| Presentation | 2003/7/22 Statistical mechanics approach to error exponents for lossy data compression Tadaaki HOSAKA, Yoshiyuki KABASHIMA, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Data compression is classified to two categories : lossless and lossy compression. Our preceding research provided a scheme for lossy data compression for uniformly biased Boolean messages based on perceptron. Statistical mechanics analysis showed that when the code length is infinite, the performance of this scheme can achieve the rate-distortion function, which is the theoretical limit of the performance for lossy data compression. However, in the view point of real world, it is important to evaluate the performance in finite code length. In this research, we derive the expression of error exponents which is one of guides for the performance in finite code length, employing the replica method. We also describe a construction scheme of the optimal code, which is examined by numerical experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | lossy data compression / error exponent / perceptron / statistical mechanics |
| Paper # | NC2003-39 |
| Date of Issue |
| Conference Information | |
| Committee | NC |
|---|---|
| Conference Date | 2003/7/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Neurocomputing (NC) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical mechanics approach to error exponents for lossy data compression |
| Sub Title (in English) | |
| Keyword(1) | lossy data compression |
| Keyword(2) | error exponent |
| Keyword(3) | perceptron |
| Keyword(4) | statistical mechanics |
| 1st Author's Name | Tadaaki HOSAKA |
| 1st Author's Affiliation | Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology() |
| 2nd Author's Name | Yoshiyuki KABASHIMA |
| 2nd Author's Affiliation | Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology |
| Date | 2003/7/22 |
| Paper # | NC2003-39 |
| Volume (vol) | vol.103 |
| Number (no) | 228 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |