Now showing items 1-4 of 4

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

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio; Plastino, Angel Luís (1998-01)
    Article
    Open Access
    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 ...
  • Frames: a maximum entropy statistical estimate of the inverse problem 

    Rebollo Neira, Laura; Fernández Rubio, Juan Antonio; Plastino, Angel Luís (1997-01)
    Open Access
    A maximum entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that defines a mapping with no unique ...
  • On the q=1/2 non-extensive maximum entropy distribution 

    Rebollo Neira, Laura; Plastino, Angel Luís; Fernández Rubio, Juan Antonio (1998-01)
    Article
    Open Access
    A detailed mathematical analysis on the q = 1/2 non-extensive maximum entropy distribution of Tsallis' is undertaken. The analysis is based upon the splitting of such a distribution into two orthogonal components. One ...
  • Reconstruction of the join time-delay Doppler-scale reflectivity density in the wide-band regime. A frame theory based approach 

    Rebollo Neira, Laura; Plastino, Angel Luís; Fernández Rubio, Juan Antonio (American Institute of Physics, 2000-08-31)
    Article
    Restricted access - publisher's policy
    The inverse scattering problem concerning the determination of the joint time-delay Doppler-scale reflectivity density characterizing continuous target environments is addressed by recourse to the generalized frame theory. ...