A non-extensive maximum entropy based regularization method for bad conditioned inverse problems
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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.
CitationRebollo-Neira, L., Fernandez, J., Plastino, A. A non-extensive maximum entropy based regularization method for bad conditioned inverse problems. "Physica. A", Agost 1998, vol. 261, núm. 3-4, p. 555-568.