HOSAKA TADAAKI
Department Undergraduate School , School of Science and Technology Position Associate Professor |
|
Language | English |
Publication Date | 2002/12 |
Type | Academic Journal |
Peer Review | Peer reviewed |
Title | Statistical mechanics of lossy data compression using a nonmonotonic perceptron |
Contribution Type | Co-authored (first author) |
Journal | PHYSICAL REVIEW E |
Journal Type | Another Country |
Publisher | AMER PHYSICAL SOC |
Volume, Issue, Page | 66(6),pp.066126 |
Author and coauthor | T Hosaka,Y Kabashima,H Nishimori |
Details | The performance of a lossy data compression scheme for uniformly biased Boolean messages is investigated via methods of statistical mechanics. Inspired by a formal similarity to the storage capacity problem in neural network research, we utilize a perceptron of which the transfer function is appropriately designed in order to compress and decode the messages. Employing the replica method, we analytically show that our scheme can achieve the optimal performance known in the framework of lossy compression in most cases when the code length becomes infinite. The validity of the obtained results is numerically confirmed. |
DOI | 10.1103/PhysRevE.66.066126 |
ISSN | 1539-3755 |