Journal ArticleDOI
The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
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TLDR
The experimental scientist is frequently faced with the task of determining the functional relation between a response, y and a number of inputs, x, x2,. * *, x, with the help of empirical data.Abstract:
The experimental scientist is frequently faced with the task of determining the functional relation between a 'response', y and a number of 'inputs', x , x2, . * * , x, with the help of empirical data. Often the mathematical form of the functional relation is assumed to be known and is written in the form of a 'regression function',read more
Citations
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Journal ArticleDOI
Thermodynamic properties estimation of (oil)-(moringa seeds)-(supercritical CO2) extractive system
TL;DR: In this article , the authors used an inverse method on a mechanistic supercritical fluid extraction (SFE) dynamic model to estimate the tortuosity factor of moringa seeds and a thermodynamic model for distribution constant of (oil)-moringa seeds)-(CO2) system.
Proceedings ArticleDOI
Learning to Solve Nonlinear Optimization Problem with Deep Reinforcement Learning
TL;DR: In this article , a robust optimization method utilizing deep rein-forcement learning algorithms to solve nonlinear least-squares problems is proposed, which outperforms Newton's method in terms of computation cost, convergence speed and initial values sensibility.
Journal ArticleDOI
Elimination of initial conditions in linear dynamic batch process identification by least squares
V. T. Xuyen,W. Y. Svrcek +1 more
TL;DR: Simulation of Lawton's and Sylvestre's idea permits an approximate on-line identification procedure to be developed to update the model as data from each new batch are received.
Proceedings ArticleDOI
High-fidelity forward model for determining combustion efficiency of industrial flares
TL;DR: This model takes user-supplied layer temperatures and molecular concentrations and provides the retrieval algorithm with bandpass-specific spectral radiances for least-squares fitting against measured data and derivatives with respect to the dependent variables (to adjust the next iterative step).
References
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Journal ArticleDOI
A method for the solution of certain non – linear problems in least squares
TL;DR: In this article, the problem of least square problems with non-linear normal equations is solved by an extension of the standard method which insures improvement of the initial solution, which can also be considered an extension to Newton's method.
Book ChapterDOI
On the Experimental Attainment of Optimum Conditions
George E. P. Box,K. B. Wilson +1 more
TL;DR: The work described in this article is the result of a study extending over the past few years by a chemist and a statistician, which has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but they believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.