• 제목/요약/키워드: Polynomial iteration

검색결과 30건 처리시간 0.021초

QUASI-LIKELIHOOD REGRESSION FOR VARYING COEFFICIENT MODELS WITH LONGITUDINAL DATA

  • Kim, Choong-Rak;Jeong, Mee-Seon;Kim, Woo-Chul;Park, Byeong-U.
    • Journal of the Korean Statistical Society
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    • 제33권4호
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    • pp.367-379
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    • 2004
  • This article deals with the nonparametric analysis of longitudinal data when there exist possible correlations among repeated measurements for a given subject. We consider a quasi-likelihood regression model where a transformation of the regression function through a link function is linear in time-varying coefficients. We investigate the local polynomial approach to estimate the time-varying coefficients, and derive the asymptotic distribution of the estimators in this quasi-likelihood context. A real data set is analyzed as an illustrative example.

고차민감도를 이용한 전기기기 형상 최적화 (Shape Optimization of Electromagnetic Devices using High Order Derivativ)

  • 안영우;곽인구;한송엽;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 A
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    • pp.241-243
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    • 1998
  • This paper describes a new method for the faster shape optimization of the electromagnetic devices. In a conventional iterative method of shape design optimization using design sensitivity based on a finite element method, meshes for a new shape of the model are generated and a discretized system equation is solved using the meshes in each iteration. They cause much design time. To save this time, a polynomial approximation of the finite element solution with respect to the geometric design parameters using Taylor expansion is constructed. This approximate state variable expressed explicitly in terms of design parameters is employed in a gradient-based optimization method. The proposed method is applied to the shape design of quadrupole magnet.

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Recent developments in the GENESIS code based on the Legendre polynomial expansion of angular flux method

  • Yamamoto, Akio;Giho, Akinori;Endo, Tomohiro
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1143-1156
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    • 2017
  • This paper describes recent development activities of the GENESIS code, which is a transport code for heterogeneous three-dimensional geometry, focusing on applications to reactor core analysis. For the treatment of anisotropic scattering, the concept of the simplified Pn method is introduced in order to reduce storage of flux moments. The accuracy of the present method is verified through a benchmark problem. Next, the iteration stability of the GENESIS code for the highly voided condition, which would appear in a severe accident (e.g., design extension) conditions, is discussed. The efficiencies of the coarse mesh finite difference and generalized coarse mesh rebalance acceleration methods are verified with various stabilization techniques. Use of the effective diffusion coefficient and the artificial grid diffusion coefficients are found to be effective to stabilize the acceleration calculation in highly voided conditions.

열간압연중 압연하중 및 압연동력 예측 모델 (Evaluzation of Model equation Predicting Roll Force and Roll Power during Hot Rolling)

  • 곽우진;황상무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 제3회 압연심포지엄 논문집 압연기술의 미래개척 (Exploitation of Future Rolling Technologies)
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    • pp.308-312
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    • 1999
  • Developed the model equations which calculate roll force, roll power during hot rolling in real time. The variables which mainly effect on the roll force, roll power are shape factor, reduction, roll diameter, roll velocity, strip inlet temperature, carbon content of strip and strip-roll contact friction coefficient. Among these variables roll diameter, roll velocity, inlet temperature, carbon content and friction coefficient can be excluded in interpolated model equation by introducing equation of die force(F'), power(p') of the frictionless uniform plane strain compression which can be calculated without iteration. At the case of coulomb friction coefficient of 0.3, we evaluated coefficient of polynomial equations of {{{{ { F} over {F' } }}}}, {{{{ { Pf} over {Pd }, { Pd} over {P' } }}}} from the result of finite element analysis using interpolation. It was found that the change of values of {{{{ { F} over {F' }, { P} over {P' } }}}} with the friction coefficient tend to straight line which slope depend only on shape factor. With these properties, developed model equations could be extended to other values of coulomb friction coefficient. To verify developed roll force, roll power model equation we compared the results from these model equation with the results from these model equation with the results from finite element analysis in factory process condition.

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Higher order static analysis of truncated conical sandwich panels with flexible cores

  • Fard, Keramat Malekzadeh
    • Steel and Composite Structures
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    • 제19권6호
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    • pp.1333-1354
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    • 2015
  • A higher order analytical solution for static analysis of a truncated conical composite sandwich panel subjected to different loading conditions was presented in this paper which was based on a new improved higher order sandwich panel theory. Bending analysis of sandwich structures with flexible cores subjected to concentrated load, uniform distributed load on a patch, harmonic and uniform distributed loads on the top and/or bottom face sheet of the sandwich structure was also investigated. For the first time, bending analysis of truncated conical composite sandwich panels with flexible cores was performed. The governing equations were derived by principle of minimum potential energy. The first order shear deformation theory was used for the composite face sheets and for the core while assuming a polynomial description of the displacement fields. Also, the in-plane hoop stresses of the core were considered. In order to assure accuracy of the present formulations, convergence of the results was examined. Effects of types of boundary conditions, types of applied loads, conical angles and fiber angles on bending analysis of truncated conical composite sandwich panels were studied. As, there is no research on higher order bending analysis of conical sandwich panels with flexible cores, the results were validated by ABAQUS FE code. The present approach can be linked with the standard optimization programs and it can be used in the iteration process of the structural optimization. The proposed approach facilitates investigation of the effect of physical and geometrical parameters on the bending response of sandwich composite structures.

QoE-driven Joint Resource Allocation and User-paring in Virtual MIMO SC-FDMA Systems

  • Hu, YaHui;Ci, Song
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권10호
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    • pp.3831-3851
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    • 2015
  • This paper is concerned with the problem of joint resource allocation and user-pairing in virtual MIMO SC-FDMA systems to improve service quality of experience (QoE). No-reference logarithmic model is introduced to quantify service experience for each user and the objective is to maximize sum of all user's mean of score (MOS). We firstly formulate the optimal problem into an S-dimensional (S-D) assignment problem. Then, to solve this problem, the modified Lagrangian relaxation algorithm is deduced to obtain the suboptimal result of joint user-paring and subchannel allocation. The merits of this solution are as follows. First, the gap between its results and the global optimal one can be quantified and controlled by balancing the complexity and accuracy, which merit the other suboptimal algorithms do not have. Secondly, it has the polynomial computational complexity and the worst case complexity is O(3LN3), where L is the maximum iteration time and N is the number of subchannels. Simulations also prove that our proposed algorithm can effectively improve quality of experience and the gap between our proposed and the optimal algorithms can be controlled below 8%.

새로운 비대칭 구조를 갖는 터보부호의 Flattening Effect의 성능향상에 관한 연구 (Performance Improvement of the battening Effect of the new Asymmetric Turbo Codes)

  • 정대호;정성태;김환용
    • 한국통신학회논문지
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    • 제27권6A호
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    • pp.533-539
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    • 2002
  • 터보부호는 반복복호 수와 인터리버 크기가 증가할수록 AWGN 채널환경에서 BER 성능이 향상된다는 것은 잘 알려진 사실이다. 그러나 반복복호 수와 인터리버 크기가 증가하면 상대적으로 복호 과정에서 복호지연과 계산량이 증가하게 된다. 또한 임의의 SM에서는 더 이상 BER 성능의 향상이 없는 flattening effect 현상이 발생하기 때문에 오류정정 능력의 한계에 도달하는 큰 단점을 가진다. 따라서 본 논문에서는 터보부호의 flattening effect 현상을 개선시키기 위해서 두 구성부호기의 구속장 뿐만아니라 생성다항식 자체도 서로 다르게 구성한 새로운 비대칭 구조를 갖는 터보부호를 제안한다. 제안된 비대칭 터보부호는 각각의 구성부호기의 생성다항식을 원시다항식과 소수다항식을 혼합한 형태로 구성하였고 구속장도 서로 다르게 구성하여 다양한 구조와 다양한 유효자유거리(effective free distance)를 갖도록 구성하였다. 제안된 비대칭 터보부호는 부호율이 1/3일 때 log-MAP 복호방법을 이용하여 상대적으로 작은 프레임(128. 256)과 큰 프레임(512, 1024)으로 인터리버 크기를 조절하면서 그 성능을 분석하였다. 모의실험 결과, 기존의 터보부호에 비해서 $10^{-4}$의 BER 영역에서 작은 프레임의 경우에 1.7dB~2.5dB이상의 우수한 성능을 나타냈으며 큰 프레임의 경우에 2.0dB~2.5dB 이상의 우수한 성능을 나타냄을 확인할 수 있었고 flattening effect 현상의 개선효과가 있음을 확인할 수 있었다.

보 이론을 이용한 대퇴골 재생성의 해석 (Book Remodeling Analysis of Femur Using Hybrid Beam Theory)

  • 김승종;정재연;하성규
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.329-337
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    • 2000
  • An investigation has been performed to develop an analysis tool based on a nonlinear beam theory, which can be used to predict the long-term behavior of an artificial hip joint. The nonlinear behav ior of the femur arise from the coupled dependence of the bone density and the mechanical properties on each other. The beam theory together with its numerical algorithm is developed to take into account the nonlinear bone remodeling process of the femur that is long enough to be assumed as a beam. A piecewise linear curve for the bone remodeling rate is used in the bone remodeling theory and the surface area density of bone is modeled as the third order polynomial function of bone density. At each section of the beam, a constant curvature is assumed and the longitudinal strains are also assumed to vary linearly across the section. The Newton-Rhapson iteration method is used to solve the nonlinear equations for each cross section of the bone and a backward method is used to march along the time. The density and the remodeling signal ar, calculated along with time for the various time steps, and the developed beam theory has been verified by comparing with the results of finite element analysis of a remodeling bone with an artificial hip joint of titanium prosthesis subjected to uni-axial loads and pure bending moment. It is concluded that the developed beam theory can be used to predict the long-term behavior of the femur and thus to design the artificial hip prosthesis.

영상 정합을 위한 Block-Coordinate Gauss-Newton 최적화 (Block-Coordinate Gauss-Newton Optimization for Image Registration)

  • 김동식
    • 대한전자공학회논문지SP
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    • 제44권6호
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    • pp.1-8
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    • 2007
  • 본 논문에서는 영상의 공간 정합과 서로 다른 노출의 보정을 동시에 최적화하기 위한 연구를 수행하였다. 노출 보정은 영상의 밝기 보정이라는 틀 안에서 두 영상의 관계식을 다항식 근사를 통하여 이루는데, 이를 가우스-뉴톤 방식의 비선형 최적화 기법을 이용하여 공간 정합과 동시에 수행을 한다. 본 논문에서는 보다 신뢰성 있고 단순한 동시 최적화를 위하여 블록 좌표(block-coordinate) 방법과의 결합을 제안하며 심도 있는 모의실험을 통하여 성능을 비교하였다. 나아가서 블록 좌표 방법의 단순성과 융통성을 이용하여 밝기 보정에 회기 분석 기법을 도입하여 여러 종류의 영상에 대하여 안정성에서도 우수한 성능을 보이는 최적화를 수행하였다. 기존의 가우스-뉴톤 최적화에 블록 좌표 방법을 결합하여 일반 가우스-뉴톤 최적화에 비하여 계산을 단순화시키면서 보다 빠르게 수렴하는 특성을 보이며 대등한 성능의 칙적화를 수행할 수 있었다. 실험 결과를 보면 특정 영상에서 10회 반복정도로 원하는 수렴 결과를 얻었는데 이는 알고리듬 수행을 위한 계산을 50%정도 감소시킨 것이다 또한 에러도 1.5dB이상 감소시켰다.

탄소 나노튜브 보강 기능경사복합재 판의 등기하 거동 해석 (Isogeometric Analysis of FG-CNTRC Plate in Bending based on Higher-order Shear Deformation Theory)

  • 전준태
    • 한국재난정보학회 논문집
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    • 제17권4호
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    • pp.839-847
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    • 2021
  • 연구목적: 본 연구에서는 휨을 받는 탄소 나노튜브 보강 기능경사복합재 판의 구조적 거동을 해석하였다. 이를 위해, 등기하해석과 고차전단변형이론을 결합한 수치해석 방법을 이용하였다. 연구방법: 전단보정계수를 사용하지 않고 기하학적 비선형성을 고려할 수 있는 고차전단변형이론을 통하여 휨이 작용하는 탄소 나노튜브 보강 기능경사복합재 판의 비선형 거동방정식을 유도하였으며, 수정된 Newton-Raphson 반복 기법을 사용하여 등기하해석방법에 기반한 시스템 방정식의 해를 구하였다. 연구결과: 탄소 나노튜브의 배치 양상, 폭-두께 비 및 경계조건은 휨을 받는 탄소 나노튜브 보강 기능경사복합재 판의 구조적 거동에 많은 영향을 끼침을 확인하였다. 결론: 제안된 고차전단변형이론에 근거한 등기하해석 방법은 휨을 받는 탄소 나노튜브 보강 기능경사복합재 판의 구조적 거동을 정확하고 효과적으로 해석하는 것을 알 수 있었다.