A non-extensive maximum entropy based regularization method for bad conditioned inverse problems


A regularization method based on the non-extensive maximum entropy principle is devised. Special emphasis is given to the q=1/2 case. We show that, when the residual principle is considered as constraint, the q=1/2 generalized distribution of Tsallis yields a regularized solution for bad-conditioned problems. The so devised regularized distribution is endowed with a component which corresponds to the well known regularized solution of Tikhonov.

Publication DOI: https://doi.org/10.1016/S0378-4371(98)00400-2
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright © 1998 Published by Elsevier Science B.V. All rights reserved.
Uncontrolled Keywords: regularization method,non-extensive maximum entropy principle,Tikhonov
Publication ISSN: 1873-2119
Last Modified: 15 Jan 2024 08:03
Date Deposited: 06 Mar 2019 11:48
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Related URLs: http://www.else ... ion#description (Publisher URL)
PURE Output Type: Article
Published Date: 1998-12-15
Authors: Rebollo - Neira, Laura (ORCID Profile 0000-0002-7420-8977)
Plastino, A.
Fernandez-Rubio, J.



Version: Accepted Version

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