• Title/Summary/Keyword: nonlinear regression analysis

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Modeling of Flow-Accelerated Corrosion using Machine Learning: Comparison between Random Forest and Non-linear Regression (기계학습을 이용한 유동가속부식 모델링: 랜덤 포레스트와 비선형 회귀분석과의 비교)

  • Lee, Gyeong-Geun;Lee, Eun Hee;Kim, Sung-Woo;Kim, Kyung-Mo;Kim, Dong-Jin
    • Corrosion Science and Technology
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    • v.18 no.2
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    • pp.61-71
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    • 2019
  • Flow-Accelerated Corrosion (FAC) is a phenomenon in which a protective coating on a metal surface is dissolved by a flow of fluid in a metal pipe, leading to continuous wall-thinning. Recently, many countries have developed computer codes to manage FAC in power plants, and the FAC prediction model in these computer codes plays an important role in predictive performance. Herein, the FAC prediction model was developed by applying a machine learning method and the conventional nonlinear regression method. The random forest, a widely used machine learning technique in predictive modeling led to easy calculation of FAC tendency for five input variables: flow rate, temperature, pH, Cr content, and dissolved oxygen concentration. However, the model showed significant errors in some input conditions, and it was difficult to obtain proper regression results without using additional data points. In contrast, nonlinear regression analysis predicted robust estimation even with relatively insufficient data by assuming an empirical equation and the model showed better predictive power when the interaction between DO and pH was considered. The comparative analysis of this study is believed to provide important insights for developing a more sophisticated FAC prediction model.

OLED Power Driving Simulation Using Impedance Spectroscopy

  • Kong, Ung-Gul;Hyun, Seok-Hoon;Yoon, Chul-Oh
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.32-35
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    • 2003
  • Nonlinear parameterization of OLED device from measurements of bias dependence of impedance spectra and parameter extraction using Levenberg-Marquardt complex nonlinear least square regression algorithm based on resistor-capacitor equivalent circuit model enables computer simulation of OLED power driving characteristics in forms of square-wave or sinusoidal output signal at arbitrary conditions. We introduce developed OLED power driving simulation software and discuss transient responses in voltage-or current-controlled operations as well as nonlinear characteristics of OLED, by presenting both the simulation and experimental results. This OLED simulation technique using impedance spectroscopy is extremely useful in predicting performance of the nonlinear device, especially in time-domain analysis of device operation.

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Assay Error for Improved Pharmacokinetic Modeling and Simulation of Vancomycin (반코마이신의 약물동태학적 모델링과 시뮬레이션의 향상을 위한 분석오차)

  • Burm, Jin Pil
    • YAKHAK HOEJI
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    • v.57 no.1
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    • pp.32-36
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    • 2013
  • The purpose of this study was to determine the influence of assay error for improved pharmacokinetic modeling and simulation of vancomycin on the Bayesian and nonlinear least squares regression analysis in 24 Korean gastric cancer patients. Vancomycin 1.0 g was administered intravenously over 1 hr every 12 hr. Three specimens were collected at 72 hr after the first dose from all patients at the following times, at 0.5 hr before regularly scheduled infusion, at 0.5 hr and 2 hr after the end of 1 hr infusion. Serum vancomycin levels were analyzed by fluorescence polarization immunoassay technique with TDX-FLX. The standard deviation (SD) of the assay over its working range had been determined at the serum vancomycin concentrations of 0, 20, 40, 60, 80 and $120{\mu}g/ml$ in quadruplicate. The polynomial equation of vancomycin assay error was found to be SD $({\mu}g/ml)=0.0224+0.0540C+0.00173C^2$ ($R^2=0.935$). There were differences in the influence of weight with vancomycin assay error on pharmacokinetic parameters of vancomycin using the nonlinear least squares regression analysis but there were no differences on the Bayesian analysis. This polynomial equation can be used to improve the precision of fitting of pharmacokinetic models to optimize the process of model simulation both for population and for individualized pharmacokinetic models. The result suggests the improvement of dosage regimens for the better and safer care of patients receiving vancomycin.

A Dynamic-Stochastic Model for Air Pollutant Concentration (大氣汚染濃度에 관한 動的確率모델)

  • 김해경
    • Journal of Korean Society for Atmospheric Environment
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    • v.7 no.3
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    • pp.156-168
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    • 1991
  • The purpose of this paper is to develop a stochastic model for daily sulphur dioxide $(SO_2)$ concentrations prediction in urban area (Seoul). For this, the influence of the meteorological parameters on the $SO_2$ concentrations is investigated by a statistical analysis of the 24-hr averaged $SO_2$ levels of Seoul area during 1989 $\sim$ 1990. The annual fluctuations of the regression trend, periodicity and dependence of the daily concentration are also analyzed. Based on these, a nonlinear regression transfer function model for the prediction of daily $SO_2$ concentrations is derived. A statistical procedure for using the model to predict the concentration level is also proposed.

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A Stochastic Model for Air Pollutant Concentration (大氣汚染濃度에 관한 確率모델)

  • 김해경
    • Journal of Korean Society for Atmospheric Environment
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    • v.7 no.2
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    • pp.127-136
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    • 1991
  • This paper is concerned with the development and application of a stochastic model for daily sulphur dioxide $(SO_2)$ concentrations in urban area (Seoul). For this, the characteristics of the regression trend, periodicity and dependence of the daily $SO_2$ concentration are investigated by a statistisical analysis of the daily average $SO_2$ values measured in Seoul area during 1989 $\sim$ 1990. Based on these, nonlinear regression time series model for the prediction of daily $SO_2$ concentrations is derived. A statistical procedure for using the model to predict the concentration level is also proposed.

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Improving Polynomial Regression Using Principal Components Regression With the Example of the Numerical Inversion of Probability Generating Function (주성분회귀분석을 활용한 다항회귀분석 성능개선: PGF 수치역변환 사례를 중심으로)

  • Yang, Won Seok;Park, Hyun-Min
    • The Journal of the Korea Contents Association
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    • v.15 no.1
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    • pp.475-481
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    • 2015
  • We use polynomial regression instead of linear regression if there is a nonlinear relation between a dependent variable and independent variables in a regression analysis. The performance of polynomial regression, however, may deteriorate because of the correlation caused by the power terms of independent variables. We present a polynomial regression model for the numerical inversion of PGF and show that polynomial regression results in the deterioration of the estimation of the coefficients. We apply principal components regression to the polynomial regression model and show that principal components regression dramatically improves the performance of the parameter estimation.

A Study on Applying the Nonlinear Regression Schemes to the Low-GloSea6 Weather Prediction Model (Low-GloSea6 기상 예측 모델 기반의 비선형 회귀 기법 적용 연구)

  • Hye-Sung Park;Ye-Rin Cho;Dae-Yeong Shin;Eun-Ok Yun;Sung-Wook Chung
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.16 no.6
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    • pp.489-498
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    • 2023
  • Advancements in hardware performance and computing technology have facilitated the progress of climate prediction models to address climate change. The Korea Meteorological Administration employs the GloSea6 model with supercomputer technology for operational use. Various universities and research institutions utilize the Low-GloSea6 model, a low-resolution coupled model, on small to medium-scale servers for weather research. This paper presents an analysis using Intel VTune Profiler on Low-GloSea6 to facilitate smooth weather research on small to medium-scale servers. The tri_sor_dp_dp function of the atmospheric model, taking 1125.987 seconds of CPU time, is identified as a hotspot. Nonlinear regression models, a machine learning technique, are applied and compared to existing functions conducting numerical operations. The K-Nearest Neighbors regression model exhibits superior performance with MAE of 1.3637e-08 and SMAPE of 123.2707%. Additionally, the Light Gradient Boosting Machine regression model demonstrates the best performance with an RMSE of 2.8453e-08. Therefore, it is confirmed that applying a nonlinear regression model to the tri_sor_dp_dp function during the execution of Low-GloSea6 could be a viable alternative.

Mechanical Testing and Nonlinear Material Properties for Finite Element Analysis of Rubber Components (고무부품의 유한요소해석을 위한 재료시험 및 비선형 재료물성에 관한 연구)

  • Kim, Wan-Doo;Kim, Wan-Soo;Kim, Dong-Jin;Woo, Chang-Soo;Lee, Hak-Joo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.6
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    • pp.848-859
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    • 2004
  • Mechanical testing methods to determine the material constants for large deformation nonlinear finite element analysis were demonstrated for natural rubber. Uniaxial tension, uniaxial compression, equi-biaxial tension and pure shear tests of rubber specimens are performed to achieve the stress-strain curves. The stress-strain curves are obtained after between 5 and 10 cycles to consider the Mullins effect. Mooney and Ogden strain-energy density functions, which are typical form of the hyperelastic material, are determined and compared with each other. The material constants using only uniaxial tension data are about 20% higher than those obtained by any other test data set. The experimental equations of shear elastic modulus on the hardness and maximum strain are presented using multiple regression method. Large deformation finite element analysis of automotive transmission mount using different material constants is performed and the load-displacement curves are compared with experiments. The selection of material constant in large deformation finite element analysis depend on the strain level of component in service.

Penalized quantile regression tree (벌점화 분위수 회귀나무모형에 대한 연구)

  • Kim, Jaeoh;Cho, HyungJun;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.29 no.7
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    • pp.1361-1371
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    • 2016
  • Quantile regression provides a variety of useful statistical information to examine how covariates influence the conditional quantile functions of a response variable. However, traditional quantile regression (which assume a linear model) is not appropriate when the relationship between the response and the covariates is a nonlinear. It is also necessary to conduct variable selection for high dimensional data or strongly correlated covariates. In this paper, we propose a penalized quantile regression tree model. The split rule of the proposed method is based on residual analysis, which has a negligible bias to select a split variable and reasonable computational cost. A simulation study and real data analysis are presented to demonstrate the satisfactory performance and usefulness of the proposed method.

AN ASSESSMENT OF UNCERTAINTY ON A LOFT L2-5 LBLOCA PCT BASED ON THE ACE-RSM APPROACH: COMPLEMENTARY WORK FOR THE OECD BEMUSE PHASE-III PROGRAM

  • Ahn, Kwang-Il;Chung, Bub-Dong;Lee, John C.
    • Nuclear Engineering and Technology
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    • v.42 no.2
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    • pp.163-174
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    • 2010
  • As pointed out in the OECD BEMUSE Program, when a high computation time is taken to obtain the relevant output values of a complex physical model (or code), the number of statistical samples that must be evaluated through it is a critical factor for the sampling-based uncertainty analysis. Two alternative methods have been utilized to avoid the problem associated with the size of these statistical samples: one is based on Wilks' formula, which is based on simple random sampling, and the other is based on the conventional nonlinear regression approach. While both approaches provide a useful means for drawing conclusions on the resultant uncertainty with a limited number of code runs, there are also some unique corresponding limitations. For example, a conclusion based on the Wilks' formula can be highly affected by the sampled values themselves, while the conventional regression approach requires an a priori estimate on the functional forms of a regression model. The main objective of this paper is to assess the feasibility of the ACE-RSM approach as a complementary method to the Wilks' formula and the conventional regression-based uncertainty analysis. This feasibility was assessed through a practical application of the ACE-RSM approach to the LOFT L2-5 LBLOCA PCT uncertainty analysis, which was implemented as a part of the OECD BEMUSE Phase III program.