Comment on “Finite Size Scaling in Neural Networks”
نویسندگان
چکیده
منابع مشابه
Finite Size Scaling in Neural Networks
We demonstrate that the fraction of pattern sets that can be stored in singleand hidden-layer perceptrons exhibits finite size scaling. This feature allows one to estimate the critical storage capacity ac from simulations of relatively small systems. We illustrate this approach by determining ac , together with the finite size scaling exponent n, for storing Gaussian patterns in committee and p...
متن کاملComment on “Finite-size scaling of the 5D Ising model”
In a recent Letter [1], Mon addresses the disagreement between a renormalization prediction [2] and Monte Carlo (MC) analyses of the critical value of the Binder cumulant in the five-dimensional Ising model. Whereas there is firm evidence supporting his over-all conclusion, namely that the discrepancy can be explained by strong finite-size corrections [3], there is no such evidence for Mon’s id...
متن کاملFinite Size Effects in Neural Networks
In this paper we give an overview of a recently developed theory [1, 2] which allows for calculating nite size corrections to the dynamical equations describing the dynamics of separable Neural Networks, away from saturation. According to this theory, nite size e ects are described by a linear-noise Fokker Planck equation for the uctuations (corresponding to an Ornstein-Uhlenbeck process), whos...
متن کاملFinite Size Scaling
We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared divergences and cannot directly determine the transition temperature in the thermodynamic limit. However, in conjunction with finite size scaling, perturbation th...
متن کاملFinite-Size Scaling in Percolation
This work is a detailed study of the phase transition in percolation, in particular of the question of finite-size scaling: Namely, how does the critical transition behavior emerge from the behavior of large, finite systems? Our results rigorously locate the proper window in which to do critical computation and establish features of the phase transition. This work is a finite-dimensional analog...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.80.4109