Dynamics of learning near singularities in radial basis function networks

[1]  Shun-ichi Amari,et al.  Dynamics of Learning in Multilayer Perceptrons Near Singularities , 2008, IEEE Transactions on Neural Networks.

[2]  Shun-ichi Amari,et al.  Dynamics of Learning Near Singularities in Layered Networks , 2008, Neural Computation.

[3]  S. Amari,et al.  Dynamics of Learning in Multilayer Perceptrons , 2008 .

[4]  Shun-ichi Amari,et al.  21aWB-2 Dynamics of Learning in Multilayer Perceptrons near the Singularity , 2007 .

[5]  S. Amari,et al.  Singularities Affect Dynamics of Learning in Neuromanifolds , 2006, Neural Computation.

[6]  Hyeyoung Park,et al.  Slow Dynamics Due to Singularities of Hierarchical Learning Machines , 2005 .

[7]  Kenji Fukumizu,et al.  Local minima and plateaus in hierarchical structures of multilayer perceptrons , 2000, Neural Networks.

[8]  David Saad,et al.  Online Learning in Radial Basis Function Networks , 1997, Neural Computation.

[9]  D. Saad,et al.  Dynamics of on-line learning in radial basis function networks , 1997 .

[10]  Kenji Fukumizu,et al.  A Regularity Condition of the Information Matrix of a Multilayer Perceptron Network , 1996, Neural Networks.

[11]  Saad,et al.  On-line learning in soft committee machines. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Michael Biehl,et al.  Learning by on-line gradient descent , 1995 .

[13]  S. Geman.  SOME AVERAGING AND STABILITY RESULTS FOR RANDOM DIFFERENTIAL EQUATIONS , 1979 .

[14]  Shun-ichi Amari,et al.  A Theory of Adaptive Pattern Classifiers , 1967, IEEE Trans. Electron. Comput..

[15]  A. Ostrowski.  A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA. , 1959, Proceedings of the National Academy of Sciences of the United States of America.

[16]  N. Cantor.  Dynamics of learning , 1947 .