Neurocomputing
Natural gradient works efficiently in learning
Neural Computation
Discovering Polynomials to Fit Multivariate Data Having Numeric and Nominal Variables
Progress in Discovery Science, Final Report of the Japanese Discovery Science Project
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Algebraic Geometry and Statistical Learning Theory
Algebraic Geometry and Statistical Learning Theory
Implementing online natural gradient learning: problems and solutions
IEEE Transactions on Neural Networks
Dynamics of Learning in Multilayer Perceptrons Near Singularities
IEEE Transactions on Neural Networks
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In the parameter space of MLP(J), multilayer perceptron with J hidden units, there exist flat areas called singular regions created by applying reducibility mappings to the optimal solution of MLP($$J-1$$). Since such singular regions cause serious stagnation of learning, a learning method to avoid singular regions has been desired. However, such avoiding does not guarantee the quality of the final solutions. This paper proposes a new learning method which does not avoid but makes good use of singular regions to stably and successively find excellent solutions commensurate with MLP(J). The proposed method worked well in our experiments using artificial and real data sets.