• Title/Summary/Keyword: multimodal function optimization

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Coupling Particles Swarm Optimization for Multimodal Electromagnetic Problems

  • Pham, Minh-Trien;Song, Min-Ho;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • v.5 no.3
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    • pp.423-430
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    • 2010
  • Particle swarm optimization (PSO) algorithm is designed to find a single global optimal point. However, the PSO needs to be modified in order to find multiple optimal points of a multimodal function. These modifications usually divide a swarm of particles into multiple subswarms; in turn, these subswarms try to find their own optimal point, resulting in multiple optimal points. In this work, we present a new PSO algorithm, called coupling PSO to find multiple optimal points of a multimodal function based on coupling particles. In the coupling PSO, each main particle may generate a new particle to form a couple, after which the couple searches its own optimal point using non-stop-moving PSO algorithm. We tested the suggested algorithm and other ones, such as clustering PSO and niche PSO, over three analytic functions. The coupling PSO algorithm was also applied to solve a significant benchmark problem, the TEAM workshop problem 22.

An Enhanced Genetic Algorithm for Optimization of Multimodal Function (다봉성 함수의 최적화를 위한 향상된 유전알고리듬의 제안)

  • 김영찬;양보석
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.241-244
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    • 2000
  • The optimization method based on an enhanced genetic algorithms is proposed for multimodal function optimization in this paper This method is consisted of two main steps. The first step is global search step using the genetic algorithm(GA) and function assurance criterion(FAC). The belonging of an population to initial solution group is decided according to the FAC. The second step is to decide resemblance between individuals and research optimum solutions by single point method in reconstructive research space. Two numerical examples are also presented in this paper to comparing with conventional methods.

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Optimization of Multimodal Function Using An Enhanced Genetic Algorithm and Simplex Method (향상된 유전알고리듬과 Simplex method을 이용한 다봉성 함수의 최적화)

  • Kim, Young-Chan;Yang, Bo-Suk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.587-592
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    • 2000
  • The optimization method based on an enhanced genetic algorithms is proposed for multimodal function optimization in this paper. This method is consisted of two main steps. The first step is global search step using the genetic algorithm(GA) and function assurance criterion(FAC). The belonging of an population to initial solution group is decided according to the FAC. The second step is to decide the similarity between individuals, and to research the optimum solutions by simplex method in reconstructive search space. Two numerical examples are also presented in this paper to comparing with conventional methods.

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A Genetic Algorithm with a Mendel Operator for Multimodal Function Optimization (멀티모달 함수의 최적화를 위한 먼델 연산 유전자 알고리즘)

  • Song, In-Soo;Shim, Jae-Wan;Tahk, Min-Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.12
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    • pp.1061-1069
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    • 2000
  • In this paper, a new genetic algorithm is proposed for solving multimodal function optimization problems that are not easily solved by conventional genetic algorithm(GA)s. This algorithm finds one of local optima first and another optima at the next iteration. By repeating this process, we can locate all the local solutions instead of one local solution as in conventional GAs. To avoid converging to the same optimum again, we devise a new genetic operator, called a Mendel operator which simulates the Mendels genetic law. The proposed algorithm remembers the optima obtained so far, compels individuals to move away from them, and finds a new optimum.

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A Parallel Genetic Algorithms with Diversity Controlled Migration and its Applicability to Multimodal Function Optimization

  • YAMAMOTO, Fujio;ARAKI, Tomoyuki
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.629-633
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    • 1998
  • Proposed here is a parallel genetic algorithm accompanied with intermittent migration among subpopulations. It is intended to maintain diversity in the population for a long period . This method was applied to finding out the global maximum of some multimodal functions for which no other methods seem to be useful . Preferable results and their detailed analysis are also presented.

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An Enhanced Genetic Algorithm for Optimization of Multimodal (다봉성 함수의 최적화를 위한 향상된 유전알고리듬의 제안)

  • 김영찬;양보석
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.5
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    • pp.373-378
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    • 2001
  • The optimization method based on an enhanced genetic algorithms is for multimodal function optimization in this paper. This method is consisted of two main steps. The first step is a global search step using the genetic algorithm(GA) and function assurance criterion(FAC). The belonging of an population to initial solution group is decided according to the FAC. The second step is to decide the similarity between individuals, and to research the optimum solutions by single point method in reconstructive search space. Four numerical examples are also presented in this papers to comparing with conventional methods.

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Utilizing Particle Swarm Optimization into Multimodal Function Optimization

  • Pham, Minh-Trien;Baatar, Nyambayar;Koh, Chang-Seop
    • Proceedings of the KIEE Conference
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    • 2008.10c
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    • pp.86-89
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    • 2008
  • There are some modified methods such as K-means Clustering Particle Swarm Optimization and Niching Particle Swarm Optimization based on PSO which aim to locate all optima in multimodal functions. K-means Clustering Particle Optimization could locate all optima of functions with finite number of optima. Niching Particle Swarm Optimization is able to locate all of optima but high computing time. Because of those disadvantages, we proposed a new method that could locate all of optima with reasonal time. We applied our method and others as well to analytic functions. By comparing the outcomes, it is shown that our method is significantly more effective than the two others.

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Multimodal Brain Image Registration based on Surface Distance and Surface Curvature Optimization (표면거리 및 표면곡률 최적화 기반 다중모달리티 뇌영상 정합)

  • Park Ji-Young;Choi Yoo-Joo;Kim Min-Jeong;Tae Woo-Suk;Hong Seung-Bong;Kim Myoung-Hee
    • The KIPS Transactions:PartA
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    • v.11A no.5
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    • pp.391-400
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    • 2004
  • Within multimodal medical image registration techniques, which correlate different images and Provide integrated information, surface registration methods generally minimize the surface distance between two modalities. However, the features of two modalities acquired from one subject are similar. So, it can improve the accuracy of registration result to match two images based on optimization of both surface distance and shape feature. This research proposes a registration method which optimizes surface distance and surface curvature of two brain modalities. The registration process has two steps. First, surface information is extracted from the reference images and the test images. Next, the optimization process is performed. In the former step, the surface boundaries of regions of interest are extracted from the two modalities. And for the boundary of reference volume image, distance map and curvature map are generated. In the optimization step, a transformation minimizing both surface distance and surface curvature difference is determined by a cost function referring to the distance map and curvature map. The applying of the result transformation makes test volume be registered to reference volume. The suggested cost function makes possible a more robust and accurate registration result than that of the cost function using the surface distance only. Also, this research provides an efficient means for image analysis through volume visualization of the registration result.

Improvement of the GA's Convergence Speed Using the Sub-Population (보조 모집단을 이용한 유전자 알고리즘의 수렴속도 개선)

  • Lee, Hong-Kyu;Lee, Jae-Oh
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.10
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    • pp.6276-6281
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    • 2014
  • Genetic Algorithms (GAs) are efficient methods for search and optimization problems. On the other hand, there are some problems associated with the premature convergence to local optima of the multimodal function, which has multi peaks. The problem is related to the lack of genetic diversity of the population to cover the search spaces sufficiently. A sharing and crowding method were introduced. This paper proposed strategies to improve the convergence speed and the convergence to the global optimum for solving the multimodal optimization function. These strategies included the random generated sub-population that were well-distributed and spread widely through search spaces. The results of the simulation verified the effects of the proposed method.

A Study on Niching Genetic Algorithm for Multimodal Function Optimization (Multimodal 함수 최적화를 위한 Niching 유전 알고리즘에 대한 연구)

  • Lee, Chul-Gyun;Cho, Dong-Hyeok;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1998.07a
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    • pp.76-78
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    • 1998
  • Niching methods extend genetic algorithms to domains that require the location of multiple solutions. But, current niching methods have some of drawbacks in the ability of search and preservation of solutions. So, this paper presents a new technique, named as Restricted Competition Selection(RCS). Then, RCS method is compared with sharing and deterministic crowding by applying to some multimodal problems in order to verify that it has more favorable properties.

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