A General Approach to Molecular Reconstruction Accuracy Estimation

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详细

A generalization to a few molecular reconstruction methods has been proposed along with a general approach for the accuracy estimation of molecular reconstruction methods. The proposed algorithm estimates the covariance matrix of model parameters based on the matrix of calculated property derivatives with respect to the model parameters and the covariance matrix of measurement error, which allows one to estimate the concentration range in which the solution will not violate collected experimental data. The proposed algorithm is especially easy to use when forward automatic differentiation is employed to find derivatives.

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作者简介

N. Glazov

Boreskov Institute of Catalysis, SB RAS

编辑信件的主要联系方式.
Email: glazov@catalysis.ru
俄罗斯联邦, 5 Lavrentiev Ave., Novosibirsk, 630090

A. Zagoruiko

Boreskov Institute of Catalysis, SB RAS

Email: glazov@catalysis.ru
俄罗斯联邦, 5 Lavrentiev Ave., Novosibirsk, 630090

参考

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2. Fig. 1. Dependence of the calculated average molecular mass on the model parameter: a wide range of molecular masses corresponds to a narrow range of parameters (a) and a narrow range of molecular masses corresponds to a wide range of parameters (b).

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3. Fig. 2. Dependence of the error of the found parameter on the parameter value.

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4. Fig. 3. Dependence of the average absolute error in determining concentration on the model parameter.

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5. Fig. 4. Dependence of the calculated molecular mass of the mixture on the value of the model parameter for exact and imprecise constraints.

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6. Fig. 5. Average molecular weight (a) and mass fraction of carbon (b) of the mixture depending on the model parameters.

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7. Fig. 6. Dependence of the logarithm of the standard deviation of the mean (a) and variance (b) on the true parameters of the model.

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8. Fig. 7. Dependence of the logarithm of the standard deviation of the mean (a), variance (b) and correlation coefficient (c).

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