A Two-Layer Distributed Algorithm Using Neurodynamic System for Solving L 1 -Minimization
This brief considers a distributed algorithm for solving [Formula Omitted]-minimization problem based on nonlinear neurodynamic system. Compared with centralized algorithms, distributed algorithms have great potential in data privacy protection, distributed storage and processing of data. In this br...
Gespeichert in:
| Veröffentlicht in: | IEEE transactions on circuits and systems. II, Express briefs Jg. 69; H. 8; S. 3490 - 3494 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New York
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
01.08.2022
|
| Schlagworte: | |
| ISSN: | 1549-7747, 1558-3791 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | This brief considers a distributed algorithm for solving [Formula Omitted]-minimization problem based on nonlinear neurodynamic system. Compared with centralized algorithms, distributed algorithms have great potential in data privacy protection, distributed storage and processing of data. In this brief, [Formula Omitted]-minimization problem is transformed into a distributed problem by using multiagent consensus theory. For the distributed optimization problem, a two-layer distributed algorithm is designed by utilizing neurodynamic system, projection matrix and derivative feedback technique. Compared with the existing distributed neurodynamic algorithm, the proposed algorithm has a simpler structure and has fewer neurons on the premise that the calculation error does not increase. Besides, the proposed algorithm converges to a minimal point of [Formula Omitted]-minimization problem and is Lyapunov stable. Finally, the comparative examples of sparse signal reconstruction show that the proposed distributed algorithm is effective and superior. |
|---|---|
| AbstractList | This brief considers a distributed algorithm for solving [Formula Omitted]-minimization problem based on nonlinear neurodynamic system. Compared with centralized algorithms, distributed algorithms have great potential in data privacy protection, distributed storage and processing of data. In this brief, [Formula Omitted]-minimization problem is transformed into a distributed problem by using multiagent consensus theory. For the distributed optimization problem, a two-layer distributed algorithm is designed by utilizing neurodynamic system, projection matrix and derivative feedback technique. Compared with the existing distributed neurodynamic algorithm, the proposed algorithm has a simpler structure and has fewer neurons on the premise that the calculation error does not increase. Besides, the proposed algorithm converges to a minimal point of [Formula Omitted]-minimization problem and is Lyapunov stable. Finally, the comparative examples of sparse signal reconstruction show that the proposed distributed algorithm is effective and superior. |
| Author | He, Xing Xu, Junpeng Han, Xin Wen, Hongsong |
| Author_xml | – sequence: 1 givenname: Junpeng surname: Xu fullname: Xu, Junpeng organization: Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China – sequence: 2 givenname: Xing orcidid: 0000-0001-8652-8479 surname: He fullname: He, Xing organization: Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China – sequence: 3 givenname: Xin surname: Han fullname: Han, Xin organization: Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China – sequence: 4 givenname: Hongsong surname: Wen fullname: Wen, Hongsong organization: Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, China |
| BookMark | eNp9kD1PwzAQhi0EEm3hDzBZYk7xRxwnY1W-KgUY2g5MluM6xVUSF9sBhV9P0nZiYLqT7n3v3nvG4LyxjQbgBqMpxii7W82Xi8WUIEKmFLMsxfEZGGHG0ojyDJ8PfZxFnMf8Eoy93yFEMkTJCLzP4OrbRrnstIP3xgdnijboDZxVW-tM-Kjh2ptmC1916-yma2RtFFx2PugaltbBpa2-hnkOMYxeTGNq8yODsc0VuChl5fX1qU7A-vFhNX-O8renxXyWRwoTRCPF-hxaqySRso9Xcsw0ogXPpE5VIpHinKYFKkhSFv0YcRmjmDJKsU4Y26R0Am6Pe_fOfrbaB7GzrWv6k4IkWUIYSzjtVeSoUs5673Qp9s7U0nUCIzEgFAeEYkAoTgh7U_rHpEw4PBecNNV_1l8zCncR |
| CitedBy_id | crossref_primary_10_1007_s00521_023_09015_9 crossref_primary_10_1109_TCSII_2023_3291728 |
| Cites_doi | 10.1109/TNNLS.2019.2920880 10.1109/TCSII.2021.3128416 10.1109/TIT.2005.858979 10.1002/cpa.20132 10.1109/TCYB.2019.2895885 10.1109/TNNLS.2021.3085314 10.1109/TNNLS.2021.3088535 10.1109/TCSII.2021.3132392 10.1515/9781400831470 10.1007/s00034-020-01445-3 10.1017/cbo9781107282094 10.1016/j.acha.2009.04.002 10.1109/TNNLS.2019.2917137 10.1109/TNNLS.2015.2481006 10.1109/TNNLS.2011.2181867 10.1137/S003614450037906X 10.1109/TIT.2007.909108 10.1137/S0097539792240406 10.1109/TIT.2006.871582 10.1109/TCSII.2019.2930648 10.1109/TFUZZ.2020.3009730 10.1109/TNNLS.2019.2944388 10.1109/TCSII.2020.3009291 |
| ContentType | Journal Article |
| Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022 |
| Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022 |
| DBID | AAYXX CITATION 7SP 8FD L7M |
| DOI | 10.1109/TCSII.2022.3159814 |
| DatabaseName | CrossRef Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace |
| DatabaseTitle | CrossRef Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts |
| DatabaseTitleList | Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1558-3791 |
| EndPage | 3494 |
| ExternalDocumentID | 10_1109_TCSII_2022_3159814 |
| GroupedDBID | 0R~ 29I 4.4 5VS 6IK 6J9 97E AAJGR AASAJ AAWTH AAYXX ABQJQ ABVLG ACIWK AETIX AGQYO AGSQL AHBIQ AIBXA AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CITATION EBS EJD IFIPE IPLJI JAVBF M43 OCL PZZ RIA RIE RNS RXW TAE TAF VJK 7SP 8FD ABAZT L7M |
| ID | FETCH-LOGICAL-c1203-c5032eec66aa747f715e03b79ae8c6a0c7738b0b26fb47f07a40435331e655d83 |
| ISSN | 1549-7747 |
| IngestDate | Wed Oct 29 02:28:46 EDT 2025 Sat Nov 29 02:23:19 EST 2025 Tue Nov 18 20:59:39 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 8 |
| Language | English |
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c1203-c5032eec66aa747f715e03b79ae8c6a0c7738b0b26fb47f07a40435331e655d83 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-8652-8479 |
| PQID | 2696255673 |
| PQPubID | 85412 |
| PageCount | 5 |
| ParticipantIDs | proquest_journals_2696255673 crossref_primary_10_1109_TCSII_2022_3159814 crossref_citationtrail_10_1109_TCSII_2022_3159814 |
| PublicationCentury | 2000 |
| PublicationDate | 2022-8-00 |
| PublicationDateYYYYMMDD | 2022-08-01 |
| PublicationDate_xml | – month: 08 year: 2022 text: 2022-8-00 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | IEEE transactions on circuits and systems. II, Express briefs |
| PublicationYear | 2022 |
| Publisher | The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher_xml | – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| References | ref13 ref12 ref15 ref14 Koh (ref4) 2007; 8 ref11 Evans (ref25) 1982; 41 ref10 ref2 ref1 ref17 ref16 ref19 ref18 ref24 ref23 ref20 ref22 ref21 ref8 ref7 ref9 ref3 ref6 ref5 |
| References_xml | – ident: ref17 doi: 10.1109/TNNLS.2019.2920880 – ident: ref6 doi: 10.1109/TCSII.2021.3128416 – ident: ref21 doi: 10.1109/TIT.2005.858979 – volume: 41 issue: 3 year: 1982 ident: ref25 article-title: An introduction to variational inequalities and their applications publication-title: Amer. Sci. – volume: 8 start-page: 1519 issue: 8 year: 2007 ident: ref4 article-title: An interior-point method for large-scale $l_{1}$ -regularized logistic regression publication-title: J. Mach. Learn. Res. – ident: ref2 doi: 10.1002/cpa.20132 – ident: ref9 doi: 10.1109/TCYB.2019.2895885 – ident: ref19 doi: 10.1109/TNNLS.2021.3085314 – ident: ref15 doi: 10.1109/TNNLS.2021.3088535 – ident: ref8 doi: 10.1109/TCSII.2021.3132392 – ident: ref20 doi: 10.1515/9781400831470 – ident: ref14 doi: 10.1007/s00034-020-01445-3 – ident: ref24 doi: 10.1017/cbo9781107282094 – ident: ref5 doi: 10.1016/j.acha.2009.04.002 – ident: ref11 doi: 10.1109/TNNLS.2019.2917137 – ident: ref13 doi: 10.1109/TNNLS.2015.2481006 – ident: ref16 doi: 10.1109/TNNLS.2011.2181867 – ident: ref23 doi: 10.1137/S003614450037906X – ident: ref3 doi: 10.1109/TIT.2007.909108 – ident: ref22 doi: 10.1137/S0097539792240406 – ident: ref1 doi: 10.1109/TIT.2006.871582 – ident: ref18 doi: 10.1109/TCSII.2019.2930648 – ident: ref12 doi: 10.1109/TFUZZ.2020.3009730 – ident: ref10 doi: 10.1109/TNNLS.2019.2944388 – ident: ref7 doi: 10.1109/TCSII.2020.3009291 |
| SSID | ssj0029032 |
| Score | 2.331621 |
| Snippet | This brief considers a distributed algorithm for solving [Formula Omitted]-minimization problem based on nonlinear neurodynamic system. Compared with... |
| SourceID | proquest crossref |
| SourceType | Aggregation Database Enrichment Source Index Database |
| StartPage | 3490 |
| SubjectTerms | Algorithms Multiagent systems Optimization Signal reconstruction |
| Title | A Two-Layer Distributed Algorithm Using Neurodynamic System for Solving L 1 -Minimization |
| URI | https://www.proquest.com/docview/2696255673 |
| Volume | 69 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIEE databaseName: IEEE/IET Electronic Library (IEL) customDbUrl: eissn: 1558-3791 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0029032 issn: 1549-7747 databaseCode: RIE dateStart: 20040101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9NAEF6FwgEOiKcoFLQHxMVyWMeP3T1GVapGCgGprvDNsteb1FLqhDza_Ob-CmYfXhxVquDAxYrWcaLd_TyeGc98H0KfVX91FUrhV6IkfsQE88sCbryKFeEgjOKoqJgWm6DTKcsy_qPXu2t7YW4WtGnYfs9X_3WrYQw2W7XO_sN2ux-FAfgMmw5H2HY4_tXGD730dulPCvClFbemUbQCt3K4mC_X9fbq2jNlApqWozKC9Ja4XNccXiwXOskw8QL_W93U17ZTs-vGqhBRqUu0UuP6nYOo12Kn3kPoXLxhQu9747E2t3tdcOuVEJnPnBuf7UxjSLOS9gGqs7JqMKs7IyZJm9UOyD-NsTxfNnOIF-bd1AVEvW3hnAFbqstDOyURI63841gSRk4IaOPYGZ3p1A44TLZNmFjzHXGIFwyHZ1_asZiBGTWaYK3NT3gH26xjwMPIqJfef7JoYtb09GI87qu59ENwBJlpgD2k8Z5-z88uJ5M8HWXpl9UvXymcqUoAK_fyCD0eULjU9Bq65AAnWkzPzaBt8CL86_0_PXSiDn0I7RilL9BzG9HgoUHiS9STzSv0rMNz-RplQ-wwiTuYxA6TWGMSdzGJDSYxYBJbTOIJPsTkG3R5NkpPz30r6eGLYEBCX8QwTSlFkhQFTHJGg1iSsKS8kEwkBRGUhqwk5SCZlXCa0EKxP0FIEsgkjisWvkVHzbKR7xBW0UYsqhJ8zlkUlqIoRVyQiBJJZwHj_BgF7RrlwvLdK9mVRa7jXsJzva65Wtfcrusx8tw1K8P28uC3T9qlz60B2OSDhCeK1o-G7x8-_QE9_XNPnKCj7XonP6In4mZbb9afNDh-A_wCqLA |
| linkProvider | IEEE |
| 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=A+Two-Layer+Distributed+Algorithm+Using+Neurodynamic+System+for+Solving+L+1-Minimization&rft.jtitle=IEEE+transactions+on+circuits+and+systems.+II%2C+Express+briefs&rft.au=Xu%2C+Junpeng&rft.au=He%2C+Xing&rft.au=Han%2C+Xin&rft.au=Wen%2C+Hongsong&rft.date=2022-08-01&rft.pub=The+Institute+of+Electrical+and+Electronics+Engineers%2C+Inc.+%28IEEE%29&rft.issn=1549-7747&rft.eissn=1558-3791&rft.volume=69&rft.issue=8&rft.spage=3490&rft_id=info:doi/10.1109%2FTCSII.2022.3159814&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1549-7747&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1549-7747&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1549-7747&client=summon |