Application of the quantum spin glass theory to image restoration
arXiv:cond-mat/0006391 · doi:10.1103/PhysRevE.63.046114
Abstract
Quantum fluctuation is introduced into the Markov random fields (MRF's) model for image restoration in the context of Bayesian approach. We investigate the dependence of the quantum fluctuation on the quality of BW image restoration by making use of statistical mechanics. We find that the maximum posterior marginal (MPM) estimate based on the quantum fluctuation gives a fine restoration in comparison with the maximum a posterior (MAP) estimate or the thermal fluctuation based MPM estimate.
19 pages, 9 figures, 1 table, RevTeX
References in corpus (2)
Cited by in corpus (9)
- Mean field analysis of reverse annealing for code-division multiple-access multiuser detection
- Dynamics of the maximum marginal likelihood hyper-parameter estimation in image restoration : gradient descent vs. EM algorithm
- On the correspondence between thermodynamics and inference
- Statistical Mechanics of the Bayesian Image Restoration under Spatially Correlated Noise
- Gibbs Markov Random Fields with Continuous Values based on the Modified Planar Rotator Model
- Infinite-range transverse field Ising models and quantum computation
- Deterministic flows of order-parameters in stochastic processes of quantum Monte Carlo method
- Spatial data modeling by means of Gibbs Markov random fields based on a generalized planar rotator model
- Non-classical Role of Potential Energy in Adiabatic Quantum Annealing