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math.DS2009
A gradient system on the quantum information space realizing the averaged learning equation of Hebb type
Yoshio Uwano, Hiromi Yuya
The averaged learning equation (ALEH) applicable to the principal component analyzer is studied from both quantum information geometry and dynamical system viewpoints. On the quant…
math.DS2008
A gradient system on the quantum information space that realizes the Karmarkar flow for linear programming
Yoshio Uwano, Hiromi Yuya
In the paper of Uwano [Czech. J. of Phys., vol.56, pp.1311-1316 (2006)], a gradient system is found on the space of density matrices endowed with the quantum SLD Fisher metric (to…