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.
Bibliographical noteCopyright © 1998 Published by Elsevier Science B.V. All rights reserved.
- regularization method
- non-extensive maximum entropy principle
Rebollo - Neira, L., Plastino, A., & Fernandez-Rubio, J. (1998). A non-extensive maximum entropy based regularization method for bad conditioned inverse problems. Physica A, 261(3-4), 555-568. https://doi.org/10.1016/S0378-4371(98)00400-2