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Sparsity-Homotopy Perturbation Inversion Method with Wavelets and Applications to Black-Scholes Model and Todaro Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Sparsity regularization method plays an important role in reconstructing parameters.
Compared with traditional regularization methods, sparsity regularization method has the ability to obtain better performance for reconstructing sparse parameters.
However, sparsity regularization method does not have the ability to reconstruct smooth parameters.
For overcoming this difficulty, we combine a sparsity regularization method with a wavelet method in order to transform smooth parameters into sparse parameters.
We use a sparsity-homotopy perturbation inversion method to improve the accuracy and stability and apply the proposed method to reconstruct parameters for a Black-Scholes option pricing model and a Todaro model.
Numerical experiments show that the proposed method is convergent and stable.
American Psychological Association (APA)
Dou, Yixin& Wang, Zhihao. 2016. Sparsity-Homotopy Perturbation Inversion Method with Wavelets and Applications to Black-Scholes Model and Todaro Model. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1111870
Modern Language Association (MLA)
Dou, Yixin& Wang, Zhihao. Sparsity-Homotopy Perturbation Inversion Method with Wavelets and Applications to Black-Scholes Model and Todaro Model. Mathematical Problems in Engineering No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1111870
American Medical Association (AMA)
Dou, Yixin& Wang, Zhihao. Sparsity-Homotopy Perturbation Inversion Method with Wavelets and Applications to Black-Scholes Model and Todaro Model. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1111870
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111870