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

被引：4
|
作者：
Rebollo-Neira, L
Fernandez-Rubio, J
Plastino, A
机构：
[1] Natl Univ La Plata, Dept Fis, RA-1900 La Plata, Argentina
[2] UPC, Escola Tecn Super, Dept Teoria Senyal & Comunicac, Barcelona 08034, Spain
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1998年 / 261卷 / 3-4期
关键词：
D O I：
10.1016/S0378-4371(98)00400-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 component which col-responds to the well known regularized solution of Tikhonov. (C) 1998 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：555 / 568
页数：14
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