| Presentation | 2020-05-14 On Effective Dimensions, Riemann Metric Tensor Estimation and Dimension Reduction of Facial Expression Space Masashi Shinto, Jinhui Chao, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper we first present definitions of effective dimensions for Riemann manifolds and psychophysical spaces. Then we proposed algorithms for estimating the high dimensional Riemann metric tensor and dimension reduction in low dimensional subspaces. These algorithms are applied to the facial expressions space which is a psychophysical space or a Riemann space where the metric tensor is defined by the JND(Just-Noticeable-Difference) discrimination thresholds at every point in the space. Up to now the effective dimension of this space is considered to be very high. We obtain the Riemann metric tensor of the high dimensional facial expression space from the psychophysical measurements of JND data and then determine the upper and lower bounds of the effective dimension of the facial expression space. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Riemann geometry / Riemann metric tensor / Dimension reduction / Facial expression perception |
| Paper # | HCS2020-2,HIP2020-2 |
| Date of Issue | 2020-05-07 (HCS, HIP) |
| Conference Information | |
| Committee | HIP / HCS / HI-SIGCE |
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| Conference Date | 2020/5/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Communication Enhancing, Human Communications, and Human Information Processing |
| Chair | Miyuki Kamachi(Kogakuin Univ.) / Masafumi Matsuda(NTT) |
| Vice Chair | Shuichi Sakamoto(Tohoku Univ.) / Yuji Wada(Ritsumeikan Univ.) / Tomoo Inoue(Univ. of Tsukuba) / Yugo Hayashi(Ritsumeikan Univ.) |
| Secretary | Shuichi Sakamoto(NICT) / Yuji Wada(NTT) / Tomoo Inoue(Nagoya Univ.) / Yugo Hayashi(Kanazawa Inst. of Tech.) / (Osaka Electro-Comm. Univ.) |
| Assistant | Atsushi Wada(NICT) / Hidetoshi Kanaya(Ritsumeikan Univ.) / Yuki Yamada(Kyushu Univ.) / Tomoko Kanda(Osaka Inst. of Tech.) / Kazuki Takashima(Tohoku Univ.) / Ken Fujiwara(Osaka Univ. of Economic) / Kazunori Terada(Gifu Univ.) / Atsushi Kimura(Nihon Univ.) / HUANG HUNGHSUAN(Riken) |
| Paper Information | |
| Registration To | Technical Committee on Human Information Processing / Technical Committee on Human Communication Science / Special Interest Group on Communication Enhancement |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Effective Dimensions, Riemann Metric Tensor Estimation and Dimension Reduction of Facial Expression Space |
| Sub Title (in English) | |
| Keyword(1) | Riemann geometry |
| Keyword(2) | Riemann metric tensor |
| Keyword(3) | Dimension reduction |
| Keyword(4) | Facial expression perception |
| 1st Author's Name | Masashi Shinto |
| 1st Author's Affiliation | Chuo University(Chuo Univ.) |
| 2nd Author's Name | Jinhui Chao |
| 2nd Author's Affiliation | Chuo University(Chuo Univ.) |
| Date | 2020-05-14 |
| Paper # | HCS2020-2,HIP2020-2 |
| Volume (vol) | vol.120 |
| Number (no) | HCS-16,HIP-17 |
| Page | pp.pp.7-12(HCS), pp.7-12(HIP), |
| #Pages | 6 |
| Date of Issue | 2020-05-07 (HCS, HIP) |