Estimation in spin glasses: a first step

DOI10.1214/009053607000000109zbMath1126.62128arXivmath/0604634OpenAlexW3105856171MaRDI QIDQ2466676

Sourav Chatterjee

Publication date: 16 January 2008

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604634

zbMATH Keywords

estimationconsistencyexponential familiesneural networks

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Applications of statistics to physics (62P35) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (11)

Universality of the mean-field for the Potts model ⋮ Nonlinear large deviations ⋮ Dimension reduction in vertex-weighted exponential random graphs ⋮ Concentration and consistency results for canonical and curved exponential-family models of random graphs ⋮ Fitting and testing log-linear subpopulation models with known support ⋮ Inference in Ising models on dense regular graphs ⋮ Joint estimation of parameters in Ising model ⋮ Estimating and understanding exponential random graph models ⋮ Spin glasses and Stein's method ⋮ Global testing against sparse alternatives under Ising models ⋮ On testing for parameters in Ising models

Cites Work

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• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• The thermodynamic limit in mean field spin glass models
• Broken replica symmetry bounds in the mean field spin glass model
• Stein's method for concentration inequalities
• The Parisi formula
• Polynomial-Time Approximation Algorithms for the Ising Model
• Neural networks and physical systems with emergent collective computational abilities.
• FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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