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The present parameter estimation problem was solved with Levenberg Marquardt's method of minimization of the ordinary least-squares norm.
The present parameter estimation problem is solved with Levenberg Marquardt's method of minimization of the ordinary least-squares norm, by using simulated temperature data with random errors.
The present parameter estimation problem is solved with Levenberg Marquardt's method of minimization of the ordinary least-squares norm, by using simulated temperature data containing random errors.
Thus, using the simulated experimental data resulted in a parameter estimation problem that was solved via the Levenberg-Marquardt method of minimization of the least-squares norm.
The present parameter estimation problem is solved with the Levenberg Marquardt method of minimization of the least square norm representing the square difference between the measured mass variations during cardboard pyrolysis and the mass responses obtained with numerical solution of the model.
During the recordings, the Feds turned the tapes on and off as a method of "minimization".
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Therefore, a significant reduction (about 50 100 times) in calculations of the identification functional can be achieved in comparison with the conventional methods of minimization.
Therefore, a significant reduction (about 50 100 times) in calculations of the identification functional is achieved in comparison with the conventional methods of minimization.
The fitting method between experiment and calculation data was carried out using numerical method of error minimization by sum of square error (SSE) principle.
In this work, we propose the Method of Uncertainty Minimization using Polynomial Chaos Expansions (MUM-PCE) to quantify and constrain these uncertainties.
The method of uncertainty minimization using polynomial chaos expansions (MUM-PCE) (Sheen and Wang, 2011) was employed to constrain the model uncertainty for laminar flame speed predictions.
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