| Presentation | 1998/3/19 Error Correcting Codes by Very Sparse Networks Yoshiyuki Kabashima, David Saad, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this work, we investigate the performance of a new family of error correcting codes by using statistical mechanics. In our codes, the code word comprises products of K bits randomly selected from original message and decoding is carried out by utilizing a very sparce tensor with C fixed connections per index. We show that its performance saturates to well-know Shannon's bound for the channel capacity in the limit K, C→∞ with the code rate R = K/C finite. We also assess the usage of i) simulated annealing, ii) dynamics of associative memory and iii) TAP equation for the purpose of practical decoding algorithms. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Information Theory / Statistical Mechanics / Dilute Spin Glass Models / TAP equations |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1998/3/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Error Correcting Codes by Very Sparse Networks |
| Sub Title (in English) | |
| Keyword(1) | Information Theory |
| Keyword(2) | Statistical Mechanics |
| Keyword(3) | Dilute Spin Glass Models |
| Keyword(4) | TAP equations |
| 1st Author's Name | Yoshiyuki Kabashima |
| 1st Author's Affiliation | Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology() |
| 2nd Author's Name | David Saad |
| 2nd Author's Affiliation | Neural Computing Research Group, Aston University, UK |
| Date | 1998/3/19 |
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| Volume (vol) | vol.97 |
| Number (no) | 623 |
| Page | pp.pp.- |
| #Pages | 8 |
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