| Presentation | 2019-03-08 Typical performance of the L1 regularization regression from linear measurements with measurement noise and large coherence Minori Ihara, Kazunori Iwata, Kazushi Mimura, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We evaluate typical performance of compressed sensing in the case where iterative recovery algorithms fail to converge. The simple example in this case is where elements of measurement matrix obey probability distribution with non-zero mean. In this study, we especially focus on the case of measurement matrix has large coherence, and evaluate the mean square error (MSE) between an original signal to be estimated and its estimate by using the replica method.When coherence of measurement matrix is enough large, the performance depends only on signal density.And the MSE sometimes behaves non-monotonically as compression rate increases under the influence of measurement noise. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | replica method / compressed sensing / L1 regularization regression / coherence |
| Paper # | IT2018-117,ISEC2018-123,WBS2018-118 |
| Date of Issue | 2019-02-28 (IT, ISEC, WBS) |
| Conference Information | |
| Committee | IT / ISEC / WBS |
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| Conference Date | 2019/3/7(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | University of Electro-Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | joint meeting of IT, ISEC, and WBS |
| Chair | Jun Muramatsu(NTT) / Atsushi Fujioka(Kanagawa Univ.) / Minoru Okada(NAIST) |
| Vice Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Shiho Moriai(NICT) / Shoichi Hirose(Univ. of Fukui) / Koji Ohuchi(Shizuoka Univ.) / Kenichi Takizawa(NICT) |
| Secretary | Tadashi Wadayama(Nagano Pref Inst. of Tech.) / Shiho Moriai(UEC) / Shoichi Hirose(Tokai Univ.) / Koji Ohuchi(NICT) / Kenichi Takizawa(Ibaraki Univ.) |
| Assistant | Takahiro Yoshida(Yokohama College of Commerce) / Kazunari Omote(Tsukuba Univ.) / Yuuji Suga(IIJ) / Ryohei Nakamura(National Defense Academy) / Duong Quang Thang(NAIST) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Wideband System |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Typical performance of the L1 regularization regression from linear measurements with measurement noise and large coherence |
| Sub Title (in English) | |
| Keyword(1) | replica method |
| Keyword(2) | compressed sensing |
| Keyword(3) | L1 regularization regression |
| Keyword(4) | coherence |
| 1st Author's Name | Minori Ihara |
| 1st Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 2nd Author's Name | Kazunori Iwata |
| 2nd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 3rd Author's Name | Kazushi Mimura |
| 3rd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| Date | 2019-03-08 |
| Paper # | IT2018-117,ISEC2018-123,WBS2018-118 |
| Volume (vol) | vol.118 |
| Number (no) | IT-477,ISEC-478,WBS-479 |
| Page | pp.pp.257-262(IT), pp.257-262(ISEC), pp.257-262(WBS), |
| #Pages | 6 |
| Date of Issue | 2019-02-28 (IT, ISEC, WBS) |