T. Plefka, "Convergence condition of the tap equation for the infinite-ranged Ising spin glass model," J. Phys. A 15, pp. 1971--1978, 1982. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Means, Correlations and Bounds - Leisink, Kappen (2001) (Correct)
....N is the network size. This is the so called sk model (see also [8] Generally speaking, the mean field approximation breaks down for oe = 0 and oe w 0:5, whereas it can be proven that any expansion based approximation is inaccurate when oe w 1 (which is the radius of convergence as in [9]) If oe 6= 0 these maximum values are somewhat larger. In figure 1 we show the logarithm of the exact partition function, the first order or mean field bound, the upper bound (which is roughly quadratic) and the third order lower bound. The weight size is varied along the horizontal axis. One ....
T. Plefka. Convergence condition of the tap equation for the infinite-ranged ising spin glass model. J.Phys.A: Math.Gen., 15:1971.
TAP Gibbs Free Energy, Belief Propagation and Sparsity - Csato, Opper, Winther (2001) (Correct)
....and the desired marginal moments of P are (hSi; hS i) argmin m;M G(m) We will search for an approximation to G which is based on splitting G = G G , where G is the Gibbs free energy for a factorising model that is obtained from (1) by setting all J ij = 0. Previous attempts [6, 7] were based on a truncation of the power series expansion of G with respect to the J ij at second order. While this truncation leads to the correct TAP equations for the large N limit of the so called SK model in statistical physics, its general significance is unclear. In fact, it will not be ....
T. Plefka, Convergence condition of the TAP equations for the infinite-ranged Ising spin glass model, J. Phys. A 15, 1971 (1982).
Error-correcting Codes on a Bethe-like Lattice - Vicente, Saad, Kabashima (Correct)
....of the free energy landscape. 1 Introduction In the last years increasing interest has been devoted to the application of mean field techniques to inference problems. There are many different ways of building mean field theories. One can make a perturbative expansion around a tractable model [1,2], or assume a tractable structure and variationally determine the model parameters [3] Error correcting codes (ECC) are particularly interesting examples of inference problems in loopy intractable graphs [4] Recently the focus has been directed to the state of the art high performance turbo ....
Plefka, T., (1982) Convergence condition of the TAP equation for the infinite-ranged Ising spin glass model. Journal of Physics A 15, 1971-1978.
Means, Correlations and Bounds - Leisink, Kappen (Correct)
....N is the network size. This is the so called sk model (see also [8] Generally speaking, the mean field approximation breaks down for oe = 0 and oe w 0:5, whereas it can be proven that any expansion based approximation is inaccurate when oe w 1 (which is the radius of convergence as in [9]) If oe 6= 0 these maximum values are somewhat larger. In figure 1 we show the logarithm of the exact partition function, the first order or mean field bound, the upper bound (which is roughly quadratic) and the third order lower bound. The weight size is varied along the horizontal axis. One ....
T. Plefka. Convergence condition of the tap equation for the infinite-ranged ising spin glass model. J.Phys.A: Math.Gen., 15:
Efficient learning in Boltzmann Machines using linear.. - Rodríguez (1997) (19 citations) (Correct)
....w ij (Fischer and Hertz, 1991) It is interesting to note that all higher order terms in the fixed point equation are proportional to m i and thus represent corrections to the self coupling term. In the case of the SK model, it can be shown that all terms beyond the Onsager term are negligible (Plefka, 1982). For unfrustrated systems, like the Ising model, the Onsager term itself is negligible) One can obtain the linear response corrections for TAP and higher order mean field corrections in a similar way as was described above, i.e. by variation around the TAP equations. These extensions will be ....
Plefka, T. (1982). Convergence condition of the TAP equation for the infinite-range Ising spin glass model. Journal of Physics A, 24:2173.
Quantum fluctuations and glassy behavior of electrons.. - Metal-Insulator.. (Correct)
No context found.
T. Plefka, "Convergence condition of the tap equation for the infinite-ranged Ising spin glass model," J. Phys. A 15, pp. 1971--1978, 1982.
A Variational Principle for Graphical Models - Wainwright, Jordan (2005) (1 citation) (Correct)
No context found.
T. Plefka. Convergence condition of the TAP equation for the infinite-ranged Ising model. Journal of Physics A, 15(6):1971--1978, 1982.
On the Concentration of Expectation and - Approximate Inference In (Correct)
No context found.
T. Plefka, Convergence condition of the TAP equation for the infinite-ranged Ising spin glass model, J. Phys. A: Math. Gen., 15(6), 1982.
Approximate Inference Algorithms for Two-Layer - Bayesian Networks Andrew (Correct)
No context found.
Plefka, T. (1982). Convergence condition of the TAP equation for the infinite-ranged Ising spin glass model. In J. Phys. A: Math. Gen., 15(6).
Approximate inference algorithms for two-layer Bayesian.. - Andrew Ng Computer (2000) (1 citation) (Correct)
No context found.
Plefka, T. (1982). Convergence condition of the TAP equation for the infinite-ranged Ising spin glass model. In J. Phys. A: Math. Gen., 15(6).
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC