Abstract: Based on the concept of Big Data Modeling, the errors in determining peak parameters of noisy Gaussian triplets using nonlinear least squares curve fitting have been evaluated. Calculations were performed using Gauss-Newton (with Levenberg-Marquardt modifications) and genetic algorithms The probability that the relative error in estimating each model parameter is not greater than a priory given limit for a given fitting error has been calculated. It was shown that using the derivative mode for curve fitting has no advantage over the normal mode. It was demonstrated that the mean errors for the genetic algorithm are significantly greater than for the Gauss-Newton algorithm. It was found that the mean probability for triplets is hig...
A procedure for quantitative evaluation of cross-peak volumes in spectra of any order of dimensions ...
A new parameter-estimation algorithm, which minimises the cross-validated prediction error for linea...
(A) Diagram (not to scale) of the demographic model with all the optimized parameters in blue for th...
Abstract: Errors in determining peak parameters of the huge sets of Gaussian doublets using nonlinea...
Abstract: Based on the concept of Big Data Modeling, the errors in determining peak parameters of no...
Curve reconstruction from noisy point samples is needed for surface reconstruction in many applicati...
A new parameter estimation algorithm which minimises the cross-validated prediction error for linear...
Author Institution: Department of Chemistry, Vanderbilt UniversityThe usual outcome of a detailed an...
The simplex algorithm is used to perform curve-resolution of fused peak systems. The gaussian functi...
Low spectral resolution and extensive peak overlap are the common challenges that preclude quantitat...
The effectiveness of decomposing complex spectral contours into components using the least squares m...
Purpose-Curve fitting from unordered noisy point samples is needed for surface reconstruction in man...
Least‐squares fitting is reviewed, in tutorial form, when both variables contain significant errors....
<p>This applies to both peak 0 (high, narrow peak) and peak 1 (lower, flatter peak). (with being p...
In this paper, some new algorithms for estimating the biasing parameters of the ridge, Liu and two-p...
A procedure for quantitative evaluation of cross-peak volumes in spectra of any order of dimensions ...
A new parameter-estimation algorithm, which minimises the cross-validated prediction error for linea...
(A) Diagram (not to scale) of the demographic model with all the optimized parameters in blue for th...
Abstract: Errors in determining peak parameters of the huge sets of Gaussian doublets using nonlinea...
Abstract: Based on the concept of Big Data Modeling, the errors in determining peak parameters of no...
Curve reconstruction from noisy point samples is needed for surface reconstruction in many applicati...
A new parameter estimation algorithm which minimises the cross-validated prediction error for linear...
Author Institution: Department of Chemistry, Vanderbilt UniversityThe usual outcome of a detailed an...
The simplex algorithm is used to perform curve-resolution of fused peak systems. The gaussian functi...
Low spectral resolution and extensive peak overlap are the common challenges that preclude quantitat...
The effectiveness of decomposing complex spectral contours into components using the least squares m...
Purpose-Curve fitting from unordered noisy point samples is needed for surface reconstruction in man...
Least‐squares fitting is reviewed, in tutorial form, when both variables contain significant errors....
<p>This applies to both peak 0 (high, narrow peak) and peak 1 (lower, flatter peak). (with being p...
In this paper, some new algorithms for estimating the biasing parameters of the ridge, Liu and two-p...
A procedure for quantitative evaluation of cross-peak volumes in spectra of any order of dimensions ...
A new parameter-estimation algorithm, which minimises the cross-validated prediction error for linea...
(A) Diagram (not to scale) of the demographic model with all the optimized parameters in blue for th...