Learning of higher-order perceptrons with tunable complexities
Hyoungsoo Yoon; Jong-Hoon Oh; Hyoungsoo Yoon; Physics Department and Basic Science Research Institute, Pohang University of Science and Technology, Pohang, South Korea 790-784; Jong-Hoon Oh; Physics Department and Basic Science Research Institute, Pohang University of Science and Technology, Pohang, South Korea 790-784
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1998-09-25
Аннотация:
We study learning from examples by higher-order perceptrons, which realize polynomially separable rules. The model complexities of the networks are made `tunable' by varying the relative orders of different monomial terms. We analyse the learning curves of higher-order perceptrons when the Gibbs algorithm is used for training. It is found that learning occurs in a stepwise manner. This is because the number of examples needed to constrain the corresponding phase-space component scales differently.
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