| Presentation | 2015-05-15 Second-Order Tensor Principal Component Analysis Meets Two-Dimensional Singular Value Decomposition Hayato Itoh, Atsushi Imiya, Tomoya Sakai, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We show that the second-order tensor principal component analysis is theoretically equivalent to the two-dimensional singular value decomposition. For the practical computation of the two-dimensional singular value decomposition, we introduce the marginal eigenvector method. Furthermore, we show the relation among the two-dimensional singular value decomposition, the classical principal component analysis and the two-dimensional discrete cosine transform. For the comparison of performances of the marginal eigenvector and the two-dimensional discretecosine transform for dimension reduction, we compute recognition rates for face images. In this comparison, the marginal eigenvector method and the two-dimensional discrete cosine transform establish almost same performances to recognition rates. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | tensor principal component analysis / principal component analysis / singular value decomposition / marginal eigenvector / two-dimensional discrete cosine transform |
| Paper # | SIP2015-14,IE2015-14,PRMU2015-14,MI2015-14 |
| Date of Issue | 2015-05-07 (SIP, IE, PRMU, MI) |
| Conference Information | |
| Committee | PRMU / MI / IE / SIP |
|---|---|
| Conference Date | 2015/5/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Kazuhiko Sumi(Aoyama Gakuin Univ.) / Akinobu Shimizu(Tokyo Univ. of Agric. and Tech.) / Toshiaki Fujii(Nagoya Univ.) / Yoshinobu Kajikawa(Kansai Univ.) |
| Vice Chair | Koichi Kise(Osaka Pref. Univ.) / Shuji Senda(NEC) / Yoshitaka Masutani(Hiroshima City Univ.) / Kensaku Mori(Nagoya Univ.) / Seishi Takamura(NTT) / Takayuki Hamamoto(Tokyo Univ. of Science) / Osamu Houshuyama(NEC) / Makoto Nakashizuka(Chiba Inst. of Tech.) |
| Secretary | Koichi Kise(Kyushu Univ.) / Shuji Senda(Omron) / Yoshitaka Masutani(Tokushima Univ.) / Kensaku Mori(Kinki Univ.) / Seishi Takamura(NHK) / Takayuki Hamamoto(KDDI R&D Labs.) / Osamu Houshuyama(Ritsumeikan Univ.) / Makoto Nakashizuka(NEC) |
| Assistant | Wataru Ohyama(Mie Univ.) / Mitsuru Anbai(DENSO IT Lab.) / Takayuki Kitasaka(Aichi Inst. of Tech.) / Hidetaka Hontani(Nagoya Inst. of Tech.) / Shohei Matsuo(NTT) / Takamichi Miyata(Chiba Inst. of Tech.) / Takamichi Miyata(Chiba Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Pattern Recognition and Media Understanding / Technical Committee on Medical Imaging / Technical Committee on Image Engineering / Technical Committee on Signal Processing |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Second-Order Tensor Principal Component Analysis Meets Two-Dimensional Singular Value Decomposition |
| Sub Title (in English) | |
| Keyword(1) | tensor principal component analysis |
| Keyword(2) | principal component analysis |
| Keyword(3) | singular value decomposition |
| Keyword(4) | marginal eigenvector |
| Keyword(5) | two-dimensional discrete cosine transform |
| 1st Author's Name | Hayato Itoh |
| 1st Author's Affiliation | Chiba University(Chiba Univ.) |
| 2nd Author's Name | Atsushi Imiya |
| 2nd Author's Affiliation | Chiba University(Chiba Univ.) |
| 3rd Author's Name | Tomoya Sakai |
| 3rd Author's Affiliation | Chiba University(Chiba Univ.) |
| Date | 2015-05-15 |
| Paper # | SIP2015-14,IE2015-14,PRMU2015-14,MI2015-14 |
| Volume (vol) | vol.115 |
| Number (no) | SIP-22,IE-23,PRMU-24,MI-25 |
| Page | pp.pp.71-75(SIP), pp.71-75(IE), pp.71-75(PRMU), pp.71-75(MI), |
| #Pages | 5 |
| Date of Issue | 2015-05-07 (SIP, IE, PRMU, MI) |