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• W2037663012 abstract "We study the role played by the dilution in the average behavior of a perceptron model with continuous coupling with the replica method. We analyze the stability of the replica symmetric solution as a function of the dilution field for the generalization and memorization problems. Thanks to a Gardner like stability analysis we show that at any fixed ratio $alpha$ between the number of patterns M and the dimension N of the perceptron ($alpha=M/N$), there exists a critical dilution field $h_c$ above which the replica symmetric ansatz becomes unstable." @default.
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• W2037663012 date "2013-02-12" @default.
• W2037663012 modified "2023-10-18" @default.
• W2037663012 title "Stability of the replica symmetric solution in diluted perceptron learning" @default.
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• W2037663012 doi "https://doi.org/10.1088/1742-5468/2013/02/l02002" @default.
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