• 제목/요약/키워드: Smoothing Spline Function

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식스 시그마 도입기간이 기업의 재무적 성과에 미치는 영향 연구: 평활 스플라인 함수를 이용하여 (The Study on Relation between Six Sigma Implemented Period and Financial Performance: Using Smoothing Spline Function)

  • 류창헌;박민재
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제16권2호
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    • pp.78-89
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    • 2016
  • Purpose: In this paper, we investigate whether the endeavors for Six Sigma quality management by a firm have positive effects on its financial performance and the length of Six Sigma implemented period affects its financial status. We find a relationship between Six Sigma implemented period and several financial performance index using a smoothing spline function. Methods: A smoothing spline function is used in order to analyze the relationship between efforts for quality management and financial performance. Specifically, the return on assets, return on equity, sales cost and business fee are investigated as dependent variables and the efforts for quality management as independent variable. Results: As a result of the analysis, the indication is that companies that put effects into the Six Sigma quality management have a positive result in its financial status. In detail, the efforts for Six Sigma quality management have positive effects on total asset turnover ratio and Six Sigma implemented period on net income to net sales ratio. Additionally, companies with longer (shorter) period of Six Sigma program have more (less) improvement in its financial status. Conclusion: It can be concluded that the company's efforts for quality management positively influence financial performance.

일반화최대우도함수에 의해 추정된 평활모수에 대한 진단 (Diagnostics for Estimated Smoothing Parameter by Generalized Maximum Likelihood Function)

  • 정원태;이인석;정혜정
    • Journal of the Korean Data and Information Science Society
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    • 제7권2호
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    • pp.257-262
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    • 1996
  • 본 논문은 스플라인 희귀모형에서 평활모수를 추정할 때 사전 작업으로 영향력 진단을 하는 문제를 다룬다. 평활모수의 추정방법으로 일반화최대우도함수법을 사용할 때, 얻어지는 추정 치에 영향을 주는 관측치를 진단하는 측도를 제안하고, 찾아낸 영향력 관측치를 수정하여 올바른 평활모수 추정치를 찾는 방법을 소개한다.

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영상보간을 위한 공간변화(Space-Variant) B-Splin 함수 (Space-Variant B-Spline Functions for Image Interpolation)

  • 이병길;김순자;하영호
    • 대한전기학회논문지
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    • 제40권4호
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    • pp.394-401
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    • 1991
  • B-spline function is generally used for an image interpolation because of its smoothness and continuity, but it accompanies a large amount of blurring effect. In this paper, a space-variant B-spline interpolation function is proposed through deblurring process followed by de-aliasing process. The proposed function has parametric expression and performs smoothing and edge-enhancement adaptively in the interpolation process according to local property of the image. Application of this function to image enlargement, rotation, and curve representation producted good results. Even in the presence of noise, noise smoothing effect as well as edge-enhancement were observed in the image interpolation process.

Adaptive B-spline volume representation of measured BRDF data for photorealistic rendering

  • Park, Hyungjun;Lee, Joo-Haeng
    • Journal of Computational Design and Engineering
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    • 제2권1호
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    • pp.1-15
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    • 2015
  • Measured bidirectional reflectance distribution function (BRDF) data have been used to represent complex interaction between lights and surface materials for photorealistic rendering. However, their massive size makes it hard to adopt them in practical rendering applications. In this paper, we propose an adaptive method for B-spline volume representation of measured BRDF data. It basically performs approximate B-spline volume lofting, which decomposes the problem into three sub-problems of multiple B-spline curve fitting along u-, v-, and w-parametric directions. Especially, it makes the efficient use of knots in the multiple B-spline curve fitting and thereby accomplishes adaptive knot placement along each parametric direction of a resulting B-spline volume. The proposed method is quite useful to realize efficient data reduction while smoothing out the noises and keeping the overall features of BRDF data well. By applying the B-spline volume models of real materials for rendering, we show that the B-spline volume models are effective in preserving the features of material appearance and are suitable for representing BRDF data.

Medical imaging을 위한 영상 보간 방법의 비교 (COMPARISON OF INTERPOLATION METHODS for MEDICAL IMAGING)

  • 이병길;하영호
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1990년도 추계학술대회
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    • pp.38-41
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    • 1990
  • A new spline function for resampling discrete signal adaptively is proposed. In general, B-spline function is used for an image interpolation because of its smoothness and continuity, but accompanies a large amount of blurring effect. Hence, we developed a new spline function to remedy this effect, with two procedures ; deblurring of Gaussian blurring and diminishing of aliasing effect caused by deblurring procedure. The proposed function has a parametric expression with $\alpha$ which is related to the variance of Gaussian blurring model. Locally adaptive resampling scheme is obtained by changing a according to statistical characteristics of an image. The proposed, interpolation function shows edge-sharpening effect as well as noise smoothing, with comparison to the conventional schemes.

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마케팅자료에서 특성점들을 이용한 군집방법 (Clustering Method Using Characteristic Points with Marketing Data)

  • 문숙경;김우성
    • 품질경영학회지
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    • 제32권4호
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    • pp.265-273
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    • 2004
  • We got the growth distance curve by spline smoothing method with observed marketing data and the growth velocity curve by the derivation of the growth distance curve. Using this growth velocity curve, we defined the several characteristic points which describe the variation of marketing data. In this paper, to specify several patterns of marketing data, we suggested characteristic function by using these characteristic points. In addition, we applied characteristic function to the seventeen brands of electric home products data.

Negative Binomial Varying Coefficient Partially Linear Models

  • Kim, Young-Ju
    • Communications for Statistical Applications and Methods
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    • 제19권6호
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    • pp.809-817
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    • 2012
  • We propose a semiparametric inference for a generalized varying coefficient partially linear model(VCPLM) for negative binomial data. The VCPLM is useful to model real data in that varying coefficients are a special type of interaction between explanatory variables and partially linear models fit both parametric and nonparametric terms. The negative binomial distribution often arise in modelling count data which usually are overdispersed. The varying coefficient function estimators and regression parameters in generalized VCPLM are obtained by formulating a penalized likelihood through smoothing splines for negative binomial data when the shape parameter is known. The performance of the proposed method is then evaluated by simulations.

A FRAMEWORK TO UNDERSTAND THE ASYMPTOTIC PROPERTIES OF KRIGING AND SPLINES

  • Furrer Eva M.;Nychka Douglas W.
    • Journal of the Korean Statistical Society
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    • 제36권1호
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    • pp.57-76
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    • 2007
  • Kriging is a nonparametric regression method used in geostatistics for estimating curves and surfaces for spatial data. It may come as a surprise that the Kriging estimator, normally derived as the best linear unbiased estimator, is also the solution of a particular variational problem. Thus, Kriging estimators can also be interpreted as generalized smoothing splines where the roughness penalty is determined by the covariance function of a spatial process. We build off the early work by Silverman (1982, 1984) and the analysis by Cox (1983, 1984), Messer (1991), Messer and Goldstein (1993) and others and develop an equivalent kernel interpretation of geostatistical estimators. Given this connection we show how a given covariance function influences the bias and variance of the Kriging estimate as well as the mean squared prediction error. Some specific asymptotic results are given in one dimension for Matern covariances that have as their limit cubic smoothing splines.

Optimized Neural Network Weights and Biases Using Particle Swarm Optimization Algorithm for Prediction Applications

  • Ahmadzadeh, Ezat;Lee, Jieun;Moon, Inkyu
    • 한국멀티미디어학회논문지
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    • 제20권8호
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    • pp.1406-1420
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    • 2017
  • Artificial neural networks (ANNs) play an important role in the fields of function approximation, prediction, and classification. ANN performance is critically dependent on the input parameters, including the number of neurons in each layer, and the optimal values of weights and biases assigned to each neuron. In this study, we apply the particle swarm optimization method, a popular optimization algorithm for determining the optimal values of weights and biases for every neuron in different layers of the ANN. Several regression models, including general linear regression, Fourier regression, smoothing spline, and polynomial regression, are conducted to evaluate the proposed method's prediction power compared to multiple linear regression (MLR) methods. In addition, residual analysis is conducted to evaluate the optimized ANN accuracy for both training and test datasets. The experimental results demonstrate that the proposed method can effectively determine optimal values for neuron weights and biases, and high accuracy results are obtained for prediction applications. Evaluations of the proposed method reveal that it can be used for prediction and estimation purposes, with a high accuracy ratio, and the designed model provides a reliable technique for optimization. The simulation results show that the optimized ANN exhibits superior performance to MLR for prediction purposes.

스플라인 기법을 이용한 영상의 경계 검출 성능 개선 (Performance Enhancement of Spline-based Edge Detection)

  • 김영호;김진철;이완주;박규태
    • 한국통신학회논문지
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    • 제19권11호
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    • pp.2106-2115
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    • 1994
  • 영상의 구조인식과 같은 고단계 처리 과정의 성능은 앞단에서 검출된 경계 성분의 정확성에 크게 의존하는 바. 정확한 경계검출의 문제는 컴퓨터 버전 분야에서 가장 기본이 되는 연구주제로서 많이 수행되어 왔다. 그러나 검출 및 국소화 기능 사이에 근본적으로 존재하는 상충관계를 해결할 수 있는 안정적이면서도 영상의 통계적 특성에 무관한 효율적인 경계검출 알고리즘의 개발은 아직도 남아있는 연구과제이다. 본 논문에서는 이러한 문제점을 해결하기 위하여 경계검출을 위한 전처리 과정으로서 B-spline 기저 함수를 이용한 경계 보존 면 평활화 과정을 수행함으로써 단순한 저역통과 필터의 적용으로 발생되는 경계 성분의 이동이나 소멸과 같은 효과를 억제하여, 주변 파라미터의 변동에 민감하지 않은 안정적인 알고리즘을 제안하였다. 이를 위해 크기변화 및 차영상을 이용한 경계강조 및 보간을 아울러 수행하였다. 최종적으로 경계성분 검출을 위해 Marr와 Hildreth가 제안한 Laplacian of Gaussian(LOG) 연산자를 이용하였다. $256\times256$ 크기의 실험영상에 대한 모의실험 결과, 전처리과정을 거치지 않고 LOG 연산자만을 사용한 경우와 비교해 볼때. 제안한 방법은 평활화 필터의 크기, 즉. 공간상수값($\sigma$=0.9, 1.1, 1.3) 및 영교차점 검출 과정에서 사용되는 임계치(t=10, 20)의 변화에 대해 거의 영향을 받지 않는 안정된 알고리즘임을 확인하였다.

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