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A Novel Variable-Fidelity Kriging Surrogate Model Based on Global Optimization for Black-Box Problems
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作者 Yi Guan Pengpeng Zhi Zhonglai Wang 《Computer Modeling in Engineering & Sciences》 2025年第9期3343-3368,共26页
Variable-fidelity(VF)surrogate models have received increasing attention in engineering design optimization as they can approximate expensive high-fidelity(HF)simulations with reduced computational power.A key challen... Variable-fidelity(VF)surrogate models have received increasing attention in engineering design optimization as they can approximate expensive high-fidelity(HF)simulations with reduced computational power.A key challenge to building a VF model is devising an adaptive model updating strategy that jointly selects additional low-fidelity(LF)and/or HF samples.The additional samples must enhance the model accuracy while maximizing the computational efficiency.We propose ISMA-VFEEI,a global optimization framework that integrates an Improved Slime-Mould Algorithm(ISMA)and a Variable-Fidelity Expected Extension Improvement(VFEEI)learning function to construct a VF surrogate model efficiently.First,A cost-aware VFEEI function guides the adaptive LF/HF sampling by explicitly incorporating evaluation cost and existing sample proximity.Second,ISMA is employed to solve the resulting non-convex optimization problem and identify global optimal infill points for model enhancement.The efficacy of ISMA-VFEEI is demonstrated through six numerical benchmarks and one real-world engineering case study.The engineering case study of a high-speed railway Electric Multiple Unit(EMU),the optimization objective of a sanding device attained a minimum value of 1.546 using only 20 HF evaluations,outperforming all the compared methods. 展开更多
关键词 global optimization KRIGING variable-fidelity model slime mould algorithm expected improvement
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An Adaptive Cubic Regularisation Algorithm Based on Affine Scaling Methods for Constrained Optimization
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作者 PEI Yonggang WANG Jingyi 《应用数学》 北大核心 2026年第1期258-277,共20页
In this paper,an adaptive cubic regularisation algorithm based on affine scaling methods(ARCBASM)is proposed for solving nonlinear equality constrained programming with nonnegative constraints on variables.From the op... In this paper,an adaptive cubic regularisation algorithm based on affine scaling methods(ARCBASM)is proposed for solving nonlinear equality constrained programming with nonnegative constraints on variables.From the optimality conditions of the problem,we introduce appropriate affine matrix and construct an affine scaling ARC subproblem with linearized constraints.Composite step methods and reduced Hessian methods are applied to tackle the linearized constraints.As a result,a standard unconstrained ARC subproblem is deduced and its solution can supply sufficient decrease.The fraction to the boundary rule maintains the strict feasibility(for nonnegative constraints on variables)of every iteration point.Reflection techniques are employed to prevent the iterations from approaching zero too early.Under mild assumptions,global convergence of the algorithm is analysed.Preliminary numerical results are reported. 展开更多
关键词 Constrained optimization Adaptive cubic regularisation Affine scaling global convergence
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Impacts of 1.5℃ and 2.0℃ Global Warming on the Onset,Cessation,and Length of the Rainy Season in Global Land Monsoon Regions
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作者 Thierry N.TAGUELA Ibraheem RAJI +4 位作者 Akintomide A.AKINSANOLA Priyanshi SINGHAI Oluwafemi E.ADEYERI Caroline M.WAINWRIGHT Rondrotiana BARIMALALA 《Advances in Atmospheric Sciences》 2026年第1期87-102,共16页
The onset,cessation,and length of the rainy season are crucial for global water resources,agricultural practices,and food security.However,the response of precipitation seasonality to global warming remains uncertain.... The onset,cessation,and length of the rainy season are crucial for global water resources,agricultural practices,and food security.However,the response of precipitation seasonality to global warming remains uncertain.In this study,we analyze how global warming levels(GWLs)of 1.5℃ and 2℃ could affect the timing of rainfall onset(RODs),rainfall cessation(RCDs),and the overall duration of the rainy season(LRS)over global land monsoon(GLM)regions using simulations from CMIP6 under the SSP2-4.5 and SSP5-8.5 scenarios.With high model consensus,our results reveal that RODs are projected to occur later over Southern Africa,North Africa,and South America,but earlier over South Asia and Australia,in a warmer climate.The projected early RODs in Australia are more pronounced at the 2℃ GWL under SSP5-8.5.On the other hand,early RCDs are projected over South America and East Asia,while late RCDs are projected over North Africa,with high inter-model agreement.These changes are associated with a future decrease in LRS in most GLM regions.Additionally,we found that continuous warming over 1.5℃ will further reduce the length of the rainy season,especially over the South America,North Africa,and Southern Africa monsoon regions.The findings underscore the urgent need to mitigate global warming. 展开更多
关键词 rainfall onset rainfall cessation global land monsoon rainy season length CMIP6 projections global warming levels
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Differential Vegetation Feedback on the Global Land Monsoon System during the Mid-Holocene and Last Interglacial
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作者 Zhenqian WANG Qiong ZHANG +1 位作者 Jie CHEN Zixuan HAN 《Advances in Atmospheric Sciences》 2026年第1期103-119,共17页
This study investigates the impact of vegetation-climate feedback on the global land monsoon system during the Last Interglacial(LIG,127000 years BP)and the mid-Holocene(MH,6000 years BP)using the earth system model E... This study investigates the impact of vegetation-climate feedback on the global land monsoon system during the Last Interglacial(LIG,127000 years BP)and the mid-Holocene(MH,6000 years BP)using the earth system model EC-Earth3.Our findings indicate that vegetation changes significantly influence the global monsoon area and precipitation patterns,especially in the North African and Indian monsoon regions.The North African monsoon region experienced the most substantial increase in vegetation during both the LIG and MH,resulting in significant increases in monsoonal precipitation by 9.8%and 6.0%,respectively.The vegetation feedback also intensified the Saharan Heat Low,strengthened monsoonal flows,and enhanced precipitation over the North African monsoon region.In contrast,the Indian monsoon region exhibited divergent responses to vegetation changes.During the LIG,precipitation in the Indian monsoon region decreased by 2.2%,while it increased by 1.6%during the MH.These differences highlight the complex and region-specific impacts of vegetation feedback on monsoon systems.Overall,this study demonstrates that vegetation feedback exerts distinct influences on the global monsoon during the MH and LIG.These findings highlight the importance of considering vegetation-climate feedback in understanding past monsoon variability and in predicting future climate change impacts on monsoon systems. 展开更多
关键词 Last Interglacial MID-HOLOCENE global land monsoon vegetation feedback
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Smart Global Poverty Reduction Cooperation
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作者 LU JIAJUN 《China Today》 2026年第1期39-41,共3页
Experts and officials shared their insights on poverty reduction cooperation and sustainable development during the 2025 International Seminar on Global Poverty Reduction Partnerships.
关键词 sustainable development international seminar OFFICIALS global poverty reduction cooperation experts poverty reduction
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Decreased Interhemispheric Asymmetries of Global Land Monsoon Precipitation toward the Carbon Neutrality Goal
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作者 Xiaochao YU Hua ZHANG +1 位作者 Zhili WANG Bing XIE 《Advances in Atmospheric Sciences》 2026年第1期120-134,共15页
Global land monsoon precipitation(GLMP)is highly sensitive to changes in interhemispheric thermal contrast(ITC).Amplified interhemispheric asymmetries of GLMP due to enhanced ITC driven by high-level anthropogenic emi... Global land monsoon precipitation(GLMP)is highly sensitive to changes in interhemispheric thermal contrast(ITC).Amplified interhemispheric asymmetries of GLMP due to enhanced ITC driven by high-level anthropogenic emissions are expected to simultaneously increase the probability of regional floods and droughts,threatening ecosystems within global terrestrial monsoon regions and the freshwater supply for billions of residents in these areas.In this study,the responses of GLMP to the evolution of ITC toward the carbon neutrality goal are assessed using multimodel outputs from a new model intercomparison project(CovidMIP).The results show that the Northern Hemisphere-Southern Hemisphere(NH-SH)asymmetry of GLMP in boreal summer weakens during the 2040s,as a persistent reduction in well-mixed greenhouse gas(WMGHG)emissions leads to a downward trend in the ITC after 2040.At the same time,the reduction in WMGHG emissions dampens the Eastern Hemisphere-Western Hemisphere(EH-WH)asymmetry of GLMP by inducing La Niña-like cooling and enhancing moisture transport to Inner America.The resulting increases in land monsoon precipitation(LMP)may alleviate drought under the global warming scenario by about 19%-25%and 7%-9%in the WH and SH monsoon regions,respectively.However,a persistent reduction in aerosol emissions in Asia will dominate the increases in LMP in this region until the mid-21st century,and these increases may be approximately 23%-60%of the growth under the global warming scenario.Our results highlight the different rates of response of aerosol and WMGHG concentrations to the carbon neutrality goal,leading to various changes in LMP at global and regional scales. 展开更多
关键词 global land monsoon precipitation interhemispheric thermal contrast carbon neutrality goal CovidMIP
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The Observed and Projected Changes of Global Monsoons:Current Status and Future Perspectives
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作者 Tianjun ZHOU Xiaolong CHEN +11 位作者 Wenxia ZHANG Bo WU Ziming CHEN Jie JIANG Xin HUANG Shuai HU Meng ZUO Wenmin MAN Lixia ZHANG Zhun GUO Pengfei LIN Lu WANG 《Advances in Atmospheric Sciences》 2026年第1期30-58,共29页
The global monsoon system,encompassing the Asian-Australian,African,and American monsoons,sustains two-thirds of the world’s population by regulating water resources and agriculture.Monsoon anomalies pose severe risk... The global monsoon system,encompassing the Asian-Australian,African,and American monsoons,sustains two-thirds of the world’s population by regulating water resources and agriculture.Monsoon anomalies pose severe risks,including floods and droughts.Recent research associated with the implementation of the Global Monsoons Model Intercomparison Project under the umbrella of CMIP6 has advanced our understanding of its historical variability and driving mechanisms.Observational data reveal a 20th-century shift:increased rainfall pre-1950s,followed by aridification and partial recovery post-1980s,driven by both internal variability(e.g.,Atlantic Multidecadal Oscillation)and external forcings(greenhouse gases,aerosols),while ENSO drives interannual variability through ocean-atmosphere interactions.Future projections under greenhouse forcing suggest long-term monsoon intensification,though regional disparities and model uncertainties persist.Models indicate robust trends but struggle to quantify extremes,where thermodynamic effects(warming-induced moisture rise)uniformly boost heavy rainfall,while dynamical shifts(circulation changes)create spatial heterogeneity.Volcanic eruptions and proposed solar radiation modification(SRM)further complicate predictions:tropical eruptions suppress monsoons,whereas high-latitude events alter cross-equatorial flows,highlighting unresolved feedbacks.The emergent constraint approach is booming in terms of correcting future projections and reducing uncertainty with respect to the global monsoons.Critical challenges remain.Model biases and sparse 20th-century observational data hinder accurate attribution.The interplay between natural variability and anthropogenic forcings,along with nonlinear extreme precipitation risks under warming,demands deeper mechanistic insights.Additionally,SRM’s regional impacts and hemispheric monsoon interactions require systematic evaluation.Addressing these gaps necessitates enhanced observational networks,refined climate models,and interdisciplinary efforts to disentangle multiscale drivers,ultimately improving resilience strategies for monsoon-dependent regions. 展开更多
关键词 global monsoons interannual variability decadal variability detection and attribution climate extreme events projection uncertainty
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Correction:M apping the global research trends and hotspots on hypertensive nephropathy:A novel bibliometrics overview
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作者 Yi-Ping Wu Lu-Da Feng +5 位作者 Yun Zhao Man-Rui Wang Jia-You Liu Bo-Yang Li Bo-Ya Zhang Jian-Guo Qin 《Medical Data Mining》 2026年第1期59-60,共2页
Medical Data Mining published an article entitled Mapping the global research trends and hotspots on hypertensive nephropathy:A novel bibliometrics overview on 10 October 2025.The author confirmed this article’s proo... Medical Data Mining published an article entitled Mapping the global research trends and hotspots on hypertensive nephropathy:A novel bibliometrics overview on 10 October 2025.The author confirmed this article’s proof on 28 September 2025 without any questions.However,on 13 November 2025,the Editorial Office of Medical Data Mining noticed an inconsistency between the data presented in the main text and Figure 1.Specifically,erroneous Figure 1 states“a total of 56,691 literatures were obtained through database search”,while the main text in the Search results section states“According to the search term,a total of 59,220 publications were retrieved from the database.”The authors acknowledge that the original version of Figure 1 was incorrect and have provided the revised,correct version in this corrigendum.The authors would like to assert that there is no change in the body text of the article. 展开更多
关键词 HOTSPOTS global research trends hotspots data mining bibliometrics overview research trends hypertensive nephropathy medical data mining BIBLIOMETRICS
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CHAOTIC ANNEALING NEURAL NETWORK FOR GLOBAL OPTIMIZATION OF CONSTRAINED NONLINEAR PROGRAMMING 被引量:1
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作者 张国平 王正欧 袁国林 《Transactions of Tianjin University》 EI CAS 2001年第3期141-146,共6页
Chaotic neural networks have global searching ability.But their applications are generally confined to combinatorial optimization to date.By introducing chaotic noise annealing process into conventional Hopfield netwo... Chaotic neural networks have global searching ability.But their applications are generally confined to combinatorial optimization to date.By introducing chaotic noise annealing process into conventional Hopfield network,this paper proposes a new chaotic annealing neural network (CANN) for global optimization of continuous constrained non linear programming.It is easy to implement,conceptually simple,and generally applicable.Numerical experiments on severe test functions manifest that CANN is efficient and reliable to search for global optimum and outperforms the existing genetic algorithm GAMAS for the same purpose. 展开更多
关键词 global optimization neural network chaotic noise annealing
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A Fast and Efficient Global Router for Congestion Optimization 被引量:2
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作者 许静宇 鲍海云 +3 位作者 洪先龙 蔡懿慈 经彤 顾钧 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2002年第2期136-142,共7页
An efficient parallel global router using random optimization that is independent of net ordering is proposed.Parallel approaches are described and strategies guaranteeing the routing quality are discussed.The wire le... An efficient parallel global router using random optimization that is independent of net ordering is proposed.Parallel approaches are described and strategies guaranteeing the routing quality are discussed.The wire length model is implemented on multiprocessor,which enables the algorithm to approach feasibility of large scale problems.Timing driven model on multiprocessor and wire length model on distributed processors are also presented.The parallel algorithm greatly reduces the run time of routing.The experimental results show good speedups with no degradation of the routing quality. 展开更多
关键词 global routing congestion optimizing global routing graph (GRG) parallel algorithm
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Application of Evolution Sequential Number Theoretic Optimization in Global Optimization
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作者 刘洪谦 袁希钢 方开泰 《Transactions of Tianjin University》 EI CAS 2002年第4期221-225,共5页
Synthesis of chemical processes is of non-convex and multi-modal. Deterministic strategies often fail to find global optimum within reasonable time scales. Stochastic methodologies generally approach global solution i... Synthesis of chemical processes is of non-convex and multi-modal. Deterministic strategies often fail to find global optimum within reasonable time scales. Stochastic methodologies generally approach global solution in probability. In recogniting the state of art status in the discipline, a new approach for global optimization of processes, based on sequential number theoretic optimization (SNTO), is proposed. In this approach, subspaces and feasible points are derived from uniformly scattered points, and iterations over passing the corner of local optimum are enhanced via parallel strategy. The efficiency of the approach proposed is verified by results obtained from various case studies. 展开更多
关键词 global optimization sequential number theoretic optimization parallel optimization
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Research on global path planning based on ant colony optimization for AUV 被引量:7
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作者 王宏健 熊伟 《Journal of Marine Science and Application》 2009年第1期58-64,共7页
Path planning is an important issue for autonomous underwater vehicles (AUVs) traversing an unknown environment such as a sea floor, a jungle, or the outer celestial planets. For this paper, global path planning usi... Path planning is an important issue for autonomous underwater vehicles (AUVs) traversing an unknown environment such as a sea floor, a jungle, or the outer celestial planets. For this paper, global path planning using large-scale chart data was studied, and the principles of ant colony optimization (ACO) were applied. This paper introduced the idea of a visibility graph based on the grid workspace model. It also brought a series of pheromone updating rules for the ACO planning algorithm. The operational steps of the ACO algorithm are proposed as a model for a global path planning method for AUV. To mimic the process of smoothing a planned path, a cutting operator and an insertion-point operator were designed. Simulation results demonstrated that the ACO algorithm is suitable for global path planning. The system has many advantages, including that the operating path of the AUV can be quickly optimized, and it is shorter, safer, and smoother. The prototype system successfully demonstrated the feasibility of the concept, proving it can be applied to surveys of unstructured unmanned environments. 展开更多
关键词 autonomous underwater vehicle (AUV) path planning ant colony optimization pathsmoothing
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A New Hybrid Method for Constrained Global Optimization
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作者 杨若黎 吴沧浦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期16+7-16,共11页
By combining properly the simulated annealing algorithm and the nonlinear programming neural network, a new hybrid method for comtrained global optimization is proposed in this paper. To maintain the applicability of ... By combining properly the simulated annealing algorithm and the nonlinear programming neural network, a new hybrid method for comtrained global optimization is proposed in this paper. To maintain the applicability of the simulated annealing algorithm used in the hybrid method as general as possible, the nonlinear programming neural network is employed at each iteration to find only a feasible solution to the original constrained problem rather than a local optimal solution. Such a feasible solution is obtained by solving an auxiliary optimization problem with a new objective function. The computational results for two numerical examples indicate that the proposed hybrid method for constrained global optimization is not only highly reliable but also much more effcient than the simulated annealing algorithm using the penalty function method to deal with the constraints. 展开更多
关键词 optimization neural networks/global optimization simulated annealing
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基于Global optimization寻找无向完全图的最小生成树
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作者 姚坤 刘希玉 李菲菲 《山东科学》 CAS 2006年第2期48-50,62,共4页
将Global optimization思想引入到寻找无向完全图最小生成树的问题中,提出了Global optimization算法。与Kruskal算法和Prim算法相比之下,此算法避免了求解过程中对生成树中是否出现回路的判断,并在一定程度上降低了时间复杂度。
关键词 global optimization算法 无向完全图 最小生成树
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Hybridizing grey wolf optimization with differential evolution for global optimization and test scheduling for 3D stacked SoC 被引量:97
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作者 Aijun Zhu Chuanpei Xu +2 位作者 Zhi Li Jun Wu Zhenbing Liu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第2期317-328,共12页
A new meta-heuristic method is proposed to enhance current meta-heuristic methods for global optimization and test scheduling for three-dimensional (3D) stacked system-on-chip (SoC) by hybridizing grey wolf optimi... A new meta-heuristic method is proposed to enhance current meta-heuristic methods for global optimization and test scheduling for three-dimensional (3D) stacked system-on-chip (SoC) by hybridizing grey wolf optimization with differential evo- lution (HGWO). Because basic grey wolf optimization (GWO) is easy to fall into stagnation when it carries out the operation of at- tacking prey, and differential evolution (DE) is integrated into GWO to update the previous best position of grey wolf Alpha, Beta and Delta, in order to force GWO to jump out of the stagnation with DE's strong searching ability. The proposed algorithm can accele- rate the convergence speed of GWO and improve its performance. Twenty-three well-known benchmark functions and an NP hard problem of test scheduling for 3D SoC are employed to verify the performance of the proposed algorithm. Experimental results show the superior performance of the proposed algorithm for exploiting the optimum and it has advantages in terms of exploration. 展开更多
关键词 META-HEURISTIC global optimization NP hard problem
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Metamodel-based Global Optimization Using Fuzzy Clustering for Design Space Reduction 被引量:14
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作者 LI Yulin LIU Li +1 位作者 LONG Teng DONG Weili 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第5期928-939,共12页
High fidelity analysis are utilized in modern engineering design optimization problems which involve expensive black-box models.For computation-intensive engineering design problems,efficient global optimization metho... High fidelity analysis are utilized in modern engineering design optimization problems which involve expensive black-box models.For computation-intensive engineering design problems,efficient global optimization methods must be developed to relieve the computational burden.A new metamodel-based global optimization method using fuzzy clustering for design space reduction(MGO-FCR) is presented.The uniformly distributed initial sample points are generated by Latin hypercube design to construct the radial basis function metamodel,whose accuracy is improved with increasing number of sample points gradually.Fuzzy c-mean method and Gath-Geva clustering method are applied to divide the design space into several small interesting cluster spaces for low and high dimensional problems respectively.Modeling efficiency and accuracy are directly related to the design space,so unconcerned spaces are eliminated by the proposed reduction principle and two pseudo reduction algorithms.The reduction principle is developed to determine whether the current design space should be reduced and which space is eliminated.The first pseudo reduction algorithm improves the speed of clustering,while the second pseudo reduction algorithm ensures the design space to be reduced.Through several numerical benchmark functions,comparative studies with adaptive response surface method,approximated unimodal region elimination method and mode-pursuing sampling are carried out.The optimization results reveal that this method captures the real global optimum for all the numerical benchmark functions.And the number of function evaluations show that the efficiency of this method is favorable especially for high dimensional problems.Based on this global design optimization method,a design optimization of a lifting surface in high speed flow is carried out and this method saves about 10 h compared with genetic algorithms.This method possesses favorable performance on efficiency,robustness and capability of global convergence and gives a new optimization strategy for engineering design optimization problems involving expensive black box models. 展开更多
关键词 global optimization metamodel-based optimization reduction of design space fuzzy clustering
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A New Chaotic Parameters Disturbance Annealing Neural Network for Solving Global Optimization Problems 被引量:15
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作者 MAWei WANGZheng-Ou 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第4期385-392,共8页
Since there were few chaotic neural networks applicable to the global optimization, in this paper, we propose a new neural network model ? chaotic parameters disturbance annealing (CPDA) network, which is superior to ... Since there were few chaotic neural networks applicable to the global optimization, in this paper, we propose a new neural network model ? chaotic parameters disturbance annealing (CPDA) network, which is superior to other existing neural networks, genetic algorithms, and simulated annealing algorithms in global optimization. In the present CPDA network, we add some chaotic parameters in the energy function, which make the Hopfield neural network escape from the attraction of a local minimal solution and with the parameter annealing, our model will converge to the global optimal solutions quickly and steadily. The converge ability and other characters are also analyzed in this paper. The benchmark examples show the present CPDA neural network's merits in nonlinear global optimization. 展开更多
关键词 Hopfield neural network global optimization chaotic parameters disturbance simulated annealing
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Seeker optimization algorithm:a novel stochastic search algorithm for global numerical optimization 被引量:15
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作者 Chaohua Dai Weirong Chen +1 位作者 Yonghua Song Yunfang Zhu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期300-311,共12页
A novel heuristic search algorithm called seeker op- timization algorithm (SOA) is proposed for the real-parameter optimization. The proposed SOA is based on simulating the act of human searching. In the SOA, search... A novel heuristic search algorithm called seeker op- timization algorithm (SOA) is proposed for the real-parameter optimization. The proposed SOA is based on simulating the act of human searching. In the SOA, search direction is based on empir- ical gradients by evaluating the response to the position changes, while step length is based on uncertainty reasoning by using a simple fuzzy rule. The effectiveness of the SOA is evaluated by using a challenging set of typically complex functions in compari- son to differential evolution (DE) and three modified particle swarm optimization (PSO) algorithms. The simulation results show that the performance of the SOA is superior or comparable to that of the other algorithms. 展开更多
关键词 swarm intelligence global optimization human searching behaviors seeker optimization algorithm.
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Global Optimization Method Using SLE and Adaptive RBF Based on Fuzzy Clustering 被引量:8
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作者 ZHU Huaguang LIU Li LONG Teng ZHAO Junfeng 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2012年第4期768-775,共8页
High fidelity analysis models,which are beneficial to improving the design quality,have been more and more widely utilized in the modern engineering design optimization problems.However,the high fidelity analysis mode... High fidelity analysis models,which are beneficial to improving the design quality,have been more and more widely utilized in the modern engineering design optimization problems.However,the high fidelity analysis models are so computationally expensive that the time required in design optimization is usually unacceptable.In order to improve the efficiency of optimization involving high fidelity analysis models,the optimization efficiency can be upgraded through applying surrogates to approximate the computationally expensive models,which can greately reduce the computation time.An efficient heuristic global optimization method using adaptive radial basis function(RBF) based on fuzzy clustering(ARFC) is proposed.In this method,a novel algorithm of maximin Latin hypercube design using successive local enumeration(SLE) is employed to obtain sample points with good performance in both space-filling and projective uniformity properties,which does a great deal of good to metamodels accuracy.RBF method is adopted for constructing the metamodels,and with the increasing the number of sample points the approximation accuracy of RBF is gradually enhanced.The fuzzy c-means clustering method is applied to identify the reduced attractive regions in the original design space.The numerical benchmark examples are used for validating the performance of ARFC.The results demonstrates that for most application examples the global optima are effectively obtained and comparison with adaptive response surface method(ARSM) proves that the proposed method can intuitively capture promising design regions and can efficiently identify the global or near-global design optimum.This method improves the efficiency and global convergence of the optimization problems,and gives a new optimization strategy for engineering design optimization problems involving computationally expensive models. 展开更多
关键词 global optimization Latin hypercube design radial basis function fuzzy clustering adaptive response surface method
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A New Subdivision Algorithm for the Bernstein Polynomial Approach to Global Optimization 被引量:6
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作者 P.S.V.Nataraj M.Arounassalame 《International Journal of Automation and computing》 EI 2007年第4期342-352,共11页
In this paper, an improved algorithm is proposed for unconstrained global optimization to tackle non-convex nonlinear multivariate polynomial programming problems. The proposed algorithm is based on the Bernstein poly... In this paper, an improved algorithm is proposed for unconstrained global optimization to tackle non-convex nonlinear multivariate polynomial programming problems. The proposed algorithm is based on the Bernstein polynomial approach. Novel features of the proposed algorithm are that it uses a new rule for the selection of the subdivision point, modified rules for the selection of the subdivision direction, and a new acceleration device to avoid some unnecessary subdivisions. The performance of the proposed algorithm is numerically tested on a collection of 16 test problems. The results of the tests show the proposed algorithm to be superior to the existing Bernstein algorithm in terms of the chosen performance metrics. 展开更多
关键词 Bernstein polynomials global optimization nonlinear optimization polynomial optimization unconstrained optimization.
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