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So, an appropriate number of cycles determined by the fitting error can effectively avoid excessive fitting, promoting model prediction reliability.
Urea denaturation (chevron) plots were fitted to an apparent two-state transition (Eq. 1) with each point weighted by the fitting error on the rate constant.
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So it indicated that PAA_ERR algorithm in multivariate time series piecewise linear representation could get better results by reducing the fitting error.
The multiangle approach has been found useful to improve the fitting of the experimental data by reducing both the fitting error and the correlation between parameters.
The model is then identified by seeking coefficients of the combination that minimize a mixed objective, composed by a term representing the fitting error and a term inducing sparsity in the representation, which results in a problem formulation of the "square-root LASSO" type, with nonnegativity constraints on the variables.
Finally, we determine the empirical distribution of the fitting error denoted by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_E$$\end{document} F E, see Fig. 8.
We have now corrected this oversight by including the fitting errors and by discussing them when we are comparing the slopes and intercepts of the two fitted lines.
The fitting algorithm used the Matlab "lsqnonlin" function to find the four fitting parameters { I t o t, f 1, τ 1, τ 2 } f i t t e d = arg min [ χ 2 ], where the fitting error χ is described by Eq. (2) and the fitting model is described by Eqs.
In the second step, the fitting error of the initial surface is minimized to meet the prescribed fitting error threshold.
The results showed an apparent discrepancy between the theoretical and measured results for the fitting error.
The fitting error.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com