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Nemoto, K., & Takayama, H. (1985). TAP free energy structure of SK spin glasses. Journal of Physics C: Solid State Physics, 18, L529--L535.

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Variational Cumulant Expansions for Intractable Distributions - Barber, Laar (1999)   (4 citations)  (Correct)

.... The independence criterion, i.e. FTAP = 0, leads now to the fixed point condition i = w i X j w ij m j 1 2 X j w ij 2 (1 Gamma 2m i )m j (1 Gamma m j ) 36) These TAP equations can have poor convergence properties and often produce a poor solution (Bray Moore, 1979; Nemoto Takayama, 1985; Galland, 1993) The additional 2. In Thouless et al. 1977) Plefka (1982) and Kappen and Rodr iguez (1998a) the random variables s i 2 f Gamma1; 1g. 443 Barber van de Laar m m m s 1 s 2 s 3 1 12 13 2 3 23 Gamma Gamma Gamma Gamma Gamma Gamma ....

Nemoto, K., & Takayama, H. (1985). TAP free energy structure of SK spin glasses. Journal of Physics C: Solid State Physics, 18, L529--L535.


Variational Cumulant Expansions for Intractable Distributions - Laar, Barber (1999)   (Correct)

.... The independence criterion, i.e. FTAP = 0, leads now to the fixed point condition i = w i X j w ij m j 1 2 X j w ij 2 (1 Gamma 2m i )m j (1 Gamma m j ) 32) These TAP equations can have poor convergence properties and often produce a poor solution (Bray Moore, 1979; Nemoto Takayama, 1985; Galland, 1993) The additional constraint that the TAP 1. The implicit assumption being that the parameters w are small. 2. In Thouless et al. 1977) Plefka (1982) and Kappen and Rodr iguez (1998a) the random variables s i 2 f Gamma1; 1g. m m m s 1 s 2 s 3 1 12 13 2 3 23 ....

Nemoto, K., & Takayama, H. (1985). TAP free energy structure of SK spin glasses. Journal of Physics C: Solid State Physics, 18, L529--L535.

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