A non-extensive maximum entropy based regulations method for bad conditioned inverse problems
| Contribuinte(s) |
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
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| Data(s) |
10/05/2012
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| Resumo |
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 (1977). |
| Identificador | |
| Idioma(s) |
eng |
| Direitos |
Consulteu les condicions d'ús d'aquest document en el repositori original:<a href="http://hdl.handle.net/2117/1609">http://hdl.handle.net/2117/1609</a> |
| Palavras-Chave | #Àrees temàtiques de la UPC::Enginyeria electrònica i telecomunicacions::Processament del senyal #Quantum statistics #Thermodynamics #Constraint theory #Inverse problems #Maximum entropy methods #Quantum statistical mechanics #Nonextensive maximum entropy #Poorly conditioned inverse problems #Generalized Tsallis distribution #Regularized distribution #Tikhonov solution #Numerical tests #Estadística quàntica #Termodinàmica -- Models matemàtics |
| Tipo |
info:eu-repo/semantics/article |
