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Finite Size Scaling of Perceptron

Elka Korutcheva·N. Tonchev
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Abstract

We study the first-order transition in the model of a simple perceptron with continuous weights and large, bit finite value of the inputs. Making the analogy with the usual finite-size physical systems, we calculate the shift and the rounding exponents near the transition point. In the case of a general perceptron with larger variety of inputs, the analysis only gives bounds for the exponents.

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Elka Korutcheva, N. Tonchev. 2000-01-10. Finite Size Scaling of Perceptron. https://arxiv.org/abs/cond-mat/0001100

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