Solution of 'Solvable model of a spin glass'

By D. Thouless, P. Anderson, R. Palmer. 1977

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Citations in the corpus

Revealing evolutionary constraints on proteins through sequence analysis (2018, background): “The expansion can be extended to higher order, and the second-order expansion is known as the Thouless, Anderson, and Palmer (TAP) free energy [50,59].”
Direct-coupling analysis of residue coevolution captures native contacts across many protein families (2011, methodology): “Furthermore, it is straightforward to include into DCA also the next order of the small-coupling expansion beyond the mean-field approximation (This corresponds to the so-called TAP equations in spin-glass physics (49)).”
Vector Approximate Message Passing (2019, background): “The term (19) is known as the Onsager term in the statistical physics literature [28].”
Probabilistic reconstruction in compressed sensing: algorithms, phase diagrams, and threshold achieving matrices (2012, methodology): “In statistical physics terms, this corresponds to the Thouless–Anderson–Palmer equations (TAP) [12] used in the study of spin glasses.”
Theoretical perspective on the glass transition and amorphous materials (2010, methodology): “In this context F is called the ‘TAP’ free energy since its introduction by Thouless, Anderson and Palmer in the context of mean-field spin glasses (Thouless et al., 1977).”
Optimal errors and phase transitions in high-dimensional generalized linear models (2017, methodology): “…results stated above are of an information-theoretic nature, our fourth one concerns the performance of an algorithm for solving random instances of GLMs called GAMP (11–13), which is closely related to the Thouless–Anderson–Palmer (TAP) equations developed in statistical physics (41, 56, 57).”
The effective temperature (2011, methodology): “This has been done in the IS formalism [64] and in a framework that is closer to the TAP one [66].”
Quantum Optimization of Fully-Connected Spin Glasses (2014, background): “The classical (B(t) = 0) SKM was one of the first model for which the existence of the spin glass phase transition has been proven [39] to occur at Tc = |J | √ N , where |J |2 is the variance of the random couplings.”
Gaussian Processes for Classification: Mean-Field Algorithms (2000, methodology): “Our method is based on a TAP ( Thouless, Anderson, & Palmer, 1977; M´ ezard, Parisi, & Virasoro, 1987) type of mean-field approximation, which goes beyond a variational approximation of the posterior by a product distribution.,A possible way to approach this problem is its conversion into the minim”
Mean-field theory of hard sphere glasses and jamming (2008, background): “In mean field these states can be defined as minima of a suitable free-energy functional: the TAP functional (Mézard et al., 1987; Thouless et al., 1977) for spin systems, or a suitable density functional for particle systems (Chaudhuri et al., 2005; Dasgupta and Valls, 1999; Kirkpatrick and…”
Statistical physics of inference: thresholds and algorithms (2015, background): “add up into the so-called Onsager reaction terms [222].”