Locality of global stochastic interaction in directed acyclic networks.

Abstract:

:The hypothesis of invariant maximization of interaction (IMI) is formulated within the setting of random fields. According to this hypothesis, learning processes maximize the stochastic interaction of the neurons subject to constraints. We consider the extrinsic constraint in terms of a fixed input distribution on the periphery of the network. Our main intrinsic constraint is given by a directed acyclic network structure. First mathematical results about the strong relation of the local information flow and the global interaction are stated in order to investigate the possibility of controlling IMI optimization in a completely local way. Furthermore, we discuss some relations of this approach to the optimization according to Linsker's Infomax principle.

journal_name

Neural Comput

journal_title

Neural computation

authors

Ay N

doi

10.1162/089976602760805368

subject

Has Abstract

pub_date

2002-12-01 00:00:00

pages

2959-80

issue

12

eissn

0899-7667

issn

1530-888X

journal_volume

14

pub_type

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