Pre-processing Protocol for Nonlinear Regression of Uneven Spaced-Data

Regression of experimental or simulated data has important implications in sensitivity studies, uncertainty analysis, and prediction accuracy. The fitness of a model is highly dependent on the number of data points and the locations of the chosen points on the curve. The objective of the research is to find the best scheme for a nonlinear regression model using a fraction of total data points without losing any features or trends in the data. Six different schemes are developed by setting criteria such as equal spacing along axes, equal distance between two consecutive points, constraint in the angle of curvature, etc. A workflow is provided to summarize the entire protocol of data preprocessing, training and testing nonlinear regression models with various schemes using a simulated temperature profile from an enhanced geothermal system. It is shown that only 5% of data points are sufficient to represent the entire curve using a regression model with a proper scheme.

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Early LOC Estimation of Web Apps Created Using Yii Framework by Nonlinear Regression Models

WSEAS TRANSACTIONS ON COMPUTERS ◽

10.37394/23205.2021.20.35 ◽

2021 ◽

Vol 20 ◽

pp. 321-328

Author(s):

Sergiy Prykhodko ◽

Ivan Shutko ◽

Andrii Prykhodko

Keyword(s):

Regression Model ◽

Nonlinear Regression ◽

Regression Models ◽

Web Applications ◽

Nonlinear Regression Model ◽

Nonlinear Regression Models ◽

Normalizing Transformations ◽

Box Cox Transformation ◽

Decimal Logarithm

We have performed early LOC estimation of Web applications (apps) created using the Yii framework by three nonlinear regression models with three predictors based on the normalizing transformations. We used two univariate transformations (the decimal logarithm and the Box-Cox transformation) and the Box-Cox four-variate transformation for constructing nonlinear regression models. The nonlinear regression model constructed by the Box-Cox four-variate transformation has better size prediction results compared to other regression ones based on the univariate transformations.

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Estimating the Efforts of Mobile Application Development in the Planning Phase Using Nonlinear Regression Analysis

Applied Computer Systems ◽

10.2478/acss-2020-0019 ◽

2020 ◽

Vol 25 (2) ◽

pp. 172-179

Author(s):

Sergiy Prykhodko ◽

Natalia Prykhodko ◽

Kateryna Knyrik

Keyword(s):

Regression Model ◽

Nonlinear Regression ◽

Mobile Application ◽

Regression Models ◽

Multiple Regression Model ◽

Application Development ◽

Nonlinear Regression Models ◽

Planning Phase ◽

Mobile Application Development ◽

Decimal Logarithm

AbstractThe authors consider the construction of a nonlinear multiple regression model, its confidence and prediction intervals to evaluate the efforts of mobile application development in the planning phase based on the multivariate normalizing transformation and outlier detection. The constructed model is compared to the linear regression model and nonlinear regression models based on the univariate transformations, such as the decimal logarithm, Box–Cox, and Johnson transformation. This model, in comparison with other regression models, has better prediction accuracy.

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A Memoir on Nonlinear Regression Model and its Pseudo Model

International Journal of Engineering & Technology ◽

10.14419/ijet.v7i4.10.26643 ◽

2018 ◽

Vol 7 (4.10) ◽

pp. 995

Author(s):

B. Mahaboob ◽

J. PeterPraveen ◽

J. Ravi Sankar ◽

B. Venkateswarlu ◽

C. Narayana

Keyword(s):

Regression Model ◽

Nonlinear Regression ◽

Regression Models ◽

Applied Mathematics ◽

Second Order ◽

Nonlinear Regression Model ◽

Linear Regression Models ◽

Estimation Of Parameters ◽

Nonlinear Regression Models ◽

Pseudo Second Order

The main objective of this article is to specify a nonlinear regression model, formulate the assumptions on them and aquire its linear pseudo model. A model may be considered a mathematical description of a physical, chemical or biological state or process. Many models used in applied mathematics and Mathematical statistics are nonlinear in nature one of the major topics in the literature of theoretical and applied mathematics is the estimation of parameters of nonlinear regression models. A perfect model may have to many parameters to be useful. Nonlinear regression models have been intensively studied in the last three decades. Junxiong Lin et.al [1] , in their paper, compared best –fit equations of linear and nonlinear forms of two widely used kinetic models, namely pseudo-first order and pseudo=second-order equations. K. Vasanth kumar [2], in his paper, proposed five distinct models of second order pseudo expression and examined a comparative study between method of least squares for linear regression models and a trial and error nonlinear regression procedures of deriving pseudo second order rare kinetic parameters. Michael G.B. Blum et.al [3] proposed a new method which fits a nonlinear conditional heteroscedastic regression of the parameter on the summary statistics and then adaptively improves estimation using importance sampling.

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Confidence regions in singular weakly nonlinear regression models with constraints

Mathematica Slovaca ◽

10.1515/ms-2015-0136 ◽

2016 ◽

Vol 66 (1) ◽

Author(s):

Lubomír Kubáček

Keyword(s):

Regression Model ◽

Nonlinear Regression ◽

Regression Models ◽

Confidence Region ◽

Confidence Regions ◽

Nonlinear Regression Model ◽

Weakly Nonlinear ◽

Nonlinear Regression Models ◽

Linearized Model ◽

Confidence Ellipsoid

AbstractIt is rather complicated to construct the confidence region in nonlinear regression model mainly when number of parameters is large. If the nonlinearity of the model is weak, then it is possible, after some modification, to approximate the confidence region by a confidence ellipsoid in the linearized model. The aim of the paper is to propose a solution in singular models with constraints.

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