Arbib's response to "open letter to Amari"

[Konrad Weigl]

Ref. Dr. Arbib's answer in Volume Digest V9 #9

I am not familiar enough with the work of Pellionisz, or proficient
enough in the mathematics of General Spaces to judge upon the
mathematical rigour of his work; however, whatever that rigour, as far as
I know, he was the first to link the concept of Neural Networks with
non-euclidian Geometry at all.

That he did so to analyze the dynamics of biological Neural networks, and
Dr. Amari used non-euclidian Geometry later to give a metric to spaces of
different types of Neural Networks, and a geometric interpretation of
learning, does not change one iota of that fact above.

This is not to denigrate Dr. Amari's contribution to the field, of course.


Konrad Weigl               Tel. (France) 93 65 78 63
Projet Pastis              Fax  (France) 93 65 76 43
INRIA-Sophia Antipolis     email Weigl at sophia.inria.fr
2004 Route des Lucioles    
B.P. 109
06561 Valbonne Cedex
France


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