Paper Info
Title
An averaging method for a committee of special-orthogonal-group machines
Abstract
The present paper aims at introducing a novel procedure for designing an averaging algorithm for a committee of learning machines under the assumption that the machines share a common parameter-space, namely, the group of special orthogonal matrices SO(p). The averaging procedure inputs the patterns learnt by the machines in the committee and outputs a mean-matrix that represents an average of machines' patterns. Since the space SO(p) is a curved manifold, averaging does not carry on the usual (Euclidean) meaning and should be designed on the basis of the parameter-space's geometric properties.
Year
DOI
Venue
2008
10.1109/ISCAS.2008.4541881
Seattle, WA
Keywords
Field
DocType
differential geometry,learning (artificial intelligence),matrix algebra,averaging method,geometric properties,learning machines,special orthogonal matrices,special-orthogonal-group machines
Orthogonal matrix,Algebra,Computer science,Control theory,Matrix algebra,Algorithm,Differential geometry,Euclidean geometry,Orthogonal group,Manifold
Conference
ISSN
ISBN
Citations 
0271-4302
978-1-4244-1684-4
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Simone Fiori149452.86
T. Tanaka263895.91