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Abstract: Exponential sum models f (t) = P p i=1 a i exp (\Gammab i t) are used frequently: In heat diffusion, diffusion of chemical compounds, time series in medicine, economics and the physical sciences and technology. As the fitting of an exponential sum by e.g. a least squares criterion is difficult, good initial values for the parameters a = [a 1 ; :::; a p ] ; b = [b 1 ; :::; b p ] are needed. Interpolation methods will provide initial values and these are then refined by general least squares... (Update)
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...KEYWORDS: MATLAB, Optimization, Mathematical Software, Algorithms, Nonlinear Least Squares. 1 Introduction In a previous report, [11] we studied the problem of finding good initial values to a class of exponential sum least squares fitting problem. We used generalized...
.... iterative weighted least squares refinement with initial values from an algorithm, which the authors developed in two earlier reports [9, 8]. This paper is organized as follows: Section 2 gives some examples of information criteria and discuss different weights w j in (3) The...
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3: Fitting empirical data by positive sums of exponentials (context) - Ruhe - 1980
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BibTeX entry: (Update)
Joran Petersson and Kenneth Holmstrom. Initial values for the exponential sum least squares fitting problem. Technical Report IMa-TOM-1998-01, Department of Mathematics and Physics, Malardalen University, Sweden, 1998. Methods for Parameter Estimation in Exponential Sums 8 http://citeseer.ist.psu.edu/article/petersson98initial.html More
@misc{ petersson98initial,
author = "J. Petersson and K. Holmstrom",
title = "Initial values for the exponential sum least squares fitting problem",
text = "Joran Petersson and Kenneth Holmstrom. Initial values for the exponential
sum least squares fitting problem. Technical Report IMa-TOM-1998-01, Department
of Mathematics and Physics, Malardalen University, Sweden, 1998. Methods
for Parameter Estimation in Exponential Sums 8",
year = "1998",
url = "citeseer.ist.psu.edu/article/petersson98initial.html" }
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Global Optimization Using the DIRECT Algorithm in Matlab - Björkman, Holmström (1999) (Correct)
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