• 제목/요약/키워드: transformation method

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Robust Nonparametric Regression Method using Rank Transformation

    • Communications for Statistical Applications and Methods
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    • 제7권2호
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    • pp.574-574
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    • 2000
  • Consider the problem of estimating regression function from a set of data which is contaminated by a long-tailed error distribution. The linear smoother is a kind of a local weighted average of response, so it is not robust against outliers. The kernel M-smoother and the lowess attain robustness against outliers by down-weighting outliers. However, the kernel M-smoother and the lowess requires the iteration for computing the robustness weights, and as Wang and Scott(1994) pointed out, the requirement of iteration is not a desirable property. In this article, we propose the robust nonparametic regression method which does not require the iteration. Robustness can be achieved not only by down-weighting outliers but also by transforming outliers. The rank transformation is a simple procedure where the data are replaced by their corresponding ranks. Iman and Conover(1979) showed the fact that the rank transformation is a robust and powerful procedure in the linear regression. In this paper, we show that we can also use the rank transformation to nonparametric regression to achieve the robustness.

Robust Nonparametric Regression Method using Rank Transformation

  • Park, Dongryeon
    • Communications for Statistical Applications and Methods
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    • 제7권2호
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    • pp.575-583
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    • 2000
  • Consider the problem of estimating regression function from a set of data which is contaminated by a long-tailed error distribution. The linear smoother is a kind of a local weighted average of response, so it is not robust against outliers. The kernel M-smoother and the lowess attain robustness against outliers by down-weighting outliers. However, the kernel M-smoother and the lowess requires the iteration for computing the robustness weights, and as Wang and Scott(1994) pointed out, the requirement of iteration is not a desirable property. In this article, we propose the robust nonparametic regression method which does not require the iteration. Robustness can be achieved not only by down-weighting outliers but also by transforming outliers. The rank transformation is a simple procedure where the data are replaced by their corresponding ranks. Iman and Conover(1979) showed the fact that the rank transformation is a robust and powerful procedure in the linear regression. In this paper, we show that we can also use the rank transformation to nonparametric regression to achieve the robustness.

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미소운동 변환을 이용한 자율주행 자전거의 기구학 모델 (Kinematic Modeling for Autonomous Bicycle Using Differential Motion Transformation)

  • 이수영
    • 로봇학회논문지
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    • 제8권4호
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    • pp.292-297
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    • 2013
  • This paper presents a new method of kinematic modeling for autonomous bicycle by using the differential motion transformation. Kinematic model is indispensable to trajectory planning and control for an autonomous mobile robot. The conventional methods of kinematic modeling for an autonomous bicycle depend on intuition by geometry. On the contrary, the proposed method in this paper is based on the systematic differential motion transformation, thus applicable to various types of autonomous bicycles. The differential motion transformation gives Jacobian between two coordinate frames and the velocity kinematics as a result.

와전류 시험에 의한 금속의 변태율 측정에 관한 연구 (The Eddy Current Method to Measure the Transformation Ratio in Metals)

  • Wee, Sang-Bong;Han, Min-Koo;Paek, KI-Nam
    • 대한전기학회논문지
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    • 제38권5호
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    • pp.348-354
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    • 1989
  • The metallurgical transformation ratios of metals have been evaluated by the eddy current method. Eddy current probes have been designed and applied to various standard samples. The equivalent impedance estimated from the eddy current measurement is closely related to the variation of transformation ratios in metals. It has been found that the variation of the impedance is relatively large in the samples where the transformation ratios of the samples are small. Both reactance and resistance increase when the transformation ratio is large. Sensitivities of eddy current test is increased with increasing frequencies and by inserting ferrite core the solenoid eddy probe. Our results have shown the implementation of eddy current measurement to the one-line nondestructive testing of metals.

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Research towards New Innovation Strategies in Korea via Focused Group Method

  • Park, Sung-Uk;Kwak, Jae-Won;Kim, Hyun-Cheol
    • Asian Journal of Innovation and Policy
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    • 제11권2호
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    • pp.222-237
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    • 2022
  • As the COVID-19 pandemic crisis left developing countries with economic setbacks, it is high time to highlight that innovative technologies lead the digital economy. The big powers including the United States and China are already implementing industrial policies that involve large-scale fiscal expenditures to secure the lives and safety of their people. To prepare for the future up to 2025, this paper reflects opinions of industry-academia-research experts regarding changes in the external environment and industry trends. By reflecting results of focus group interviews and changes in the external environment and industry trends, a new high-level 5X strategy (Digital Transformation, Energy Transformation, Bio Health Transformation, Supply Chain Transformation, and Research Transformation) to solve national tasks required for the existing ten policy demand fields and ten agenda during lower-level policy implementation stages were derived.

A High-Speed LSF Transformation Algorithm for CELP Vocoders

  • Min, So-Yeon;Bae, Myung-Jin
    • The Journal of the Acoustical Society of Korea
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    • 제20권1E호
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    • pp.20-24
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    • 2001
  • We propose the computation reduction method of real root method that is mainly used in the CELP(Code Excited Linear Prediction) vocoder. The real root method is that if polynomial equations have the real roots, we are able to find those and transform them into LSF[1]. However, this method takes much time to compute, because the root searching is processed sequentially in frequency region. But, the important characteristic of LSF is that most of coefficients are occurred in specific frequency region. So, the searching frequency region is ordered by each coefficient's distribution. And coefficients are searched in ordered frequency region. Transformation time can be reduced by this method than the sequential searching method in frequency region. When we compare this proposed method with the conventional real root method, the experimental result is that the searching time was reduced about 46% in average.

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이산시간 $\textrm{H}^{\infty}$제어기의 설계방법 (A Design Method for a discrete-time $\textrm{H}^{\infty}$ Controller)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1444-1447
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    • 1997
  • In this paper, the problen of dseigning a H.inf. controller is considered, where the controller is realized through digital equipment. We show that the existing discrete-time controller design method can be improved by usign the inveres bilinear transformation. The usefulness of the given method is confirmed by simulation.

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파괴조건식의 변환과 적용연구 (Transformation and Application of Failure Criteria)

  • 양형식
    • 터널과지하공간
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    • 제3권2호
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    • pp.163-166
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    • 1993
  • To improve the applicability of the Ho-Brown's empirical failure theory to field problems, transformation of failure coefficients was suggested in this study. This method was tested on the published data and good results were obtained. It seemed that this method be more reasonable than traditional method of modifying the coefficients by RMR or Q values.

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Power series solution of circular membrane under uniformly distributed loads: investigation into Hencky transformation

  • Sun, Jun-Yi;Rong, Yang;He, Xiao-Ting;Gao, Xiao-Wei;Zheng, Zhou-Lian
    • Structural Engineering and Mechanics
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    • 제45권5호
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    • pp.631-641
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    • 2013
  • In this paper, the problem of axisymmetric deformation of the circular membrane fixed at its perimeter under the action of uniformly-distributed loads was resolved by exactly using power series method, and the solution of the problem was presented. An investigation into the so-called Hencky transformation was carried out, based on the solution presented here. The results obtained here indicate that the well-known Hencky solution is, without doubt, correct, but in the published papers the statement about its derivation is incorrect, and the so-called Hencky transformation is invalid and hence may not be extended to use as a general mathematical method.

Householder 변환을 이용한 비저항반전 (Resistivity Inversion with Householder's Transformation)

  • 김희준
    • 자원환경지질
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    • 제18권3호
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    • pp.217-224
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    • 1985
  • Householder변환을 비저항반전 문제에 응용하여 해의 안전성을 조사하였다. 비저항탐사의 데이터를 해석할 때, 정규방정식을 통하여 지하구조모델을 구하는 종래의 비저항반전법은 수치적으로 불안정성을 야기시킬 경우가 간혹 있다. 이에 반하여 관측방정식의 해를 직접 구하는 Householder변환을 이용한 비저항반전법은 종래의 방법보다 수치적으로 더 안정하다. 본 논문에서는 Householder변환을 이용한 비저항반전법이 종래의 방법으로는 안정된 지하구조모델을 구할 수 없을 정도로 잡음이 포함된 이론적인 Schlumberger탐사 데이터의 경우에도 안정된 모델을 구할 수 있음을 보여 주었다.

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