• Title/Summary/Keyword: Quadratic Regression

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Effects of Light Intensity and Temperature on Growth and Root Yield of Valeriana fauriei var. dasycarpa HARA (쥐오줌풀의 생육 및 뿌리수량에 미치는 광도와 온도의 영향)

  • Lee, Jong-Chul;Cho, Chang-Hwan;Ahn, Tae-Jin;Choi, Young-Hyun
    • Korean Journal of Medicinal Crop Science
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    • v.4 no.1
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    • pp.7-11
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    • 1996
  • This study was conducted to know the effects of light intensity and temperature on growth of V. fauriei plants. Photosynthesis of V. fauriei had highly significant relations to light intensity and temperature in a quadratic regression model, from which the optimum light intensity and temperature for the plant growth were estimated to be 40,000lux and $17.7^{\circ}C.$ Root was produced less by shading at Jinbu where is located in alpine region, but root yield is increased by shading at Umsong where is located in plane region. Roots were produced more in Jinbu than in Umsong. A highly significant quadratic regression was noted between temperature and leaf width or root weight of V. fauriei. It was estimated from the regression equation that the optimum temperature for root growth was $20.3^{\circ}C.$

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RS-based method for estimating statistical moments and its application to reliability analysis (반응표면을 활용한 통계적 모멘트 추정 방법과 신뢰도해석에 적용)

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.852-857
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    • 2004
  • A new and efficient method for estimating the statistical moments of a system performance function has been developed. The method consists of two steps: (1) An approximate response surface is generated by a quadratic regression model, and (2) the statistical moments of the regression model are then calculated by experimental design techniques proposed by Seo and $Kwak^{(4)}$. In this approach, the size of experimental region affects the accuracy of the statistical moments. Therefore, the region size should be selected suitably. The D-optimal design and the central composite design are adopted over the selected experimental region for the regression model. Finally, the Pearson system is adopted to decide the distribution type of the system performance function and to analyze structural reliability.

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Improvement of rotor flux estimation performance of induction motor using Support Vector Machine $\epsilon$-insensitive Regression Method (Support Vector Machine $\epsilon$-insensitive Regression방법을 이용한 유도전동기의 회전자 자속추정 성능개선)

  • Han, Dong-Chang;Baek, Un-Jae;Kim, Seong-Rak;Park, Ju-Hyeon;Lee, Seok-Gyu;Park, Jeong-Il
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.43-46
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    • 2003
  • In this paper, a novel rotor flux estimation method of an induction motor using support vector machine(SVM) is presented. Two veil-known different flux models with respect to voltage and current are necessary to estimate the rotor flux of an induction motor. The theory of the SVM algorithm is based on statistical teaming theory. Training of SVH leads to a quadratic programming(QP) problem. The proposed SVM rotor flux estimator guarantees the improvement of performance in the transient and steady state in spite of parameter variation circumstance. The validity and the usefulness of Proposed algorithm are throughly verified through numerical simulation.

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A Study on Friction Measurement of an Inverted Pendulum System using the Regression Analysis (회귀분석을 통한 역진자 시스템의 마찰력 측정에 관한 연구)

  • Park, Kyung-Yun;Park, Duck-Gee;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1775-1776
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    • 2006
  • This paper deals with the problem of friction measurement of an inverted pendulum system using the regression analysis and proposes a solution. The approach taken in this study is getting the friction from a regression relational expression between the motor voltage and the cart velocity of an inverted pendulum system. The result to compensate LQR (linear Quadratic Regulator) controller with the friction which is measured in system, improved the performance of the system. Above all, the study has found that the proposed compensation of the friction reduces the oscillation of the cart position. In conclusion, the proposed method is useful when parameters in the given system model are not known.

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Support vector expectile regression using IRWLS procedure

  • Choi, Kook-Lyeol;Shim, Jooyong;Seok, Kyungha
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.931-939
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    • 2014
  • In this paper we propose the iteratively reweighted least squares procedure to solve the quadratic programming problem of support vector expectile regression with an asymmetrically weighted squares loss function. The proposed procedure enables us to select the appropriate hyperparameters easily by using the generalized cross validation function. Through numerical studies on the artificial and the real data sets we show the effectiveness of the proposed method on the estimation performances.

The Sensitivity Analysis of Derailment in Suspension Elements of Rail Vehicle (철도차량 현수장치의 탈선에 대한 민감도 연구)

  • 심태웅;박찬경;김기환
    • Proceedings of the KSR Conference
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    • 1999.11a
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    • pp.566-573
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    • 1999
  • This paper is the result of sensitivity analysis of derailment with respect to the selected suspension elements for the rail vehicle. Derailment phenominon has been explained by the derailment quotient. Thus, the sensitivity of derailment is suggested by a response surface model(RSM) which is a functional relationship between derailment quotient and characteristics of suspension elements. To summarize generation of RSM, we can introduce the procedure of sensitivity analysis as follows. First, to form a RSM, a experiment is performed by a dynamic analysis code, VAMPIRE according to a kind of the design of experiments(DOE). Second, RSM is constructed to a 1$\^$st/ order polynomial and then main effect fators are screened through the stepwise regression. Finally, we can see the sensitivity level through the RSM which only consists of the main effect factors and is expressed by the liner, interaction and quadratic effect terms.

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Evaluation of the heat island in transition zone of three cities in Kyungpook, Korea (추이대(推移帶)를 중심으로 한 경상북도 3개 도시의 열섬 평가)

  • Park, In Hwan;Jang, Gab Sue;Kim, Jong Yong
    • Journal of Environmental Impact Assessment
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    • v.8 no.2
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    • pp.73-82
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    • 1999
  • This study analyzed the relationship between NDVI(Normalized Difference Vegetation Index) and urban heat island in three cities: Daegu, Kyungju, and Pohang for understanding the degree of nature conservation concentrating in the transition zone of them. Daegu city is the third city in Korea which has a dense population. Kyungju is a traditional city which has good nature. Pohang is an industrial city which has those of characters of Daegu and Kyungju. Landsat 1M data in May 17, 1997 were used for the analysis of heat island. There were about four theoretical models to estimate the surface temperature from TM data: Two-point linear model, Linear regression model, Quadratic regression model, and Cubic regression model. In this study, Linear regression model had been utilized to analyze the urban heat island. On the resultant images, the transition zone of Daegu was urbanized more extremely than those of other two cities. It is thought that the analysis of relationship between NDVI and surface temperature, used in this study, is regarded as one of effective methodologies for urban-environmental detection from satellite imageries.

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MLR & ANN approaches for prediction of compressive strength of alkali activated EAFS

  • Ozturk, Murat;Cansiz, Omer F.;Sevim, Umur K.;Bankir, Muzeyyen Balcikanli
    • Computers and Concrete
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    • v.21 no.5
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    • pp.559-567
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    • 2018
  • In this study alkali activation of Electric Arc Furnace Slag (EAFS) is studied with a comprehensive test program. Three different silicate moduli (1-1,5-2), three different sodium concentrations (4%-6%-8%) for each silicate module, two different curing conditions (45%-98% relative humidity) for each sodium concentration, two different curing temperatures ($400^{\circ}C-800^{\circ}C$) for each relative humidity condition and two different curing time (6h-12h) for each curing temperature variables are selected and their effects on compressive strength was evaluated then regression equations using multiple linear regressions methods are fitted. And then to select the best regression models confirm with using the variables, the regression models compared between itself. An Artificial Neural Network (ANN) models that use silicate moduli, sodium concentration, relative humidity, curing temperature and curing time variables, are formed. After the investigation of these ANN models' results, ANN and multiple linear regressions based models are compared with each other. After that, an explicit formula is developed with values of the ANN model. As a result of this study, the fluctuations of data set of the compressive strength were very well reflected using both of the methods, multiple linear regression with quadratic terms and ANN.

CONFLICT AMONG THE SHRINKAGE ESTIMATORS INDUCED BY W, LR AND LM TESTS UNDER A STUDENT'S t REGRESSION MODEL

  • Kibria, B.M.-Golam
    • Journal of the Korean Statistical Society
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    • v.33 no.4
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    • pp.411-433
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    • 2004
  • The shrinkage preliminary test ridge regression estimators (SPTRRE) based on Wald (W), Likelihood Ratio (LR) and Lagrangian Multiplier (LM) tests for estimating the regression parameters of the multiple linear regression model with multivariate Student's t error distribution are considered in this paper. The quadratic biases and risks of the proposed estimators are compared under both null and alternative hypotheses. It is observed that there is conflict among the three estimators with respect to their risks because of certain inequalities that exist among the test statistics. In the neighborhood of the restriction, the SPTRRE based on LM test has the smallest risk followed by the estimators based on LR and W tests. However, the SPTRRE based on W test performs the best followed by the LR and LM based estimators when the parameters move away from the subspace of the restrictions. Some tables for the maximum and minimum guaranteed efficiency of the proposed estimators have been given, which allow us to determine the optimum level of significance corresponding to the optimum estimator among proposed estimators. It is evident that in the choice of the smallest significance level to yield the best estimator the SPTRRE based on Wald test dominates the other two estimators.

Fetal Bio Index Difference Analysis by Country and Quadratic Regression Model Design for The Gestational Age Prediction (태아 생체지표 국가별 차이분석 및 임신주수 예측의 2차 회귀모형 설계)

  • Kim, Changsoo;Yang, Sung-Hee
    • The Journal of the Korea Contents Association
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    • v.20 no.8
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    • pp.685-691
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    • 2020
  • Standard values for fetal bio index measurements should be applied differently depending on the past present and general characteristics of the target population. Therefore, we tried to predict the number of gestational week(GA) and analyze the differences by country based on the measurements of Korean fetal bio index. 480 fetal bio index measurements between 15~38 weeks of pregnancy using ultrasound were compared retrospectively with USA ad Japanese data. One Way ANOVA was used for the analysis of differences by country, and quadratic regression model was designed to predict the GA of fetal bio index in order to predict the standard pregnancy number of Korean fetuses(p<0.005). Mean difference in the 95% confidence interval is BPD was Korea and USA 0.17, Korea and Japan 0.11, AC was Korea and USA -0.35, Korea and Japan 0.42, FL was Korea and USA -0.18, Korea and Japan 0.14. Therefore, fetal bio index for GA predict is considered to be the standard of the fetal growth assessment by applying the country specific standard in consideration of differences between races.