• Title/Summary/Keyword: recursive pattern

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An Improved Exact Algorithm for the Unconstrained Two-Dimensional Cutting Problem (개수 제한이 없는 2차원 절단문제를 위한 향상된 최적해법)

  • Gee, Young-Gun;Kang, Maing-Kyu
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.4
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    • pp.424-431
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    • 2001
  • This paper is concerned with the unconstrained two-dimensional cutting problem of cutting small rectangles (products), each of which has its own profit and size, from a large rectangle (material) to maximize the profit-sum of products. Since this problem is used as a sub-problem to generate a cutting pattern in the algorithms for the two-dimensional cutting stock problem, most of researches for the two-dimensional cutting stock problem have been concentrated on solving this sub-problem more efficiently. This paper improves Hifi and Zissimopoulos's recursive algorithm, which is known as the most efficient exact algorithm, by applying newly proposed upper bound and searching strategy. The experimental results show that the proposed algorithm has been improved significantly in the computational amount of time as compared with the Hifi and Zissimopulos's algorithm.

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DCT/DFT Hybrid Algorithm using Simple Element Inverse (단순 엘레멘트 인버스를 이용한 DCT/DFT 하이브리드 알고리즘)

  • Lee, Kwang-Jae;Park, Dae-Chul;Lee, Moon-Ho;Sin, Tae-Chol;Chen, Zhu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.6C
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    • pp.594-599
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    • 2007
  • In this paper, we present new representation of DCT/DFT matrices via one hybrid architecture. Based on a element inverse matrix factorization algorithm, we show that the DCT and DFT have a same recursive computational pattern, and we can develop an hybrid architecture by using some diagonal matrices.

A Study on the Direct Pole Placement PID Self-Tuning Controller design for DC Servo Motor Control (직류 서어보 전동기 제어를 위한 직접 극배치 PID 자기동조 제어기의 설계)

  • Rhee, Kyu-Young;Nam, Moon-Hyun
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.327-331
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    • 1989
  • This paper concerned about a study on the direct pole placement PID self-tuning controller design for Robot manipulator control system. The method of a direct pole placement self-tuning PID control for a DC motor of robot manipulator tracks a reference velocity in spite of the parameters uncertainties in nonminimum phase system. In this scheme, the parameters of controller are estimated by the recursive least square(RLS) identification algorithm, the pole placement method and diophantine equation. A series of simulation in which minimum phase system and nonminimum phase system are subjected to a pattern of system parameter changes is presented to show some of the features of the proposed control algorithm. The proposed control algorithm which shown are effective for the practical application, and experiments of DC motor speed control for Robot manipulator by a microcomputer IRH-PC/AT are performed and the results are well suited.

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Design of Incremental FCM-based RBF Neural Networks Pattern Classifier for Processing Big Data (빅 데이터 처리를 위한 증분형 FCM 기반 RBF Neural Networks 패턴 분류기 설계)

  • Lee, Seung-Cheol;Oh, Sung-Kwun;Roh, Seok-Beom
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.1343-1344
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    • 2015
  • 본 연구에서는 증분형 FCM(Incremental Fuzzy C-Means: Incremental FCM) 클러스터링 알고리즘을 기반으로 방사형 기저함수 신경회로망(Radial Basis Function Neural Networks: RBFNN) 패턴 분류기를 설계한다. 방사형 기저함수 신경회로망은 조건부에서 가우시안 함수 또는 FCM을 사용하여 적합도를 구하였지만, 제안된 분류기에서는 빅 데이터간의 적합도를 구하기 위해 증분형 FCM을 사용한다. 또한, 빅 데이터를 학습하기 위해 결론부에서 재귀최소자승법(Recursive Least Square Estimation: RLSE)을 사용하여 다항식 계수를 추정한다. 마지막으로 추론부에서는 증분형 FCM에서 구한 적합도와 재귀최소자승법으로 구한 다항식을 이용하여 최종 출력을 구한다.

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Dynamical Behavior of Autoassociative Memory Performaing Novelty Filtering

  • Ko, Hanseok
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.4E
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    • pp.3-10
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    • 1998
  • This paper concerns the dynamical behavior, in probabilistic sense, of a feedforward neural network performing auto association for novelty. Networks of retinotopic topology having a one-to-one correspondence between and output units can be readily trained using back-propagation algorithm, to perform autoassociative mappings. A novelty filter is obtained by subtracting the network output from the input vector. Then the presentation of a "familiar" pattern tends to evoke a null response ; but any anomalous component is enhanced. Such a behavior exhibits a promising feature for enhancement of weak signals in additive noise. As an analysis of the novelty filtering, this paper shows that the probability density function of the weigh converges to Gaussian when the input time series is statistically characterized by nonsymmetrical probability density functions. After output units are locally linearized, the recursive relation for updating the weight of the neural network is converted into a first-order random differential equation. Based on this equation it is shown that the probability density function of the weight satisfies the Fokker-Planck equation. By solving the Fokker-Planck equation, it is found that the weight is Gaussian distributed with time dependent mean and variance.

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Automated Mesh Generation For Finite Element Analysis In Metal Forming (소성 가공의 유한 요소 해석을 위한 자동 요소망 생성)

  • 이상훈;오수익
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.10a
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    • pp.17-23
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    • 1997
  • In the two-dimensional Finite Element Method for forming simulation, mesh generation and remeshing process are very significant. In this paper, using the modified splitting mesh generation algorithm, we can overcome the limitation of existing techniques and acquire mesh, which has optimal mesh density. A modified splitting algorithm for automatically generating quadrilateral mesh within a complex domain is described. Unnecessary meshing process for density representation is removed. Especially, during the mesh generation with high gradient density like as shear band representation, the modified mesh density scheme, which will generate quadrilateral mesh with the minimized error, which takes effect on FEM solver, is introduced.

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A Fault-Tolerant Multicasting Algorithm using Region Encoding Scheme in Multistage Interconnection Networks (다단계 상호연결망에서 영역 부호화 방식을 사용하는 고장 허용 멀티캐스팅 알고리즘)

  • Kim, Jin-Soo;Chang, Jung-Hwan
    • Journal of KIISE:Computer Systems and Theory
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    • v.29 no.3
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    • pp.117-124
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    • 2002
  • This paper proposes a fault-tolerant multicasting algorithm employing the region encoding scheme in multistage interconnection networks (MIN's) containing multiple faulty switching elements. After classifying all switching elements into two subsets with equal sizes in MIN, the proposed algorithm can tolerate the faulty pattern where every fault is contained in the same subset. In order to send a multicast message to its destinations detouring faults, the proposed algorithm uses the recursive scheme that recirculates it through MIN, We prove that this algorithm can route any multicast message in only two passes through the faulty MIN.

Automatic Composition Algorithm based on Fractal Tree (프랙탈 트리를 이용한 자동 작곡 방법)

  • Kwak, Sung-Ho;Yoo, Min-Joon;Lee, In-Kwon
    • 한국HCI학회:학술대회논문집
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    • 2008.02a
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    • pp.618-622
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    • 2008
  • In this paper, we suggest new music composition algorithm based on fractal theory. User can define and control fractal shape by setting an initial state and production rules in L-System. We generate an asymmetric fractal tree based on L-System and probability. Then a music is generated by the fractal tree image using sonification techniques. We introduce two composition algorithm using the fractal tree. First, monophonic music can be generated by mapping x and y axis to velocity and pitch, respectively Second, harmonic music also can be generated by mapping x and y axis to time and pitch, respectively Using our composition algorithm, user can easily generate a music which has repeated pattern created by recursive feature of fractal, and a music which has structure similar to fractal tree image.

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A Study on Performance Improvement of Adaptive SLC System Using Eigenanalysis Method and Comparing with RLS Method (Eigenanalysis 방식의 적응 SLC(sidelobe canceller) 시스템의 적용에 따른 성능향상 및 RLS 방식과외 비교에 관한 연구)

  • Jung, Sin-Chul;Kim, Se-Yon;Lee, Byung-Seub
    • Journal of Advanced Navigation Technology
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    • v.5 no.2
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    • pp.111-122
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    • 2001
  • In this paper, we study the performance of eigencanceller which use a eigenvector and eigenvalue in order to update a weighter vector. Eigencanceller can suppress directional interferences and noise effectively while maintaining specified beam pattern constraints. The constraints and optimal weight vector of eigencanceller vary by using interference and noise or desired signal, interference signal and noise as array input signal. From the analysis results in the steady state, We show that weight vectors in each case are simplified the form of projection equation that belongs to desired subspace orthogonal to interference subspace and eigencanceller has the better performance than RLS method through mathematical analysis and simulation.

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Efficient Solving Methods Exploiting Sparsity of Matrix in Real-Time Multibody Dynamic Simulation with Relative Coordinate Formulation

  • Choi, Gyoojae;Yoo, Yungmyun;Im, Jongsoon
    • Journal of Mechanical Science and Technology
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    • v.15 no.8
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    • pp.1090-1096
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    • 2001
  • In this paper, new methods for efficiently solving linear acceleration equations of multibody dynamic simulation exploiting sparsity for real-time simulation are presented. The coefficient matrix of the equations tends to have a large number of zero entries according to the relative joint coordinate numbering. By adequate joint coordinate numbering, the matrix has minimum off-diagonal terms and a block pattern of non-zero entries and can be solved efficiently. The proposed methods, using sparse Cholesky method and recursive block mass matrix method, take advantages of both the special structure and the sparsity of the coefficient matrix to reduce computation time. The first method solves the η$\times$η sparse coefficient matrix for the accelerations, where η denotes the number of relative coordinates. In the second method, for vehicle dynamic simulation, simple manipulations bring the original problem of dimension η$\times$η to an equivalent problem of dimension 6$\times$6 to be solved for the accelerations of a vehicle chassis. For vehicle dynamic simulation, the proposed solution methods are proved to be more efficient than the classical approaches using reduced Lagrangian multiplier method. With the methods computation time for real-time vehicle dynamic simulation can be reduced up to 14 per cent compared to the classical approach.

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