| Presentation | 2020-03-10 EM Algorithm for Mixture Models in Shape Analysis Kazunori Iwata, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The mixture model is a well-known probabilistic model in statistical modeling to express a population that is composed of subpopulations. The EM algorithm plays a vital role in the estimation for the set of parameters in the mixture model. Procrustes analysis is a type of shape analysis that is not affected by several of the similarity transformations to shapes. In Procrustes analysis, the ordinary Procrustes sum of squares can be used to measure the distance between shapes. Thus, in this paper, our aim is to present a novel shape clustering method as a type of Procrustes analysis by incorporating it into an individual component of the mixture model and by deriving an EM algorithm for the model. Through several experiments using datasets of line drawings and image outlines, we demonstrate that our shape clustering works well compared with that based on a typical vector-based distance measure that is affected by similarity transformations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Shape clustering / Procrustes analysis / EM algorithm |
| Paper # | IBISML2019-33 |
| Date of Issue | 2020-03-03 (IBISML) |
| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2020/3/10(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Machine learning, etc. |
| Chair | Hisashi Kashima(Kyoto Univ.) |
| Vice Chair | Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo) |
| Secretary | Masashi Sugiyama(Nagoya Inst. of Tech.) / Koji Tsuda(AIST) |
| Assistant | Tomoharu Iwata(NTT) / Shigeyuki Oba(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Infomation-Based Induction Sciences and Machine Learning |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | EM Algorithm for Mixture Models in Shape Analysis |
| Sub Title (in English) | |
| Keyword(1) | Shape clustering |
| Keyword(2) | Procrustes analysis |
| Keyword(3) | EM algorithm |
| 1st Author's Name | Kazunori Iwata |
| 1st Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| Date | 2020-03-10 |
| Paper # | IBISML2019-33 |
| Volume (vol) | vol.119 |
| Number (no) | IBISML-476 |
| Page | pp.pp.1-7(IBISML), |
| #Pages | 7 |
| Date of Issue | 2020-03-03 (IBISML) |