• 제목/요약/키워드: Linear Fitting

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순간 변위시험 (Slug Test)을 이용한 연직차수벽의 투수계수 산정시 수정된 Linear Curve Fitting 방법의 적용 (Use of the Modified Linear Curve Fitting Method in Analyzing Slug Tests to Evaluate Hydraulic Conductivity of Vertical Cutoff Walls)

  • 최항석;데이빗 데니얼
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2006년도 춘계 학술발표회 논문집
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    • pp.338-347
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    • 2006
  • 연직차수벽은 오염지역이나 폐기물 매립장에서 오염된 지하수 (때로는 오염된 수증기) 흐름을 차단하거나 또는 오염지역의 정화처리시 효율을 높이기 위하여 외부로부터 지하수 흐름을 막기 위해 설치된다. 이 논문에서는 연직차수벽의 가장 중요한 설계요소인 차수벽체의 현장 투수성을 평가하는 방법들중 가장 보편적으로 사용되는 단공식 순간 변위시험 (slug test)을 소개한다. 연직차수벽에서 실행된 단공식 순간 변위시험 결과를 해석하기 위해서, 연직차수벽의 압축성과 기하학적인 특성을 고려한 수정된 linear curve fitting 방법을 제안하고 그 적용성을 case study를 통해 평가한다. 기존의 대수층 투수계수 산정에 이용된 curve fitting 방법들에 비하여 수정된 linear curve fitting 방법은 보다 정확한 연직차수벽체의 투수성을 평가하도록 한다.

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선형함수 fitting을 위한 선형회귀분석, 역전파신경망 및 성현 Hebbian 신경망의 성능 비교 (Performance Evaluation of Linear Regression, Back-Propagation Neural Network, and Linear Hebbian Neural Network for Fitting Linear Function)

  • 이문규;허해숙
    • 한국경영과학회지
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    • 제20권3호
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    • pp.17-29
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    • 1995
  • Recently, neural network models have been employed as an alternative to regression analysis for point estimation or function fitting in various field. Thus far, however, no theoretical or empirical guides seem to exist for selecting the tool which the most suitable one for a specific function-fitting problem. In this paper, we evaluate performance of three major function-fitting techniques, regression analysis and two neural network models, back-propagation and linear-Hebbian-learning neural networks. The functions to be fitted are simple linear ones of a single independent variable. The factors considered are size of noise both in dependent and independent variables, portion of outliers, and size of the data. Based on comutational results performed in this study, some guidelines are suggested to choose the best technique that can be used for a specific problem concerned.

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지상기동 장비용 미사일 경고 레이더의 성능 평가 (The Performance Evaluation of Missile Warning Radar for GVES)

  • 박규철;홍성용
    • 한국전자파학회논문지
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    • 제20권12호
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    • pp.1333-1339
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    • 2009
  • 지상기동 장비에 장착되는 미사일 경고 레이더는 탐지된 표적에 의한 위협을 효과적으로 판단해야 한다. 본 논문에서는 위협 판단 기법인 선형 근사 알고리즘과 가중 선형 근사 알고리즘에 대해 확률 모델을 적용한 시뮬레이션을 통해 성능을 평가하였다. 또한 실제 측정을 통해 위협 판단 알고리즘의 타당성을 확인하였다.

PTT를 이용한 운동 중 혈압 예측을 위한 Local과 Global Fitting의 비교 (Comparison of Local and Global Fitting for Exercise BP Estimation Using PTT)

  • 김철승;문기욱;엄광문
    • 전기학회논문지
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    • 제56권12호
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    • pp.2265-2267
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    • 2007
  • The purpose of this work is to compare the local fitting and global fitting approaches while applying regression model to the PTT-BP data for the prediction of exercise blood pressures. We used linear and nonlinear regression models to represent the PTT-BP relationship during exercise. PTT-BP data were acquired both under resting state and also after cycling exercise with several load conditions. PTT was calculated as the time between R-peak of ECG and the peak of differential photo-plethysmogram. For the identification of the regression models, we used local fitting which used only the resting state data and global fitting which used the whole region of data including exercise BP. The results showed that the global fitting was superior to the local fitting in terms of the coefficient of determination and the RMS (root mean square) error between the experimental and estimated BP. The nonlinear regression model which used global fitting showed slightly better performance than the linear one (no significant difference). We confirmed that the wide-range of data is required for the regression model to appropriately predict the exercise BP.

압축성이 큰 지반에서 순간변위(충격)시험 해석을 위한 선형 커브피팅법(Linear Curve Fitting Methods)의 적용 (Application of Linear Curve Fitting Methods for Slug Test Analysis in Compressible Aquifer)

  • 최항석;이철호;웽텐바오
    • 한국지반공학회논문집
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    • 제23권11호
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    • pp.99-107
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    • 2007
  • Hvorslev법이나 Bouwer and Rice법과 같은 선형 커브피팅법은 대수층의 현장 투수계수를 구하기 위해 실시하는 순간변위시험 혹은 순간충격시험(slug test) 결과를 효과적이고 간편하게 해석하도록 한다. 그러나, 대수층의 압축성이 클 경우, 순간변위시험의 결과가 반대수 그래프에서 선형적이지 않고 상향으로 오목한 곡선 형태를 갖게 되므로, 대수층의 압축성을 무시하는 기존의 선형 커브피팅법은 이런 경우에 그대로 적용하기 어렵다. 본 논문에서는 두 선형 커브피팅법을 부분 관통된 우물의 경우에 대하여 비교 분석하여 대부분의 경우에 Hvorslev법이 Bouwer and Rice법에 비하여 과다하게 현장 투수계수를 산정함을 보였다. 또한, 각기 다른 커브피팅 방법에 따른 순간변위시험 해석결과를 무차원 압축 매게변수(${\alpha}$)의 범위 0.001에서 1까지에 대하여 비교 분석하였다. 마지막으로, 압축성이 큰 대수층의 순간 변위시험 해석을 위하여 Chirlin의 방법을 부분 관통된 우물의 형상을 고려할 수 있도록 확장하여 수정된 선형 커브피팅법을 제시하였다. 제안된 방법의 현장 적용성을 검토하기 위해 빙적토 대수층에서 실시된 순간 변위시험 결과를 이용하여 사례분석을 하였다.

Tree-Structured Nonlinear Regression

  • Chang, Young-Jae;Kim, Hyeon-Soo
    • 응용통계연구
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    • 제24권5호
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    • pp.759-768
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    • 2011
  • Tree algorithms have been widely developed for regression problems. One of the good features of a regression tree is the flexibility of fitting because it can correctly capture the nonlinearity of data well. Especially, data with sudden structural breaks such as the price of oil and exchange rates could be fitted well with a simple mixture of a few piecewise linear regression models. Now that split points are determined by chi-squared statistics related with residuals from fitting piecewise linear models and the split variable is chosen by an objective criterion, we can get a quite reasonable fitting result which goes in line with the visual interpretation of data. The piecewise linear regression by a regression tree can be used as a good fitting method, and can be applied to a dataset with much fluctuation.

CHANGE-POINT DETECTION WITH SPLIT LINEAR FITS

  • Kim, Jae-Hee
    • Journal of applied mathematics & informatics
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    • 제8권2호
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    • pp.641-649
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    • 2001
  • A procedure of detecting change-points is considered with split linear fitting idea from Hall and Titterington(1992). At each given point, left, central and right linear fits are compared to detect the discontinuities or change-points. A simulation study is done with various types of change models and shows that the suggested technique can be a flexible data-analytic tool.

POLYNOMIAL-FITTING INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL

  • Kim Kyung-Joong
    • 대한수학회논문집
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    • 제21권2호
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    • pp.397-407
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    • 2006
  • We construct polynomial-fitting interpolation rules to agree with a function f and its first derivative f' at equally spaced nodes on the interval of interest by introducing a linear functional with which we produce systems of linear equations. We also introduce a matrix whose determinant is not zero. Such a property makes it possible to solve the linear systems and then leads to a conclusion that the rules are uniquely determined for the nodes. An example is investigated to compare the rules with Hermite interpolating polynomials.

Development of 3D Mapping Algorithm with Non Linear Curve Fitting Method in Dynamic Contrast Enhanced MRI

  • Yoon Seong-Ik;Jahng Geon-Ho;Khang Hyun-Soo;Kim Young-Joo;Choe Bo-Young
    • 한국자기공명학회논문지
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    • 제9권2호
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    • pp.93-102
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    • 2005
  • Purpose: To develop an advanced non-linear curve fitting (NLCF) algorithm for dynamic susceptibility contrast study of brain. Materials and Methods: The first pass effects give rise to spuriously high estimates of $K^{trans}$ in voxels with large vascular components. An explicit threshold value has been used to reject voxels. Results: By using this non-linear curve fitting algorithm, the blood perfusion and the volume estimation were accurately evaluated in T2*-weighted dynamic contrast enhanced (DCE)-MR images. From the recalculated each parameters, perfusion weighted image were outlined by using modified non-linear curve fitting algorithm. This results were improved estimation of T2*-weighted dynamic series. Conclusion: The present study demonstrated an improvement of an estimation of kinetic parameters from dynamic contrast-enhanced (DCE) T2*-weighted magnetic resonance imaging data, using contrast agents. The advanced kinetic models include the relation of volume transfer constant $K^{trans}\;(min^{-1})$ and the volume of extravascular extracellular space (EES) per unit volume of tissue $\nu_e$.

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