The Nishimori line and Bayesian statistics

DOI10.1088/0305-4470/32/21/302zbMath0936.82014arXivcond-mat/9809190OpenAlexW3099052974MaRDI QIDQ3836163

Yukito Iba

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9809190

zbMATH Keywords

Bayesian statisticsgauge invarianceerror-correcting codesNishimori linestatistical information processingfinite-temperature decodingrandom frustrated systemssystems with quenched disorder

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Applications of statistics to physics (62P35) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (15)

Continuous symmetry breaking along the Nishimori line ⋮ Analyticity of the energy in an Ising spin glass with correlated disorder ⋮ The cavity method to protein design problem ⋮ Mean-field inference methods for neural networks ⋮ Hopfield model with planted patterns: a teacher-student self-supervised learning model ⋮ An introduction to machine learning: a perspective from statistical physics ⋮ Statistical mechanics of reputation systems in autonomous networks ⋮ Disentangling group and link persistence in dynamic stochastic block models ⋮ Fundamental limits of symmetric low-rank matrix estimation ⋮ Nishimori meets Bethe: a spectral method for node classification in sparse weighted graphs ⋮ The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference ⋮ Group synchronization on grids ⋮ Gallager error-correcting codes for binary asymmetric channels ⋮ Complex and non-complex phase structures in models of spin glasses and information processing ⋮ Prediction errors for penalized regressions based on generalized approximate message passing

This page was built for publication: The Nishimori line and Bayesian statistics