| Presentation | 2017-06-20 Matrix Completion Algorithm based on Locally Linear Embedding and its Application to Signal Restoration of Nonlinear Systems Ryohei Sasaki, Katsumi Konishi, Tomohiro Takahashi, Toshihiro Furukawa, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we deal with matrix completion problem of non-low rank matrix. In the problem of recovering the output signals from linear systems, it is known that the signal can be repaired with high accuracy by minimizing the rank of the Hankel matrix of input and output signals. However, we cannot generally assume that the matrix from nonlinear systems is a low rank matrix. Therefore, we propose a method combining local linear embedding which is a manifold learning method and matrix rank minimization for this problem. Numerical experiments show the effectiveness of the proposed method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | matrix completion / locally linear embedding / matrix rank minimization / nonlinear systems |
| Paper # | CAS2017-18,VLD2017-21,SIP2017-42,MSS2017-18 |
| Date of Issue | 2017-06-12 (CAS, VLD, SIP, MSS) |
| Conference Information | |
| Committee | SIP / CAS / MSS / VLD |
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| Conference Date | 2017/6/19(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Niigata University, Ikarashi Campus |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Masahiro Okuda(Univ. of Kitakyushu) / Mitsuru Hiraki(Renesas) / Morikazu Nakamura(Univ. of Ryukyus) / Hiroyuki Ochi(Ritsumeikan Univ.) |
| Vice Chair | Shogo Muramatsu(Niigata Univ.) / Naoyuki Aikawa(TUS) / Hideaki Okazaki(Shonan Inst. of Tech.) / Shigemasa Takai(Osaka Univ.) / Noriyuki Minegishi(Mitsubishi Electric) |
| Secretary | Shogo Muramatsu(Chiba Inst. of Tech.) / Naoyuki Aikawa(Takushoku Univ.) / Hideaki Okazaki(Renesas) / Shigemasa Takai(Shonan Inst. of Tech.) / Noriyuki Minegishi(Toshiba) |
| Assistant | Masayoshi Nakamoto(Hiroshima Univ.ひろ) / Yohei Nakamura(Hitachi) / Hideki Kinjo(Okinawa Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Signal Processing / Technical Committee on Circuits and Systems / Technical Committee on Mathematical Systems Science and its applications / Technical Committee on VLSI Design Technologies |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Matrix Completion Algorithm based on Locally Linear Embedding and its Application to Signal Restoration of Nonlinear Systems |
| Sub Title (in English) | |
| Keyword(1) | matrix completion |
| Keyword(2) | locally linear embedding |
| Keyword(3) | matrix rank minimization |
| Keyword(4) | nonlinear systems |
| 1st Author's Name | Ryohei Sasaki |
| 1st Author's Affiliation | Tokyo University of Science(TUS) |
| 2nd Author's Name | Katsumi Konishi |
| 2nd Author's Affiliation | Kogakuin University(Kogakuin Univ.) |
| 3rd Author's Name | Tomohiro Takahashi |
| 3rd Author's Affiliation | Tokyo University of Science(TUS) |
| 4th Author's Name | Toshihiro Furukawa |
| 4th Author's Affiliation | Tokyo University of Science(TUS) |
| Date | 2017-06-20 |
| Paper # | CAS2017-18,VLD2017-21,SIP2017-42,MSS2017-18 |
| Volume (vol) | vol.117 |
| Number (no) | CAS-96,VLD-97,SIP-98,MSS-99 |
| Page | pp.pp.93-97(CAS), pp.93-97(VLD), pp.93-97(SIP), pp.93-97(MSS), |
| #Pages | 5 |
| Date of Issue | 2017-06-12 (CAS, VLD, SIP, MSS) |