| Alternate document: Details Initial Values for the Exponential Sum Least Squares Fitting Problem (98) Jöran Petersson, Kenneth Holmström |
| Alternate document: Details Initial Values for Two Classes of Exponential Sum Least Squares Fitting Problems (98) Jöran Petersson, Kenneth Holmström |
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Abstract: In an earlier report the authors developed an initial value algorithm for one class of exponential sum least squares fitting problems. As a natural extension of that problem the authors in this paper develop an initial value algorithm for a slightly different model in the class of exponential models, f (t) = P p i=1 a i (1 \Gamma exp (\Gammab i t)), which occurs in radiophysics in medicin. A method of generalized interpolation will provide initial values a = [a 1 ; :::; a p ] ; b = [b 1 ; ... (Update)
Context of citations to this paper: More
...and positive, then set z : max( min(z; 1) if needed. The solution procedure and the explicit formulas for z are discussed in detail in [10]. 3 Information criterion The information distance has a physical interpretation as a measure of negative entropy. If the entropy of the...
...exp ( Gammab i r) 1.2) to data. An algorithm with explicit solutions when p 2 and numerical solutions for p 3 for this as presented in [30] is reviewed here. Modified Prony methods and GI can be combined into GP (Generalized Prony) This is made by reparametrizing a partial...
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4: A method for fitting linear combinations of exponentials (context) - Cornell - 1962
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BibTeX entry: (Update)
Joran Petersson and Kenneth Holmstrom. Initial values for a class of exponential sum least squares fitting problems. Technical Report IMa-TOM-1998-04, Department of Mathematics and Physics, Malardalen University, Sweden, 1998. http://citeseer.ist.psu.edu/petersson98initial.html More
@misc{ petersson98initial,
author = "J. Petersson and K. Holmstrom",
title = "Initial values for a class of exponential sum least squares fitting problems",
text = "Joran Petersson and Kenneth Holmstrom. Initial values for a class of exponential
sum least squares fitting problems. Technical Report IMa-TOM-1998-04, Department
of Mathematics and Physics, Malardalen University, Sweden, 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/petersson98initial.html" }
Citations (may not include all citations):21 Introduction to Maple (context) - Heck - 1993
16 A MATLAB Toolbox for Nonlinear Optimization and Parameter Es.. (context) - Holmstrom - 1997
14 Variational methods for non-linear least squares (context) - Al-Baali, Fletcher - 1985
8 Open MATLAB Environment for Research and Teaching in Optimiz.. (context) - Holmstrom, Purpose - 1997
8 TOMLAB - An Environment for Solving Optimization Problems in.. - Holmstrom - 1997
7 A method for fitting linear combinations of exponentials (context) - Cornell - 1962
5 A direct method for fitting linear combinations of exponenti.. (context) - Agha - 1971
4 Initial values for the exponential sum least squares fitting.. - Petersson, Holmstrom - 1998
1 A modified Prony algorithm for fitting sums of exponential f.. (context) - Osborne, Smyth - 1995
The graph only includes citing articles where the year of publication is known.
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Identifying Parameters and Model Order for Two Classes of.. - Petersson, Holmström (1998) (Correct)
Global Optimization Using the DIRECT Algorithm in Matlab - Björkman, Holmström (1999) (Correct)
TOMLAB - v2.0 User's Guide - Holmström (2000) (Correct)
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