicting electrical machine failures by predicting possible anomalies in the data is addressed through time series analysis. The dataset is used to train a hybrid CNN-LSTM architecture, which employs quantile regression to manage uncertainties in the data. The results show that this approach outperforms traditional reference models, making it beneficial for companies to optimize maintenance schedules and improve the performance of their electric machines.

SENSORS (2023)

Article Chemistry, Analytical

Video-Based Human Activity Recognition Using Deep Learning Approaches

Guilherme Augusto Silva Surek, Laio Oriel Seman, Stefano Frizzo Stefenon, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: This paper aims to evaluate and map the current scenario of human actions in red, green, and blue videos using deep learning models. A semi-supervised learning approach is employed to evaluate a residual network (ResNet) and a vision transformer architecture (ViT). The results obtained using a bi-dimensional ViT structure demonstrated great performance in human action recognition, achieving an accuracy of 96.7% on the HMDB51 dataset.

SENSORS (2023)

Article Chemistry, Analytical

Decoding Electroencephalography Signal Response by Stacking Ensemble Learning and Adaptive Differential Evolution

Matheus Henrique Dal Molin Ribeiro, Ramon Gomes da Silva, Jose Henrique Kleinubing Larcher, Andre Mendes, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: This paper proposes a new hybrid framework combining STACK ensemble learning and a JADE algorithm for nonlinear system identification. The model performs well in decoding EEG signals, achieving an average explanation of 94.50% and 67.50% of data variability, and outperforms other methods in terms of accuracy.

SENSORS (2023)

Article Chemistry, Analytical

Group Method of Data Handling Using Christiano-Fitzgerald Random Walk Filter for Insulator Fault Prediction

Stefano Frizzo Stefenon, Laio Oriel Seman, Nemesio Fava Sopelsa Neto, Luiz Henrique Meyer, Viviana Cocco Mariani, Leandro dos Santos Coelho

Summary: This paper presents a novel hybrid method for fault prediction based on the time series of leakage current of contaminated insulators. The proposed CFRW-GMDH method, with a root-mean-squared error of 3.44x10(-12), outperformed other models in fault prediction. This approach can provide power utilities with a reliable tool for monitoring insulator health and predicting failures, thereby enhancing the reliability of the power supply.

SENSORS (2023)

Article Mathematics, Applied

Unconditionally stable higher order semi-implicit level set method for advection equations

Peter Frolkovic, Nikola Gajdosova

Summary: This paper presents compact semi-implicit finite difference schemes for solving advection problems using level set methods. Through numerical tests and stability analysis, the accuracy and stability of the proposed schemes are verified.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Coupling injunctive social norms with evolutionary games

Md. Rajib Arefin, Jun Tanimoto

Summary: Human behaviors are strongly influenced by social norms, and this study shows that injunctive social norms can lead to bi-stability in evolutionary games. Different games exhibit different outcomes, with some showing the possibility of coexistence or a stable equilibrium.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Some remarks on the norm upper bounds associated with the generalized polar decompositions of matrices

Dingyi Du, Chunhong Fu, Qingxiang Xu

Summary: A correction and improvement are made on a recent joint work by the second and third authors. An optimal perturbation bound is also clarified for certain 2 x 2 Hermitian matrices.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Improved uniform error estimates for the two-dimensional nonlinear space fractional Dirac equation with small potentials over long-time dynamics

Pingrui Zhang, Xiaoyun Jiang, Junqing Jia

Summary: In this study, improved uniform error bounds are developed for the long-time dynamics of the nonlinear space fractional Dirac equation in two dimensions. The equation is discretized in time using the Strang splitting method and in space using the Fourier pseudospectral method. The major local truncation error of the numerical methods is established, and improved uniform error estimates are rigorously demonstrated for the semi-discrete scheme and full-discretization. Numerical investigations are presented to verify the error bounds and illustrate the long-time dynamical behaviors of the equation with honeycomb lattice potentials.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

The spatial public goods game on hypergraphs with heterogeneous investment

Kuan Zou, Wenchen Han, Lan Zhang, Changwei Huang

Summary: This research extends the spatial PGG on hypergraphs and allows cooperators to allocate investments unevenly. The results show that allocating more resources to profitable groups can effectively promote cooperation. Additionally, a moderate negative value of investment preference leads to the lowest level of cooperation.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Regularized randomized iterative algorithms for factorized linear systems

Kui Du

Summary: This article introduces two new regularized randomized iterative algorithms for finding solutions with certain structures of a linear system ABx = b. Compared to other randomized iterative algorithms, these new algorithms can find sparse solutions and have better performance.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Numerical and analytical findings on the Volterra integral-algebraic index-1 system with vanishing delays

Shadi Malek Bagomghaleh, Saeed Pishbin, Gholamhossein Gholami

Summary: This study combines the concept of vanishing delay arguments with a linear system of integral-algebraic equations (IAEs) for the first time. The piecewise collocation scheme is used to numerically solve the Hessenberg type IAEs system with vanishing delays. Well-established results regarding regularity, existence, uniqueness, and convergence of the solution are presented. Two test problems are studied to verify the theoretical achievements in practice.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Reputation incentives with public supervision promote cooperation in evolutionary games

Qi Hu, Tao Jin, Yulian Jiang, Xingwen Liu

Summary: Public supervision plays an important role in guiding and influencing individual behavior. This study proposes a reputation incentives mechanism with public supervision, where each player has the authority to evaluate others. Numerical simulations show that reputation provides positive incentives for cooperation.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

On the numerical integration of singular initial and boundary value problems for generalised Lane-Emden and Thomas-Fermi equations

Werner M. Seiler, Matthias Seiss

Summary: This article proposes a geometric approach for the numerical integration of (systems of) quasi-linear differential equations with singular initial and boundary value problems. It transforms the original problem into computing the unstable manifold at a stationary point of an associated vector field, allowing efficient and robust solutions. Additionally, the shooting method is employed for boundary value problems. Examples of (generalized) Lane-Emden equations and the Thomas-Fermi equation are discussed.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Performance of affine-splitting pseudo-spectral methods for fractional complex Ginzburg-Landau equations

Lisandro A. Raviola, Mariano F. De Leo

Summary: We evaluated the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations and showed that the proposed methods are effective in terms of accuracy and computational cost. They can be applied to both irreversible models and dissipative solitons, offering a promising alternative for solving a wide range of evolutionary partial differential equations.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Minimal pinning control for set stability of Boolean networks

Yong Wang, Jie Zhong, Qinyao Pan, Ning Li

Summary: This paper studies the set stability of Boolean networks using the semi-tensor product of matrices. It introduces an index-vector and an algorithm to verify and achieve set stability, and proposes a hybrid pinning control technique to reduce computational complexity. The issue of synchronization is also discussed, and simulations are presented to demonstrate the effectiveness of the results obtained.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Distributed optimal capacity allocation of integrated energy system via modified ADMM

Ling Cheng, Sirui Zhang, Yingchun Wang

Summary: This paper considers the optimal capacity allocation problem of integrated energy systems (IESs) with power-gas systems for clean energy consumption. It establishes power-gas network models with equality and inequality constraints, and designs a novel full distributed cooperative optimal regulation scheme to tackle this problem. A distributed projection operator is developed to handle the inequality constraints in IESs. The simulation demonstrates the effectiveness of the distributed optimization approach.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

A robust bit-level image encryption based on Bessel map

Abdurrahim Toktas, Ugur Erkan, Suo Gao, Chanil Pak

Summary: This study proposes a novel image encryption scheme based on the Bessel map, which ensures the security and randomness of the ciphered images through the chaotic characteristics and complexity of the Bessel map.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

Dynamic behaviors and non-instantaneous impulsive vaccination of an SAIQR model on complex networks

Xinjie Fu, Jinrong Wang

Summary: In this paper, we establish an SAIQR epidemic network model and explore the global stability of the disease in both disease-free and endemic equilibria. We also consider the control of epidemic transmission through non-instantaneous impulsive vaccination and demonstrate the sustainability of the model. Finally, we validate the results through numerical simulations using a scale-free network.

APPLIED MATHEMATICS AND COMPUTATION (2024)

Article Mathematics, Applied

On improving the efficiency of ADER methods

Maria Han Veiga, Lorenzo Micalizzi, Davide Torlo

Summary: The paper focuses on the iterative discretization of weak formulations in the context of ODE problems. Several strategies to improve the accuracy of the method are proposed, and the method is combined with a Deferred Correction framework to introduce efficient p-adaptive modifications. Analytical and numerical results demonstrate the stability and computational efficiency of the modified methods.

APPLIED MATHEMATICS AND COMPUTATION (2024)