| Presentation | 2006-07-14 Statistical Analysis of Hyperparameter Estimation in Probabilistic Image Processing Hikaru KURASAWA, Kazuyuki TANAKA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We investigate dynamics of hyperparameter estimations in probabilistic image restorations by using EM Algorithm for Markov process in the infinite range model. Probabilistic image restorations are formulated by using the Bayes formula when the prior probability is assumed to be the infinite range model and the degradation process is set to be the Gaussian channel. The dynamics are analyzed statistically by means of the generating functional method for path integral representation in Markov process. The results are compared with the ones obtained by using the replica method for the formulation of the master equation which corresponds to the case of non-synchronized update algorithms. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Image Processing / Markov Random Fields / Statistical Method / Dynamics / Statistical Mechanics / Path Integral Representation / Generating Functional Analysis / Hyperparameter Estimation / EM Algorithm |
| Paper # | NC2006-39 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2006/7/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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) | Statistical Analysis of Hyperparameter Estimation in Probabilistic Image Processing |
| Sub Title (in English) | |
| Keyword(1) | Image Processing |
| Keyword(2) | Markov Random Fields |
| Keyword(3) | Statistical Method |
| Keyword(4) | Dynamics |
| Keyword(5) | Statistical Mechanics |
| Keyword(6) | Path Integral Representation |
| Keyword(7) | Generating Functional Analysis |
| Keyword(8) | Hyperparameter Estimation |
| Keyword(9) | EM Algorithm |
| 1st Author's Name | Hikaru KURASAWA |
| 1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Kazuyuki TANAKA |
| 2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| Date | 2006-07-14 |
| Paper # | NC2006-39 |
| Volume (vol) | vol.106 |
| Number (no) | 163 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |