联合平滑矩阵多变量椭圆分布的稀疏表示算法
处理部分光照和遮挡等噪声的图像重构及分类问题因其极具挑战而备受关注,该问题的解决很大程度上取决于对误差的描述,常见的方法以向量形式存储误差矩阵且假定其服从于独立同分布,忽视了图像数据的内部结构信息.针对该问题,本文提出一种联合平滑矩阵多变量椭圆分布的稀疏表示算法(Sparse representation with smoothed matrix multivariate elliptical distribution,SMED).该算法强调误差矩阵中各个像素间的依赖性并假定误差矩阵作为一个随机矩阵变量服从于矩阵多变量椭圆分布;之后,引入辅助变量光滑目标函数,使得模型易于获得全局最优解;最后,...
Saved in:
| Published in | 自动化学报 Vol. 45; no. 8; pp. 1548 - 1563 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
浙江万里学院大数据与软件工程学院 宁波315100%浙江工业大学计算机科学与技术学院 杭州310023
01.08.2019
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0254-4156 |
| DOI | 10.16383/j.aas.2018.c170350 |
Cover
| Abstract | 处理部分光照和遮挡等噪声的图像重构及分类问题因其极具挑战而备受关注,该问题的解决很大程度上取决于对误差的描述,常见的方法以向量形式存储误差矩阵且假定其服从于独立同分布,忽视了图像数据的内部结构信息.针对该问题,本文提出一种联合平滑矩阵多变量椭圆分布的稀疏表示算法(Sparse representation with smoothed matrix multivariate elliptical distribution,SMED).该算法强调误差矩阵中各个像素间的依赖性并假定误差矩阵作为一个随机矩阵变量服从于矩阵多变量椭圆分布;之后,引入辅助变量光滑目标函数,使得模型易于获得全局最优解;最后,采用迭代加权最小二乘法优化求解模型.此外,文中对SMED算法的收敛性和复杂度进行了理论分析,并讨论了模型的参数敏感性.在AR、ExYaleB和PubFig三个公开数据集中的实验验证了所提算法具有鲁棒的鉴别力,且其综合性能明显优于经典算法. |
|---|---|
| AbstractList | 处理部分光照和遮挡等噪声的图像重构及分类问题因其极具挑战而备受关注,该问题的解决很大程度上取决于对误差的描述,常见的方法以向量形式存储误差矩阵且假定其服从于独立同分布,忽视了图像数据的内部结构信息.针对该问题,本文提出一种联合平滑矩阵多变量椭圆分布的稀疏表示算法(Sparse representation with smoothed matrix multivariate elliptical distribution,SMED).该算法强调误差矩阵中各个像素间的依赖性并假定误差矩阵作为一个随机矩阵变量服从于矩阵多变量椭圆分布;之后,引入辅助变量光滑目标函数,使得模型易于获得全局最优解;最后,采用迭代加权最小二乘法优化求解模型.此外,文中对SMED算法的收敛性和复杂度进行了理论分析,并讨论了模型的参数敏感性.在AR、ExYaleB和PubFig三个公开数据集中的实验验证了所提算法具有鲁棒的鉴别力,且其综合性能明显优于经典算法. |
| Author | 王万良 郑建炜 邱虹 |
| AuthorAffiliation | 浙江万里学院大数据与软件工程学院 宁波315100%浙江工业大学计算机科学与技术学院 杭州310023 |
| AuthorAffiliation_xml | – name: 浙江万里学院大数据与软件工程学院 宁波315100%浙江工业大学计算机科学与技术学院 杭州310023 |
| Author_FL | QIU Hong ZHENG Jian-Wei WANG Wan-Liang |
| Author_FL_xml | – sequence: 1 fullname: QIU Hong – sequence: 2 fullname: WANG Wan-Liang – sequence: 3 fullname: ZHENG Jian-Wei |
| Author_xml | – sequence: 1 fullname: 邱虹 – sequence: 2 fullname: 王万良 – sequence: 3 fullname: 郑建炜 |
| BookMark | eNotjz1Lw0AYgG-oYK39Be5uie97l0su4CLFLyi4dC93yUUtkoJBFCdFqd1awY9SBBEy1EGXIvjxey7X_gsDOj3b8_AskUraTTUhKwgu-kywtY4rZeZSQOFGGADjUCFVoNxzPOT-Iqln2aECQAQaIlbJ-uzyzgz75mta_Nza59f56MPkYzMYzW8GRf5mnnqm3zOfV3Z8bScX9mEwe5nY_Nu-PxbT-2WykMijTNf_WSOtrc1WY8dp7m3vNjaaToaA1KHCV5GvJWhUDDhSJWJNpQRfRNyLJI-Z0piI0IuUisKYgpIy5EmgOQRasBpZ_dOeyjSR6X670z05Tstg-zw-OFPlbAiiDLFfy4RhIA |
| ContentType | Journal Article |
| Copyright | Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.16383/j.aas.2018.c170350 |
| DatabaseName | Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| DocumentTitle_FL | Sparse Representation With Smoothed Matrix Multivariate Elliptical Distribution |
| EndPage | 1563 |
| ExternalDocumentID | zdhxb201908012 |
| GrantInformation_xml | – fundername: 国家自然科学基金; 浙江省自然科学基金; 浙江省科技计划项目; 浙江省教育厅一般项目; 宁波市软科学项目 funderid: (61873240,61602413); (LY19F030016,LY17F020001); (2016C31084,LGF19F020008); (Y201840695); (2018A10024) |
| GroupedDBID | --K -0Y .~1 0R~ 1B1 1~. 1~5 2B. 4.4 457 4A8 4G. 5GY 5VS 5XA 5XJ 7-5 71M 8P~ 92H 92I 93N AAIKJ AALRI AAQFI AAXUO ABJNI ABWVN ACGFS ACRPL ADEZE ADNMO ADTZH AECPX AEKER AFTJW AGHFR AGYEJ AITUG ALMA_UNASSIGNED_HOLDINGS BLXMC CCEZO CS3 CUBFJ CW9 EBS EJD EO8 EO9 EP2 EP3 FDB FEDTE FNPLU GBLVA HVGLF HZ~ IHE J1W JJJVA M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PSX Q38 ROL RPZ SDF SDG SES TCJ TGT U1G U5S |
| ID | FETCH-LOGICAL-s1012-286bc6ea0e1b30512b8de2aa068c54ca5d3be1f894cbbc9d20baa95f7e507e83 |
| ISSN | 0254-4156 |
| IngestDate | Thu May 29 04:10:30 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 8 |
| Keywords | 矩阵多变量椭圆分布 稀疏表示 人脸重构和识别 迭代加权最小二乘法 |
| Language | Chinese |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-s1012-286bc6ea0e1b30512b8de2aa068c54ca5d3be1f894cbbc9d20baa95f7e507e83 |
| PageCount | 16 |
| ParticipantIDs | wanfang_journals_zdhxb201908012 |
| PublicationCentury | 2000 |
| PublicationDate | 2019-08-01 |
| PublicationDateYYYYMMDD | 2019-08-01 |
| PublicationDate_xml | – month: 08 year: 2019 text: 2019-08-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | 自动化学报 |
| PublicationTitle_FL | Acta Automatica Sinica |
| PublicationYear | 2019 |
| Publisher | 浙江万里学院大数据与软件工程学院 宁波315100%浙江工业大学计算机科学与技术学院 杭州310023 |
| Publisher_xml | – name: 浙江万里学院大数据与软件工程学院 宁波315100%浙江工业大学计算机科学与技术学院 杭州310023 |
| SSID | ssib001102911 ssib006576350 ssib051375349 ssib007293330 ssj0059721 ssib007290157 ssib023646446 ssib005904210 |
| Score | 2.2955518 |
| Snippet | 处理部分光照和遮挡等噪声的图像重构及分类问题因其极具挑战而备受关注,该问题的解决很大程度上取决于对误差的描述,常见的方法以向量形式存储误差矩阵且假定其服从于独立... |
| SourceID | wanfang |
| SourceType | Aggregation Database |
| StartPage | 1548 |
| Title | 联合平滑矩阵多变量椭圆分布的稀疏表示算法 |
| URI | https://d.wanfangdata.com.cn/periodical/zdhxb201908012 |
| Volume | 45 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) issn: 0254-4156 databaseCode: GBLVA dateStart: 20110101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0059721 providerName: Elsevier |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9QwEI7K9gIHxFO86QFLSCglTuLElrg4u1kqBJwK6q2yk2x7WiTaSqgnEKj0VpB4VBUSQuqhHOBSIfH4Pem2_4IZx92k6ko8LquJ7Rl_nvF6xo7tOM41Bf3Ejxl1Cz_ibljEvisYy91cxZr3ikDpDBf0792Pph6Ed2bYzFjremPX0tKinsyWR54r-R-rQhrYFU_J_oNlh0IhAWiwL_yCheH3r2xMUg6RIBEhSRkRHuEciUSQJCBpRJKECErSmIgukYKkgghOEoZlZEiERIJ3MRGyeIw0cEGW7BiBbcIjU4ZbIgEiMAIl4SESkuNWCUyJDDsnkmIiZoUkkYZIiYgNnoBUn7rcj4YNfihQIZGGEYg2SkOQHSIjZMQstt81DFifJBS5BbRV1DnQhpTwhKShwRqbCgSR3QPMgVELQ_1UCEGcaDfXP_DIFW-ufxj4DKtDgqJG6zoq5bUbkAWWlL7VtDStF1ChZ1rTQZVY9hQhJpBSCQRElaZBK2xfwclhyTdMUorWrxQrIYKGgc8jPhuFdSjR1FqZ3iIbiuYoUNIDJoM-YI0YW6XZwkP0xjrcs4VldyRWyOvYXgU4RIrve6oD4NYJ-Sx0cZLf9JjVBaB2ZOAN94fz30YoBWzBSDcNg35g_LRSeGU-5ZMZjfEddx2VDPeKLufzTzQa3sNg6ogz7oP_9lrO-O3k7kNZh_4QKYuGr2IC3FEjtI0YXr1YP8e4gaDxxh-eg6CeSuN3FaLGUgmjAUzscamiivIY3npl1m-tfuyNZtiym4fbZY4E9nuqP9eIXqdPOMfttHNCVmPISWdsef6Uc6xxGelp59buszflq9Xyx_bOr9eDj5_31r-Vmxvl2vrey7WdzS_lh5VydaX8_nyw8WKw9XTwbm3309Zg8-fg6_ud7bdnnOluOt2ecu23VdwFvNHP9Xmks6hQXkE1uHzqa54XvlJexDMWZorlgS5oj4sw0zoTue9ppQTrxQVMIAsenHVa_Uf94pwzEWvFuMqYp6jG7SUqFzFnca69Qvm0oOedq7bps3boXJg9aNMLfyxx0Tla__UvOa3Fx0vFZZgMLOorth_8Bg0mvR0 |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=%E8%81%94%E5%90%88%E5%B9%B3%E6%BB%91%E7%9F%A9%E9%98%B5%E5%A4%9A%E5%8F%98%E9%87%8F%E6%A4%AD%E5%9C%86%E5%88%86%E5%B8%83%E7%9A%84%E7%A8%80%E7%96%8F%E8%A1%A8%E7%A4%BA%E7%AE%97%E6%B3%95&rft.jtitle=%E8%87%AA%E5%8A%A8%E5%8C%96%E5%AD%A6%E6%8A%A5&rft.au=%E9%82%B1%E8%99%B9&rft.au=%E7%8E%8B%E4%B8%87%E8%89%AF&rft.au=%E9%83%91%E5%BB%BA%E7%82%9C&rft.date=2019-08-01&rft.pub=%E6%B5%99%E6%B1%9F%E4%B8%87%E9%87%8C%E5%AD%A6%E9%99%A2%E5%A4%A7%E6%95%B0%E6%8D%AE%E4%B8%8E%E8%BD%AF%E4%BB%B6%E5%B7%A5%E7%A8%8B%E5%AD%A6%E9%99%A2+%E5%AE%81%E6%B3%A2315100%25%E6%B5%99%E6%B1%9F%E5%B7%A5%E4%B8%9A%E5%A4%A7%E5%AD%A6%E8%AE%A1%E7%AE%97%E6%9C%BA%E7%A7%91%E5%AD%A6%E4%B8%8E%E6%8A%80%E6%9C%AF%E5%AD%A6%E9%99%A2+%E6%9D%AD%E5%B7%9E310023&rft.issn=0254-4156&rft.volume=45&rft.issue=8&rft.spage=1548&rft.epage=1563&rft_id=info:doi/10.16383%2Fj.aas.2018.c170350&rft.externalDocID=zdhxb201908012 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fzdhxb%2Fzdhxb.jpg |