Volume 17, Issue 40 (Mathematic- 2015)
2015, 17(40): 75-84 |
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Keshvari A, Hosseni S. a mathematical analysis of new L-curve to estimate the parameters of Regularization in TSVD method. Journal title 2015; 17 (40) :75-84
URL: http://jsci.khu.ac.ir/article-1-2156-en.html
URL: http://jsci.khu.ac.ir/article-1-2156-en.html
Abstract: (5599 Views)
A new technique to find the optimization parameter in TSVD regularization method based on a curve which is drawn against the residual norm [5]. Since the TSVD regularization is a method with discrete regularization parameter then the above-mentioned curve is also discrete. In this paper we present a mathematical analysis of this curve, showing that the curve has L-shaped path very similar to that of the classical L-curve and its corner point can represent the optimization regularization parameter very well. In order to find the corner point of the L-curve (optimization parameter), two methods are applied: pruning and triangle. Numerical results show that in the considered test problems the new curve is better than the classical L-curve.
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