@inproceedings{ac9a146416b942b3a8b3a8d50dd4c147,
title = "Dynamics and its stability of Boltzmann-machine learning algorithm for gray scale image restoration",
abstract = "Dynamic behavior and its stability of Boltzmann-machine learning algorithm for Bayesian gray scale image restoration are investigated. We derive the differential equations by which we attempt to maximize the marginal likelihood function with respect to hyper-parameters. Average-case performance and linear stability of the algorithm are evaluated exactly at the mean-field level. We conclude that the solution of the Boltzmann-machine learning equation is asymptotically stable as long as the solution is identical to the correct value of the hyper-parameters.",
author = "Inoue, {Jun Ichi} and Kazuyuki Tanaka",
note = "Publisher Copyright: {\textcopyright} 2004 American Institute of Physics.; 3rd International Symposium on Slow Dynamics in Complex Systems ; Conference date: 03-11-2003 Through 08-11-2003",
year = "2004",
month = apr,
day = "30",
doi = "10.1063/1.1764281",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
pages = "731--734",
editor = "Michio Tokuyama and Irwin Oppenheim",
booktitle = "Slow Dynamics in Complex Systems",
}