Finite Size Scaling of Perceptron

Details Finite Size Scaling of Perceptron Finite Size Scaling of Perceptron

2000-01-10

arxiv.org/abs/cond-mat/0001100v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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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