arXiv:cond-mat/0001100 Abstract

arXiv:cond-mat/0001100Abstract References Reviews Resources

Finite Size Scaling of Perceptron

Published 2000-01-10Version 1

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.

Comments: 7 pages, 1 figure, Submitted to Phys.Lett.A

Categories: cond-mat.stat-mech

Keywords: finite size scaling, bit finite value, first-order transition, simple perceptron, larger variety

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