• 제목/요약/키워드: Problem Decomposition

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Multiscale self-coordination of bidimensional empirical mode decomposition in image fusion

  • An, Feng-Ping;Zhou, Xian-Wei;Lin, Da-Chao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.4
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    • pp.1441-1456
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    • 2015
  • The bidimensional empirical mode decomposition (BEMD) algorithm with high adaptability is more suitable to process multiple image fusion than traditional image fusion. However, the advantages of this algorithm are limited by the end effects problem, multiscale integration problem and number difference of intrinsic mode functions in multiple images decomposition. This study proposes the multiscale self-coordination BEMD algorithm to solve this problem. This algorithm outside extending the feather information with the support vector machine which has a high degree of generalization, then it also overcomes the BEMD end effects problem with conventional mirror extension methods of data processing,. The coordination of the extreme value point of the source image helps solve the problem of multiscale information fusion. Results show that the proposed method is better than the wavelet and NSCT method in retaining the characteristics of the source image information and the details of the mutation information inherited from the source image and in significantly improving the signal-to-noise ratio.

A Case Study on the Application of Decomposition Principle to a Linear Programming Problem (분할기법(分割技法)을 이용한 선형계획법(線型計劃法)의 응용(應用)에 관한 사례 연구(事例 硏究))

  • Yun, In-Jung;Kim, Seong-In
    • IE interfaces
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    • v.1 no.1
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    • pp.1-7
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    • 1988
  • This paper discusses the applicability of the decomposition principle to an LP (Linear Programming) problem. Through a case study on product mix problems in a chemical process of Korean Steel Chemical Co., Ltd., the decomposition algorithm, LP Simplex method and a modified method are compared and evaluated in computation time and number of iterations.

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A NUMERICAL METHOD FOR CAUCHY PROBLEM USING SINGULAR VALUE DECOMPOSITION

  • Lee, June-Yub;Yoon, Jeong-Rock
    • Communications of the Korean Mathematical Society
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    • v.16 no.3
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    • pp.487-508
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    • 2001
  • We consider the Cauchy problem for Laplacian. Using the single layer representation, we obtain an equivalent system of boundary integral equations. We show the singular values of the ill-posed Cauchy operator decay exponentially, which means that a small error is exponentially amplified in the solution of the Cauchy problem. We show the decaying rate is dependent on the geometry of he domain, which provides the information on the choice of numerically meaningful modes. We suggest a pseudo-inverse regularization method based on singular value decomposition and present various numerical simulations.

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A damage localization method based on the singular value decomposition (SVD) for plates

  • Yang, Zhi-Bo;Yu, Jin-Tao;Tian, Shao-Hua;Chen, Xue-Feng;Xu, Guan-Ji
    • Smart Structures and Systems
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    • v.22 no.5
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    • pp.621-630
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    • 2018
  • Boundary effect and the noise robustness are the two crucial aspects which affect the effectiveness of the damage localization based on the mode shape measurements. To overcome the boundary effect problem and enhance the noise robustness in damage detection, a simple damage localization method is proposed based on the Singular Value Decomposition (SVD) for the mode shape of composite plates. In the proposed method, the boundary effect problem is addressed by the decomposition and reconstruction of mode shape, and the noise robustness in enhanced by the noise filtering during the decomposition and reconstruction process. Numerical validations are performed on plate-like structures for various damage and boundary scenarios. Validations show that the proposed method is accurate and effective in the damage detection for the two-dimensional structures.

Domain Decomposition Method for Elasto-Plastic Problem (탄소성문제 적용을 위한 영역분할법)

  • Bae, Byung-Kyu;Lee, Joon-Seong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.8
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    • pp.3384-3390
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    • 2011
  • This paper describes a domain decomposition method of parallel finite element analysis for elasto-plastic structural problems. As a parallel numeral algorithm for the finite element analysis, the authors have utilized the domain decomposition method combined with an iterative solver such as the conjugate gradient method. Here the domain decomposition method algorithm was applied directly to elasto-plastic problem. The present system was successfully applied to three-dimensional elasto-plastic structural problems.

Decomposition Based Parallel Processing Technique for Efficient Collaborative Optimization (효율적 분산협동설계를 위한 분해 기반 병렬화 기법의 개발)

  • Park, Hyung-Wook;Kim, Sung-Chan;Kim, Min-Soo;Choi, Dong-Hoon
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.818-823
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    • 2000
  • In practical design studies, most of designers solve multidisciplinary problems with complex design structure. These multidisciplinary problems have hundreds of analysis and thousands of variables. The sequence of process to solve these problems affects the speed of total design cycle. Thus it is very important for designer to reorder original design processes to minimize total cost and time. This is accomplished by decomposing large multidisciplinary problem into several multidisciplinary analysis subsystem (MDASS) and processing it in parallel. This paper proposes new strategy for parallel decomposition of multidisciplinary problem to raise design efficiency by using genetic algorithm and shows the relationship between decomposition and multidisciplinary design optimization (MDO) methodology.

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A Decomposition Method for Two stage Stochstic Programming with Block Diagonal Structure (블록 대각 구조를 지닌 2단계 확률계획법의 분해원리)

  • 김태호;박순달
    • Journal of the Korean Operations Research and Management Science Society
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    • v.10 no.1
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    • pp.9-13
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    • 1985
  • This paper develops a decomposition method for stochastic programming with a block diagonal structure. Here we assume that the right-hand side random vector of each subproblem is differente each other. We first, transform this problem into a master problem, and subproblems in a similar way to Dantizig-Wolfe's Decomposition Princeple, and then solve this master problem by solving subproblems. When we solve a subproblem, we first transform this subproblem to a Deterministic Equivalent Programming (DEF). The form of DEF depends on the type of the random vector of the subproblem. We found the subproblem with finite discrete random vector can be transformed into alinear programming, that with continuous random vector into a convex quadratic programming, and that with random vector of unknown distribution and known mean and variance into a convex nonlinear programming, but the master problem is always a linear programming.

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Hybrid Heuristic Using Hierarchical Decomposition and Optimization for the Nurse Rostering Problem (계층적 분할 방법과 최적화를 이용한 간호원 로스터링 해법연구)

  • Jang, Yoon Hee;Kim, Sun Hoon;Lee, Young Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.40 no.2
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    • pp.184-194
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    • 2014
  • Numerous studies have been studied to provide an efficient solution for the Nurse Rostering Problem (NRP), most of which have suffered from its complexity arising from incorporating nurse's work shift and ability. The test-bed data for the NRP is released for the public Competition in 2010. This study suggests a new mixed integer programming for Nurse Rostering Problem and develops a hybrid approach, where a hierarchical decomposition and the corresponding optimization are combined. The computation experiment is performed to show that the suggested algorithms may give a better solution in various instances, compared to the one appeared in the literature.

Compound Noun Decomposition by using Syllable-based Embedding and Deep Learning (음절 단위 임베딩과 딥러닝 기법을 이용한 복합명사 분해)

  • Lee, Hyun Young;Kang, Seung Shik
    • Smart Media Journal
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    • v.8 no.2
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    • pp.74-79
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    • 2019
  • Traditional compound noun decomposition algorithms often face challenges of decomposing compound nouns into separated nouns when unregistered unit noun is included. It is very difficult for those traditional approach to handle such issues because it is impossible to register all existing unit nouns into the dictionary such as proper nouns, coined words, and foreign words in advance. In this paper, in order to solve this problem, compound noun decomposition problem is defined as tag sequence labeling problem and compound noun decomposition method to use syllable unit embedding and deep learning technique is proposed. To recognize unregistered unit nouns without constructing unit noun dictionary, compound nouns are decomposed into unit nouns by using LSTM and linear-chain CRF expressing each syllable that constitutes a compound noun in the continuous vector space.

A Polynomial-time Algorithm to Find Optimal Path Decompositions of Trees (트리의 최적 경로 분할을 위한 다항시간 알고리즘)

  • An, Hyung-Chan
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.5_6
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    • pp.195-201
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    • 2007
  • A minimum terminal path decomposition of a tree is defined as a partition of the tree into edge-disjoint terminal-to-terminal paths that minimizes the weight of the longest path. In this paper, we present an $O({\mid}V{\mid}^2$time algorithm to find a minimum terminal path decomposition of trees. The algorithm reduces the given optimization problem to the binary search using the corresponding decision problem, the problem to decide whether the cost of a minimum terminal path decomposition is at most l. This decision problem is solved by dynamic programing in a single traversal of the tree.