Title
Neural learning algorithms based on mappings: the case of the unitary group of matrices
Abstract
Neural learning algorithms based on optimization on manifolds differ by the way the single learning steps are effected on the neural system's parameter space. In this paper, we present a class counting four neural learning algorithms based on the differential geometric concept of mappings from the tangent space of a manifold to the manifold itself. A learning stepsize adaptation theory is proposed as well under the hypothesis of additiveness of the learning criterion. The numerical performances of the discussed algorithms are illustrated on a learning task and are compared to a reference algorithm known from literature.
Year
DOI
Venue
2007
10.1007/978-3-540-74690-4_87
ICANN (1)
Keywords
Field
DocType
numerical performance,unitary group,differential geometric concept,single learning step,reference algorithm,stepsize adaptation theory,neural system,tangent space,parameter space
Competitive learning,Semi-supervised learning,Stability (learning theory),Computer science,Empirical risk minimization,Wake-sleep algorithm,Algorithm,Unsupervised learning,Artificial intelligence,Computational learning theory,Machine learning,Learning classifier system
Conference
Volume
ISSN
ISBN
4668
0302-9743
3-540-74689-7
Citations 
PageRank 
References 
0
0.34
5
Authors
1
Name
Order
Citations
PageRank
Simone Fiori149452.86