• Title/Summary/Keyword: Polynomial Regression

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Assessment of Coal Combustion Safety of DTF using Response Surface Method (반응표면법을 이용한 DTF의 석탄 연소 안전성 평가)

  • Lee, Eui Ju
    • Journal of the Korean Society of Safety
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    • v.30 no.1
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    • pp.8-13
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    • 2015
  • The experimental design methodology was applied in the drop tube furnace (DTF) to predict the various combustion properties according to the operating conditions and to assess the coal plant safety. Response surface method (RSM) was introduced as a design of experiment, and the database for RSM was set with the numerical simulation of DTF. The dependent variables such as burnout ratios (BOR) of coal and $CO/CO_2$ ratios were mathematically described as a function of three independent variables (coal particle size, carrier gas flow rate, wall temperature) being modeled by the use of the central composite design (CCD), and evaluated using a second-order polynomial multiple regression model. The prediction of BOR showed a high coefficient of determination (R2) value, thus ensuring a satisfactory adjustment of the second-order polynomial multiple regression model with the simulation data. However, $CO/CO_2$ ratio had a big difference between calculated values and predicted values using conventional RSM, which might be mainly due to the dependent variable increses or decrease very steeply, and hence the second order polynomial cannot follow the rates. To relax the increasing rate of dependent variable, $CO/CO_2$ ratio was taken as common logarithms and worked again with RSM. The application of logarithms in the transformation of dependent variables showed that the accuracy was highly enhanced and predicted the simulation data well.

Polynomial Regression Analysis and Response Surface Methodology in Task-Technology Fit Research: The Case of GSS (Group Support Systems) (업무-기술적합(TTF) 영향에 대한 다차항 회귀분석과 반응표면 방법론적 접근: 그룹지원시스템(GSS)의 경우)

  • Kang, So-Ra;Kim, Min-Soo;Yang, Hee-Dong
    • Asia pacific journal of information systems
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    • v.16 no.2
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    • pp.47-67
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    • 2006
  • This study takes a quantitative approach to the influence of TTF (Task-Technology Fit) on the individual's use and performance of GSS (Group Support Systems), while traditional studies on TTF have taken the experimental approach to explore the characteristic fit between diverse tasks and technologies. We have the following two research inquires: Are the IS use and performance maximized when information technologies are provided by the exact amount of demand?; and, Does TTF at the high level between task and IT produce better IS use (or performance) than at the low level? To investigate these issues, we use the polynomial regression analysis and response surface methodology of Edwards (1993) instead of traditional direct measure of TTF. This method measures the degree of desired and actual level of information technologies in conducting tasks, and traces the dynamic changes of dependent variables (IS use and performance) according to the variances of each independent variable. Our results conclude that user's IS use and performance are maximized when information technologies are actually provided by no more or less than the desired level. We also found that TTF at the high level promotes better IS use and performance than TTF at the low level.

Efficient Signal Detection Based on Artificial Intelligence for Power Line Communication Systems (전력선통신 시스템을 위한 인공지능 기반 효율적 신호 검출)

  • Kim, Do Kyun;Hwang, Yu Min;Sim, Issac;Kim, Jin Young
    • Journal of Satellite, Information and Communications
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    • v.12 no.2
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    • pp.42-45
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    • 2017
  • It is known that power line communication systems have more noise than general wired communication systems due to the high voltage that flows in power line cables, and the noise causes a serious performance degradation. In order to mitigate performance degradation due to such noise, this paper proposes an artificial intelligence algorithm based on polynomial regression, which detects signals in the impulse noise environment in the power line communication system. The polynomial regression method is used to predict the original transmitted signal from the impulse noise signal. Simulation results show that the signal detection performance in the impulse noise environment of the power line communication is improved through the artificial intelligence algorithm proposed in this paper.

Velocity Considered Sectional Porosity Equivalent Model (VSPE) of Filters for CFD Analysis of Breakaway Devices (수소 브레이크어웨이 디바이스 유동해석을 위한 필터의 구간별 다공성 등가 모델 제시)

  • Son, Seong-Jae;An, Su-Jin;Song, Tae-Hoon;Joe, Choong-Hee;Park, Sang-Hu
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.8
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    • pp.82-90
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    • 2019
  • We propose an equivalent model of a sintered metal mesh filter calculated by Ergun's equation and polynomial regression for the CFD analysis of breakaway devices at a hydrogen fueling station. CFD analysis of filters that cause high pressure loss is essential because breakaway devices in high-pressure hydrogen conditions require low pressure loss. A differential pressure experiment with a filter was performed in a low-pressure air condition considering similarities. An equivalent model was developed by deriving the resistance value by the polynomial regression using the experimental results. The results of CFD analysis using the equivalent model show that there was almost no error in the operating condition of the breakaway device compared to the experimental results. Through this work, we believe that the proposed equivalent model of a filter can be applied to the analysis of breakaway devices in hydrogen fueling stations. We will study how to optimize the shape and position of the filter in breakaway devices using the developed equivalent model.

Genetically Optimized Fuzzy Polynomial Neural Networks Model and Its Application to Software Process (진화론적 최적 퍼지다항식 신경회로망 모델 및 소프트웨어 공정으로의 응용)

  • Lee, In-Tae;Park, Ho-Sung;Oh, Sung-Kwun;Ahn, Tae-Chon
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.337-339
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    • 2004
  • In this paper, we discuss optimal design of Fuzzy Polynomial Neural Networks by means of Genetic Algorithms(GAs). Proceeding the layer, this model creates the optimal network architecture through the selection and the elimination of nodes by itself. So, there is characteristic of flexibility. We use a triangle and a Gaussian-like membership function in premise part of rules and design the consequent structure by constant and regression polynomial (linear, quadratic and modified quadratic) function between input and output variables. GAs is applied to improve the performance with optimal input variables and number of input variables and order. To evaluate the performance of the GAs-based FPNNs, the models are experimented with the use of Medical Imaging System(MIS) data.

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Fuzzy Polynomial Neural Networks with Fuzzy Activation Node (퍼지 활성 노드를 가진 퍼지 다항식 뉴럴 네트워크)

  • Park, Ho-Sung;Kim, Dong-Won;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2946-2948
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    • 2000
  • In this paper, we proposed the Fuzzy Polynomial Neural Networks(FPNN) model with fuzzy activation node. The proposed FPNN structure is generated from the mutual combination of PNN(Polynomial Neural Networks) structure and fuzzy inference system. The premise of fuzzy inference rules defines by triangular and gaussian type membership function. The fuzzy inference method uses simplified and regression polynomial inference method which is based on the consequence of fuzzy rule expressed with a polynomial such as linear, quadratic and modified quadratic equation are used. The structure of FPNN is not fixed like in conventional Neural Networks and can be generated. The design procedure to obtain an optimal model structure utilizing FPNN algorithm is shown in each stage. Gas furnace time series data used to evaluate the performance of our proposed model.

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Determination of optimal order for the full-logged I-D-F polynomial equation and significance test of regression coefficients (전대수 다항식형 확률강우강도식의 최적차수 결정 및 회귀계수에 대한 유의성 검정)

  • Park, Jin Hee;Lee, Jae Joon
    • Journal of Korea Water Resources Association
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    • v.55 no.10
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    • pp.775-784
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    • 2022
  • In this study, to determine the optimal order of the full-logged I-D-F polynomial equation, which is mainly used to calculate the probable rainfall over a temporal rainfall duration, the probable rainfall was calculated and the regression coefficients of the full-logged I-D-F polynomial equation was estimated. The optimal variable of the polynomial equation for each station was selected using a stepwise selection method, and statistical significance tests were performed through ANOVA. Using these results, the statistically appropriately calculated rainfall intensity equation for each station was presented. As a result of analyzing the variable selection outputs of the full-logged I-D-F polynomial equation at 9 stations in Gyeongbuk, the 1st to 3rd order equations at 6 stations and the incomplete 3rd order at 1 station were determined as the optimal equations. Since the 1st order equation is similar to the Sherman type equation and the 2nd order one is similar to the general type equation, it was presented as a unified form of rainfall intensity equation for convenience of use by increasing the number of independent variables. Therefore, it is judged that there is no statistical problem in considering only the 3rd order polynomial regression equation for the full-logged I-D-F.

On variable bandwidth Kernel Regression Estimation (변수평활량을 이용한 커널회귀함수 추정)

  • Seog, Kyung-Ha;Chung, Sung-Suk;Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.179-188
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    • 1998
  • Local polynomial regression estimation is the most popular one among kernel type regression estimator. In local polynomial regression function esimation bandwidth selection is crucial problem like the kernel estimation. When the regression curve has complicated structure variable bandwidth selection will be appropriate. In this paper, we propose a variable bandwidth selection method fully data driven. We will choose the bandwdith by selecting minimising estiamted MSE which is estimated by the pilot bandwidth study via croos-validation method. Monte carlo simulation was conducted in order to show the superiority of proposed bandwidth selection method.

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Prediction of Newborn Birthweight by the Measurement of Fundal Height and Gestational Period (임신기간 및 자궁저높이를 이용한 신생아 체중 예측)

  • Cho, Moon-Suk;Park, Young-Sook
    • 모자간호학회지
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    • v.1
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    • pp.34-44
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    • 1991
  • The purposes of this study were to predict newborn birthweight by use of gestational period and fundal height and to identify growth curve of fundal height according to gestational period and growth curve of newborn birthweight according to fundal height. The subjects for the study were 802 women who delivered the normal newborn babies at Seoul National University Hospital from Sep. 1, 1981 to Aug.31, 1986. The data were collected bit chart review and analyzed nth SPSS program. The results of study were as follows : 1. The multiple regression equation ($R^2$=0.416) used for the prediction of newborn birthweight was y=(newborn birthweight, kg)=-4.421+0.075$x_1$(fundal height, cm)+0.053$x_2$(gestational period, weeks)+0.016$x_3$(abdominal girth, cm)+0.010$x_4$(maternal height, cm) 2. The growth curve of fundal height according to gestational period was obtained by polynomial regression. The regression equation was Y(fundal height, cm)=-36.78+18.58$log_ex$(gestational period, weeks) The growth curve of newborn birth weight according to fundal height was obtained by polynomial regression. The regression equation was Y(newborn birthweight, kg)=-8.09+3.27$log_ex$ (Fundal Height, cm) 3. In the following subgroups no significant difference was found in fundal height : engaged vs. nonengaged presentation, and nulliparous vs. multiparous women.

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A New Modeling Approach to Fuzzy-Neural Networks Architecture (퍼지 뉴럴 네트워크 구조로의 새로운 모델링 연구)

  • Park, Ho-Sung;Oh, Sung-Kwun;Yoon, Yang-Woung
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.8
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    • pp.664-674
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    • 2001
  • In this paper, as a new category of fuzzy-neural networks architecture, we propose Fuzzy Polynomial Neural Networks (FPNN) and discuss a comprehensive design methodology related to its architecture. FPNN dwells on the ideas of fuzzy rule-based computing and neural networks. The FPNN architecture consists of layers with activation nodes based on fuzzy inference rules. Here each activation node is presented as Fuzzy Polynomial Neuron(FPN). The conclusion part of the rules, especially the regression polynomial, uses several types of high-order polynomials such as linear, quadratic and modified quadratic. As the premise part of the rules, both triangular and Gaussian-like membership functions are studied. It is worth stressing that the number of the layers and the nods in each layer of the FPNN are not predetermined, unlike in the case of the popular multilayer perceptron structure, but these are generated in a dynamic manner. With the aid of two representative time series process data, a detailed design procedure is discussed, and the stability is introduced as a measure of stability of the model for the comparative analysis of various architectures.

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