Finite Size Scaling of Perceptron

Preprint English OPEN
Korutcheva, Elka; Tonchev, N.;
(2000)
  • Subject: Condensed Matter - Statistical Mechanics

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 transiti... View more
  • References (21)
    21 references, page 1 of 3

    [1] W.Nadler and W.Fink, Phys.Rev.Lett. 78(1997)555.

    [2] S.Kirkpatrick and B.Selman, Science 264(1994)1297.

    [3] R.Monasson and R.Zecchina, Phys.Rev.E56(1997)1357.

    [4] P.Erd¨os and A.R´enyi, Publ. Math.Inst.Hung.Acad. Sci. 5(1960)17.

    [5] P.R.A.Campos and J.F.Fontanari, Phys.Rev. E58(1998) 2664.

    [6] R.Monasson at al., Nature 400(1999)133.

    [7] V.Privman, Ed., Finite-size Scaling and Numerical Simulations of Statistical Systems, World Scientific, Singapore, 1990.

    [8] M.Barber in:Phase Transitions and Critical Phenomena, Eds. C.Domb and J.L.Lebowitz, Academic, London, 1983, vol.8.

    [9] K.Binder, in The Monte Carlo Method in Condensed Matter Physics, SpringerVerlag, 1992.

    [10] T.M.Cover, IEEE Trans.Electron.Comput. 14(1965)326.

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