2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15934We 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.7 pages, 1 figure, Submitted to Phys.Lett.AStatistical Mechanicstext