• 제목/요약/키워드: Collocation Points

검색결과 33건 처리시간 0.03초

영한번역 시스템에서 연어 사용에 의한 실용적인 대역어 선택 (Practical Target Word Selection Using Collocation in English to Korean Machine Translation)

  • 김성묵
    • 한국산업정보학회논문지
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    • 제5권2호
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    • pp.56-61
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    • 2000
  • 기계번역시스템에서 번역의 우수성은 중의성이 심한 동사의 대역어 선택에 좌우된다. 동사의 의미분별은 함께 어울려 사용되는 연어들에 의해 해소될 수 있지만, 이러한 연어들을 획득하기에는 많은 어려움과 비용의 문제가 발생한다. 이에 따라 기존의 많은 연구 중에서 실용성을 검토해 볼 필요가 있다. 본 논문에서는 영한번역시스템의 성능 향상을 위해 기존에 획득된 연어에 최소한의 명사 의미자질을 구축하여 계산한 의미거리(Semantic Distance)에 의한 실용적인 대역어 선택 방법을 기술하고자 한다.

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A Comparative Study of Transcription Techniques for Nonlinear Optimal Control Problems Using a Pseudo-Spectral Method

  • Kim, Chang-Joo;Sung, Sangkyung
    • International Journal of Aeronautical and Space Sciences
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    • 제16권2호
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    • pp.264-277
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    • 2015
  • This article investigates various transcription techniques for the Legendre pseudospectral (PS) method to compare the pros and cons of each approach. Eight combinations from four different types of collocation points and two discretization methods for dynamic constraints, which differentiate Legendre PS transcription techniques, are implemented to solve a carefully selected test set of nonlinear optimal control problems (NOCPs). The convergence property and prediction accuracy are compared to provide a useful guideline for selecting the best combination. The tested NOCPs consist of the minimum time, minimum energy, and problems with state and control constraints. Therefore, the results drawn from this comparative study apply to the solution of similar types of NOCPs and can mitigate much debate about the best combinations. Additionally, important findings from this study can be used to improve the numerical efficiency of the Legendre PS methods. Three PS applications to the aerospace engineering problems are demonstrated to prove this point.

Explicit Matrix Expressions of Progressive Iterative Approximation

  • Chen, Jie;Wang, Guo-Jin
    • International Journal of CAD/CAM
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    • 제13권1호
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    • pp.1-11
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    • 2013
  • Just by adjusting the control points iteratively, progressive iterative approximation (PIA) presents an intuitive and straightforward scheme such that the resulting limit curve (surface) can interpolate the original data points. In order to obtain more flexibility, adjusting only a subset of the control points, a new method called local progressive iterative approximation (LPIA) has also been proposed. But to this day, there are two problems about PIA and LPIA: (1) Only an approximation process is discussed, but the accurate convergence curves (surfaces) are not given. (2) In order to obtain an interpolating curve (surface) with high accuracy, recursion computations are needed time after time, which result in a large workload. To overcome these limitations, this paper gives an explicit matrix expression of the control points of the limit curve (surface) by the PIA or LPIA method, and proves that the column vector consisting of the control points of the PIA's limit curve (or surface) can be obtained by multiplying the column vector consisting of the original data points on the left by the inverse matrix of the collocation matrix (or the Kronecker product of the collocation matrices in two direction) of the blending basis at the parametric values chosen by the original data points. Analogously, the control points of the LPIA's limit curve (or surface) can also be calculated by one-step. Furthermore, the $G^1$ joining conditions between two adjacent limit curves obtained from two neighboring data points sets are derived. Finally, a simple LPIA method is given to make the given tangential conditions at the endpoints can be satisfied by the limit curve.

EXPONENTIAL DECAY OF $C^1$ LAGRANGE POLYNOMIAL SPLINES WITH RESPECT TO THE LOCAL CHEBYSHEV-GAUSS POINTS

  • Shin, Byeong-Chun;Song, Ho-Wan
    • 대한수학회논문집
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    • 제16권1호
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    • pp.153-161
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    • 2001
  • In the course of working on the preconditioning $C^1$ polynomial spline collocation method, one has to deal with the exponential decay of $C^1$ Lagrange polynomial splines. In this paper we show the exponential decay of $C^1$ Lagrange polynomial splines using the Chebyshev-Gauss points as the local data points.

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회전쉘의 동적 특성에 관한 연구 (Dynamic Characteristics of Revolution Shells)

  • Park, Sung-Jin
    • 한국재난정보학회 논문집
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    • 제10권1호
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    • pp.123-140
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    • 2014
  • 회전쉘의 정적문제 및 동적문제에 대해서 선점법에 의한 공간영역의 이산화에 대한 유효성을 비교 검토하였고, 정식화에 있어서 이산화 후의 연립방정식 및 시간에 관한 연립상미분방정식의 계수행렬에 대한 영향을 검토하였다. 수치해석법에는 동적특성의 문제를 간단하고 효과적인 방법을 위하여 선점법을 제안하였으며, 수치해석예로서 평균2승잔차법과의 비교검토로 고정도의 해석을 위한 정확성을 검증하였다.

Dynamic analysis of 3-D structures with adaptivity in RBF of dual reciprocity BEM

  • Razaee, S.H.;Noorzad, A.
    • Structural Engineering and Mechanics
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    • 제29권2호
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    • pp.117-134
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    • 2008
  • A new adaptive dual reciprocity boundary element method for dynamic analysis of 3-D structures is presented in this paper. It is based on finding the best approximation function of a radial basis function (RBF) group $f=r^n+c$ which minimize the error of displacement field expansion. Also, the effects of some parameters such as the existence of internal points, number of RBF functions and position of collocation nodes in discontinuous elements are investigated in this adaptive procedure. Three numerical examples show improvement in dynamic response of structures with adaptive RBF in dual reciprocity with respect to ordinary BEM.

수치지도 좌표계 전환에 관한 연구 (Development of Coordinate Transformation Tool for Existing Digital Map)

  • 윤홍식;조재명;송동섭;김명호;조흥묵
    • 한국측량학회:학술대회논문집
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    • 한국측량학회 2003년도 추계학술발표회 논문집
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    • pp.373-378
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    • 2003
  • This study deals with development of transformation tool for transformation of digital map coordinates systems using by the best fit transformation parameters which are determined between the local geodetic datum and geocentric datum (ITRF2000) in Korea and distortion modelling derived from collocation method. We used 107 control points as a common points. For analyzing the derived parameters, another 83 common points are tested. Finally, the best fit parameters are determined from Molodensky-Badekas model after considering the RMSE, maximum value, minimum values, and 95% confidence interval of residuals. after transformation of best fit parameters and distortion modelling, we could develop transformation tools with advenced accuracy. so it is possible to perform on transformation of digital map with scale 1:5,000. and we tested accuracy eveluation through analysis between transformation results and field results of GPS observation.

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Out-of-plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method

  • Lee, Jinhee
    • International Journal of Precision Engineering and Manufacturing
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    • 제5권2호
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    • pp.53-59
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    • 2004
  • The pseudospectral method is applied to the analysis of out-of$.$plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions. The present method gives good accuracy with only a limited number of collocation points.

Quasi-static 근사에 의한 코플래너 도파로 불연속의 경계요소 해석 (Boundary element characterization of coplanar waveguide discontinuities by quasi-static approximation)

  • 강연덕;이택경
    • 전자공학회논문지D
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    • 제34D권6호
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    • pp.1-10
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    • 1997
  • By using the boundary element method, the cahracterization and the circuit modelling of the coplanar waveguide (CPW) discontinuities are performed bvia quasi-static approximation. The capacitive equivalent circuits are obtained by developing the 3-D boundary element method with collocation method. On the triangular patch, the numerical scheme employed the linear basis functions and the analytic solutions of the integrals on the singular points. The capacitive discontinuities of gaps, end-gaps, and open-ends are characterized and the results compared with the conductor backed coplanar waveguides.

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In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method

  • Lee, Jinhee
    • Journal of Mechanical Science and Technology
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    • 제17권8호
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    • pp.1156-1163
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    • 2003
  • The pseudospectral method is applied to the analysis of in-plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of rectangular and circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions and the results are compared with those by transfer matrix method. The present method gives good accuracy with only a limited number of collocation points.