• 제목/요약/키워드: Nonlinear regression model

검색결과 423건 처리시간 0.027초

Nonlinear Regression Analysis to Determine Infection Models of Colletotrichum acutatum Causing Anthracnose of Chili Pepper Using Logistic Equation

  • Kang, Wee-Soo;Yun, Sung-Chul;Park, Eun-Woo
    • The Plant Pathology Journal
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    • 제26권1호
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    • pp.17-24
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    • 2010
  • A logistic model for describing combined effects of both temperature and wetness period on appressorium formation was developed using laboratory data on percent appressorium formation of Colletotrichum acutatum. In addition, the possible use of the logistic model for forecasting infection risks was also evaluated as compared with a first-order linear model. A simplified equilibrium model for enzymatic reactions was applied to obtain a temperature function for asymptote parameter (A) of logistic model. For the position (B) and the rate (k) parameters, a reciprocal model was used to calculate the respective temperature functions. The nonlinear logistic model described successfully the response of appressorium formation to the combined effects of temperature and wetness period. Especially the temperature function for asymptote parameter A reflected the response of upper limit of appressorium formation to temperature, which showed the typical temperature response of enzymatic reactions in the cells. By having both temperature and wetness period as independent variables, the nonlinear logistic model can be used to determine the length of wetness periods required for certain levels of appressorium formation under different temperature conditions. The infection model derived from the nonlinear logistic model can be used to calculate infection risks using hourly temperature and wetness period data monitored by automated weather stations in the fields. Compared with the nonlinear infection model, the linear infection model always predicted a shorter wetness period for appressorium formation, and resulted in significantly under- and over-estimation of response at low and high temperatures, respectively.

디젤 기관(機關)의 계통식별(系統識別) -연료주입율(燃料注入率) 대(對) 매연반응(煤煙反應)- (System Identification of a Diesel Engine -Throttle-Smoke Response-)

  • 조한근
    • Journal of Biosystems Engineering
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    • 제16권2호
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    • pp.111-117
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    • 1991
  • An empirical model for diesel engine control was obtained using a system identification method. A pseudo-random binary sequence was used as an input signal. Spectral anaylsis was used to find the frequency response of system. Model parameters of transfer functions were obtained using nonlinear regression.

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An Animated Plot of Locally Linear Approximation Method

  • Seo, Han-Son
    • Communications for Statistical Applications and Methods
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    • 제5권1호
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    • pp.77-84
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    • 1998
  • ARES plot (Cook and Weisberg, 1987) idea is applied to a multiple regression model in which the relation between a response variable and some independent variable is nonlinear. This method is expected to show the impact on the function to which and independent variable should be transformed, as a variable is smoothly added to the model.

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Analysis of quantitative high throughput screening data using a robust method for nonlinear mixed effects models

  • Park, Chorong;Lee, Jongga;Lim, Changwon
    • Communications for Statistical Applications and Methods
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    • 제27권6호
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    • pp.701-714
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    • 2020
  • Quantitative high throughput screening (qHTS) assays are used to assess toxicity for many chemicals in a short period by collectively analyzing them at several concentrations. Data are routinely analyzed using nonlinear regression models; however, we propose a new method to analyze qHTS data using a nonlinear mixed effects model. qHTS data are generated by repeating the same experiment several times for each chemical; therefor, they can be viewed as if they are repeated measures data and hence analyzed using a nonlinear mixed effects model which accounts for both intra- and inter-individual variabilities. Furthermore, we apply a one-step approach incorporating robust estimation methods to estimate fixed effect parameters and the variance-covariance structure since outliers or influential observations are not uncommon in qHTS data. The toxicity of chemicals from a qHTS assay is classified based on the significance of a parameter related to the efficacy of the chemicals using the proposed method. We evaluate the performance of the proposed method in terms of power and false discovery rate using simulation studies comparing with one existing method. The proposed method is illustrated using a dataset obtained from the National Toxicology Program.

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

  • 양원석;박현민
    • 한국콘텐츠학회논문지
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    • 제15권1호
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    • pp.475-481
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    • 2015
  • 종속변수와 설명변수 사이의 관계가 선형이 아닌 경우에는 비선형 관계를 반영할 수 있는 다항회귀분석을 이용하여 회귀분석을 수행한다. 한편, 다항회귀분석에는 설명변수의 거듭제곱항들이 설명변수에 추가되므로 설명변수들 사이에 상관관계가 발생하여 다항회귀모형의 성능 저하 문제가 발생할 수 있다. 본 논문에서는 PGF 수치역변환 문제를 사례로 하여 주성분회귀분석을 통해 다항회귀분석의 성능을 극적으로 향상시킬 수 있음을 보인다. 본 논문에서는 PGF의 정의를 이용하여 PGF를 다항회귀분석으로 모형화한다. 다항회귀분석을 이용하여 PGF 전개식의 회귀계수를 추정하면 회귀계수의 추정 자체가 불가능하거나 계수 추정의 정확성이 저하되는 문제가 발생한다. 이 경우 다항회귀분석에 주성분회귀분석을 적용하면 계수 추정의 정확도가 극적으로 향상되어 다항회귀분석의 계수 추정 시 발생하는 문제를 해결할 수 있음을 밝힌다.

Asymmetric least squares regression estimation using weighted least squares support vector machine

  • Hwan, Chang-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제22권5호
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    • pp.999-1005
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    • 2011
  • This paper proposes a weighted least squares support vector machine for asymmetric least squares regression. This method achieves nonlinear prediction power, while making no assumption on the underlying probability distributions. The cross validation function is introduced to choose optimal hyperparameters in the procedure. Experimental results are then presented which indicate the performance of the proposed model.

Kernel method for autoregressive data

  • Shim, Joo-Yong;Lee, Jang-Taek
    • Journal of the Korean Data and Information Science Society
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    • 제20권5호
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    • pp.949-954
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    • 2009
  • The autoregressive process is applied in this paper to kernel regression in order to infer nonlinear models for predicting responses. We propose a kernel method for the autoregressive data which estimates the mean function by kernel machines. We also present the model selection method which employs the cross validation techniques for choosing the hyper-parameters which affect the performance of kernel regression. Artificial and real examples are provided to indicate the usefulness of the proposed method for the estimation of mean function in the presence of autocorrelation between data.

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회귀분석을 이용한 열변형 오차 모델링에 관한 연구 (Research on the thermal deformation model ins using by regression analysis)

  • 김희술;고태조;김선호;김형식;정종운
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 추계학술대회 논문집
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    • pp.47-52
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    • 2002
  • There are many factors in machine tool error. These are thermal deformation, geometric error, machine's part assembly error, error caused by tool bending. Among them thermal error is 70% of total error of machine tool . Prediction of thermal error is very difficult. because of nonlinear tendency of machine tool deformation. In this study, we tried thermal error prediction by using multi regression analysis.

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Forecasting Exchange Rates using Support Vector Machine Regression

  • Chen, Shi-Yi;Jeong, Ki-Ho
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2005년도 춘계학술대회
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    • pp.155-163
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    • 2005
  • This paper applies Support Vector Regression (SVR) to estimate and forecast nonlinear autoregressive integrated (ARI) model of the daily exchange rates of four currencies (Swiss Francs, Indian Rupees, South Korean Won and Philippines Pesos) against U.S. dollar. The forecasting abilities of SVR are compared with linear ARI model which is estimated by OLS. Sensitivity of SVR results are also examined to kernel type and other free parameters. Empirical findings are in favor of SVR. SVR method forecasts exchange rate level better than linear ARI model and also has superior ability in forecasting the exchange rates direction in short test phase but has similar performance with OLS when forecasting the turning points in long test phase.

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Real-time model updating for magnetorheological damper identification: an experimental study

  • Song, Wei;Hayati, Saeid;Zhou, Shanglian
    • Smart Structures and Systems
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    • 제20권5호
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    • pp.619-636
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    • 2017
  • Magnetorheological (MR) damper is a type of controllable device widely used in vibration mitigation. This device is highly nonlinear, and exhibits strongly hysteretic behavior that is dependent on both the motion imposed on the device and the strength of the surrounding electromagnetic field. An accurate model for understanding and predicting the nonlinear damping force of the MR damper is crucial for its control applications. The MR damper models are often identified off-line by conducting regression analysis using data collected under constant voltage. In this study, a MR damper model is integrated with a model for the power supply unit (PSU) to consider the dynamic behavior of the PSU, and then a real-time nonlinear model updating technique is proposed to accurately identify this integrated MR damper model with the efficiency that cannot be offered by off-line methods. The unscented Kalman filter is implemented as the updating algorithm on a cyber-physical model updating platform. Using this platform, the experimental study is conducted to identify MR damper models in real-time, under in-service conditions with time-varying current levels. For comparison purposes, both off-line and real-time updating methods are applied in the experimental study. The results demonstrate that all the updated models can provide good identification accuracy, but the error comparison shows the real-time updated models yield smaller relative errors than the off-line updated model. In addition, the real-time state estimates obtained during the model updating can be used as feedback for potential nonlinear control design for MR dampers.