multiway interactions of firing neurons

[Shunichi Amari]

Announcement of a new paper by Amari:

The following paper entitled 

"Information Geometry on Hierarchical Decomposition of
Stochastic Interactions"

has been submitted to IEEE Trans. IT.  The paper gives
a method of orthogonal decomposition of higher order
or multi-way interactions of random variables into
the sum of those of lower interactions.  Information
Geometry gives a good solution to this problem.  The
theory can be applied to decomposition of interactions
among an ensemble of firing neurons.  I obtained the
results more than ten years ago, having given a talk
at a meeting in Japanese Mathematical Society. But I
could not find sufficient time to write them in a paper form
until now.

This is read at 


http://www.islab.brain.riken.go.jp/~amari/pub_j.html

or

http://www.islab.brain.riken.go.jp/~amari/pub/IGHI.ps.gz
(for gziped ps file)

http://www.islab.brain.riken.go.jp/~amari/pub/IGHI.pdf
(for pdf file)

*********************
Shun-ichi Amari

Wako-shi, Hirosawa 2-1, Saitama 351-0198, Japan
RIKEN Brain Science Institute
Director of Brain-Style Information Systems Research Group
Laboratory for Information Synthesis, Head

tel: +81-(0)48-467-9669
fax: +81-(0)48-467-9687
e-mail: amari at brain.riken.go.jp
home page: http://www.bsis.brain.riken.go.jp/