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• W2088406710 startingPage "R2064" @default.
• W2088406710 abstract "Random input patterns induce a partition of the coupling space of feedforward neural networks into different cells according to the generated output sequence. For the perceptron this partition forms a random multifractal for which the spectrum $f(ensuremath{alpha})$ can be calculated analytically using the replica trick. A phase transition in the multifractal spectrum corresponds to the crossover from percolating to nonpercolating cell sizes. Instabilities of negative moments are related to the Vapnik-Chervonenkis (VC) dimension [Theor. Prob. Appl. 16, 264 (1971)]." @default.
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• W2088406710 date "1996-03-01" @default.
• W2088406710 modified "2023-09-23" @default.
• W2088406710 title "Multifractal analysis of the coupling space of feedforward neural networks" @default.
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• W2088406710 doi "https://doi.org/10.1103/physreve.53.r2064" @default.
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