• Title/Summary/Keyword: Parametric transformation

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Parametric Sensitivity Analysis Using Fourier Transformation (푸리에 변환을 이용한 파라미터 민감도 해석)

  • Baek, Moon-Yeal;Lee, Kyo-Seung
    • Journal of Power System Engineering
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    • v.9 no.4
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    • pp.58-64
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    • 2005
  • 주파수 영역 민감도 해석법은 동적 시스템의 전달함수에 대한 설계 파라미터의 변화에 의한 효과를 파악하기 위해 사용되어 왔으며, 이때의 민감도 함수는 시스템 설계 파라미터에 대한 시스템 전달 함수의 편미분 값이다. 일반적으로 종래의 주파수 영역 민감도 해석은 직접 미분법이나 라플라스 변환이 사용되어 왔다. 라플라스 변환을 사용하는 경우에 시스템의 차수가 증가할수록 역행렬 조작은 매우 많은 시간을 필요로 하며 또한 어려운 작업이다. 본논문에서는 이러한 다점을 보완하기 위하여 푸리에변환을 이용한 민감도 기법을 제시하였다. 파라미터의 변화에 대한 진폭-주파수 특성의 민감도 해석을 간단한 2자유도 모델과 로터 다이나믹 시스템에 적용하였다.

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A New Method of the Global Interpolation in NURBS Surface: II (NURBS Surface Global Interpolation에 대한 한 방법: II)

  • 정형배
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.4
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    • pp.243-250
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    • 1998
  • In parametric surface interpolation, the choice of the parameter values to the set of scattered points makes a great deal of difference in the resulting surface. A new method is developed and tested for the parametrization in NURBS surface global interpolation. This method uses the parameter value at the maximal value of relevant rational basis function, to assign the parameter values to the arbitrary set of design data. This method gives us several important advantages in geometric modeling, the freedom of the selection of knot values, the feasible transformation of the data set to the matrix, the possibility of affinite transformation between the design data and generated surface, etc.

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Generation of 2-D Parametric Surfaces with Highly Irregular Boundaries

  • Sarkar, Subhajit;Dey, Partha Pratim
    • International Journal of CAD/CAM
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    • v.8 no.1
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    • pp.11-20
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    • 2009
  • The conventional methods of boundary-conformed 2D surfaces generation usually yield some problems. This paper deals with two boundary-conformed 2D surface generation methods, one conventional approach, the linear Coons method, and a new method, boundary-conformed interpolation. In this new method, unidirectional 2D surface has been generated using some of the geometric properties of the given boundary curves. A method of simultaneous displacement of the interpolated curves from the opposite boundaries has been adopted. The geometric properties considered for displacements include weighted combination of angle bisector and linear displacement vectors at all the data-points of the two opposite generating curves. The algorithm has one adjustable parameter that controls the characteristics of transformation of one set of curves from its parents. This unidirectional process has been extended to bi-directional parameterization by superimposing two sets of unidirectional curves generated from both boundary pairs. Case studies show that this algorithm gives reasonably smooth transformation of the boundaries. This algorithm is more robust than the linear Coons method and capable of resolving the 2D boundary-conformed parameterization problems.

Adaptive Control of a Nonholonomic Mobile Robot with Parametric Uncertainty (불확실한 파라미터를 갖는 비홀로노믹 이동로봇의 적응제어)

  • Baik, Jong-Ik;Yun, Tae-Ung
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.15-18
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    • 2003
  • This paper presents an adaptive control scheme for parking or regulating a nonholonomic mobile robot of an unicycle type with parameter uncertainty. The kinematics can be described with Brockett's nonholonomic integrator. The control law is designed in cylindrical coordinates together with the estimation law for the uncertain parameters such that the controlled signals converge to zero while guaranteeing the boundedness of the estimation errors. The effectiveness of the proposed scheme is demonstrated using simulations.

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Generalized Weighted Linear Models Based on Distribution Functions

  • Yeo, In-Kwon
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.161-166
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    • 2003
  • In this paper, a new form of generalized linear models is proposed. The proposed models consist of a distribution function of the mean response and a weighted linear combination of distribution functions of covariates. This form addresses a structural problem of the link function in the generalized linear models. Markov chain Monte Carlo methods are used to estimate the parameters within a Bayesian framework.

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Power transformation in quasi-likelihood innovations for GARCH volatility (금융 시계열 변동성 추정을 위한 준-우도 이노베이션의 멱변환)

  • Sunah, Chung;Sun Young, Hwang;Sung Duck, Lee
    • The Korean Journal of Applied Statistics
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    • v.35 no.6
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    • pp.755-764
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    • 2022
  • This paper is concerned with power transformations in estimating GARCH volatility. To handle a semi-parametric case for which the exact likelihood is not known, quasi-likelihood (QL) rather than maximum-likelihood method is investigated to best estimate GARCH via maximizing the information criteria. A power transformation is introduced in the innovation generating QL estimating functions and then optimum power is selected by maximizing the profile information. A combination of two different power transformations is also studied in order to increase the parameter estimation efficiency. Nine domestic stock prices data are analyzed to order to illustrate the main idea of the paper. The data span includes Covid-19 pandemic period in which financial time series are really volatile.

Numerical Representation of Hull Form Using Modified Cubic Spline (Modification Cubic Spline에 의한 선체형상의 수치적 표현)

  • W.S.,Kang;K.Y.,Lee;Y.C.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.3-10
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    • 1990
  • Hull form can be described numerically by two approaches, one is to describe a hull form with a set of curves("curve approach"), and the other is to describe it with surfaces directly("surface approach"). This paper describes the numerical definition scheme of hull form using curve approach method which defines the hull form by a set of curves consisting of 2-dimensional transverse section curves and 3-dimensional longitudinal curves. A set of curves in the hull form definition scheme is described by the modified cubic spline which modified the general parametric cubic spline in order to ensure a very smooth curvature distribution within the curve segment even though a curve segment has large tangent angle at its end points. Illustrative examples are given showing the application of the method to represent the hull form of SWATH ship and oceanographic research vessel. Also, examples for hull form transformation are shown by using this method connected with transformation technique.

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Geostatistical Simulation of Compositional Data Using Multiple Data Transformations (다중 자료 변환을 이용한 구성 자료의 지구통계학적 시뮬레이션)

  • Park, No-Wook
    • Journal of the Korean earth science society
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    • v.35 no.1
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    • pp.69-87
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    • 2014
  • This paper suggests a conditional simulation framework based on multiple data transformations for geostatistical simulation of compositional data. First, log-ratio transformation is applied to original compositional data in order to apply conventional statistical methodologies. As for the next transformations that follow, minimum/maximum autocorrelation factors (MAF) and indicator transformations are sequentially applied. MAF transformation is applied to generate independent new variables and as a result, an independent simulation of individual variables can be applied. Indicator transformation is also applied to non-parametric conditional cumulative distribution function modeling of variables that do not follow multi-Gaussian random function models. Finally, inverse transformations are applied in the reverse order of those transformations that are applied. A case study with surface sediment compositions in tidal flats is carried out to illustrate the applicability of the presented simulation framework. All simulation results satisfied the constraints of compositional data and reproduced well the statistical characteristics of the sample data. Through surface sediment classification based on multiple simulation results of compositions, the probabilistic evaluation of classification results was possible, an evaluation unavailable in a conventional kriging approach. Therefore, it is expected that the presented simulation framework can be effectively applied to geostatistical simulation of various compositional data.

Health monitoring of multistoreyed shear building using parametric state space modeling

  • Medhi, Manab;Dutta, Anjan;Deb, S.K.
    • Smart Structures and Systems
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    • v.4 no.1
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    • pp.47-66
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    • 2008
  • The present work utilizes system identification technique for health monitoring of shear building, wherein Parametric State Space modeling has been adopted. The method requires input excitation to the structure and also output acceleration responses of both undamaged and damaged structure obtained from numerically simulated model. Modal parameters like eigen frequencies and eigen vectors have been extracted from the State Space model after introducing appropriate transformation. Least square technique has been utilized for the evaluation of the stiffness matrix after having obtained the modal matrix for the entire structure. Highly accurate values of stiffness of the structure could be evaluated corresponding to both the undamaged as well as damaged state of a structure, while considering noise in the simulated output response analogous to real time scenario. The damaged floor could also be located very conveniently and accurately by this adopted strategy. This method of damage detection can be applied in case of output acceleration responses recorded by sensors from the actual structure. Further, in case of even limited availability of sensors along the height of a multi-storeyed building, the methodology could yield very accurate information related to structural stiffness.

The Precise Positioning with the 3D Coordinate Transformation of GPS Surveying (GPS 측량의 3차원 좌표변환에 의한 정밀위치결정)

  • Park, Woon-Yong;Yeu, Bock-Mo;Lee, Kee-Boo
    • Journal of Korean Society for Geospatial Information Science
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    • v.8 no.2 s.16
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    • pp.47-60
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    • 2000
  • On this study, Among the classification methods of land cover using satellite imagery, we compared the classification accuracy of Neural Network Classifier and that of Maximum Likelihood Classifier which has the characteristics of parametric and non-parametric classification method. In the assessment of classification accuracy, we analyzed the classification accuracy about testing area as well as training area that many analysts use generally when assess the classification accuracy. As a result, Neural Network Classifier is superior to Maximum Likelihood Classifier as much as 3% in the classification of training data. When ground reference data is used, we could get poor result from both of classification methods, but we could reach conclusion that the classification result of Neural Network Classifier is superior to the classification result of Maximum Likelihood Classifier as much as 10%.

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