One step RSB scheme for the rate distortion function
无序系统与神经网络
2009-11-07 v8
摘要
We apply statistical mechanics to an inverse problem of linear mapping to investigate the physics of the irreversible compression. We use the replica symmetry breaking (RSB) technique with a toy model to demonstrate the Shannon's result. The rate distortion function, which is widely known as the theoretical limit of the compression with a fidelity criterion, is derived using the Parisi one step RSB scheme. The bound can not be achieved in the sparsely-connected systems, where suboptimal solutions dominate the capacity.
引用
@article{arxiv.cond-mat/0207637,
title = {One step RSB scheme for the rate distortion function},
author = {Tatsuto Murayama and Masato Okada},
journal= {arXiv preprint arXiv:cond-mat/0207637},
year = {2009}
}
备注
8 pages, 2 figures