{"id":"https://openalex.org/W2908937891","doi":"https://doi.org/10.1109/access.2019.2891121","title":"Approximate Message Passing Algorithm for Nonconvex Regularization","display_name":"Approximate Message Passing Algorithm for Nonconvex Regularization","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2908937891","doi":"https://doi.org/10.1109/access.2019.2891121","mag":"2908937891"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2891121","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2891121","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2019.2891121","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100323532","display_name":"Hui Zhang","orcid":"https://orcid.org/0000-0003-1715-4332"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Hui Zhang","raw_affiliation_strings":["Faculty of Information Technology, Macau University of Science and Technology, Macau, China","State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China"],"raw_orcid":"https://orcid.org/0000-0003-1715-4332","affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100457335","display_name":"Hai Zhang","orcid":"https://orcid.org/0000-0002-5494-001X"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Hai Zhang","raw_affiliation_strings":["Faculty of Information Technology, Macau University of Science and Technology, Macau, China","State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083841358","display_name":"Yong Liang","orcid":"https://orcid.org/0000-0002-2858-2810"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yong Liang","raw_affiliation_strings":["State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China"],"raw_orcid":"https://orcid.org/0000-0002-2858-2810","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Quality Research in Chinese Medicines, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085127108","display_name":"Ziyi Yang","orcid":"https://orcid.org/0000-0002-3550-9283"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Zi-Yi Yang","raw_affiliation_strings":["Faculty of Information Technology, Macau University of Science and Technology, Macau, China"],"raw_orcid":"https://orcid.org/0000-0002-3550-9283","affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083949767","display_name":"Yanqiong Ren","orcid":"https://orcid.org/0000-0002-7619-1400"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yanqiong Ren","raw_affiliation_strings":["Faculty of Information Technology, Macau University of Science and Technology, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Macau University of Science and Technology, Macau, China","institution_ids":["https://openalex.org/I111950717"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I111950717"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.7474,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66709996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"9080","last_page":"9090"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.7360231280326843},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7326254844665527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6843371391296387},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6446169018745422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5707154870033264},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5251973867416382},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5141928195953369},{"id":"https://openalex.org/keywords/scad","display_name":"Scad","score":0.44976386427879333},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3771935701370239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3176325559616089},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24635431170463562},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.08534887433052063}],"concepts":[{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.7360231280326843},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7326254844665527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6843371391296387},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6446169018745422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5707154870033264},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5251973867416382},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5141928195953369},{"id":"https://openalex.org/C2776857174","wikidata":"https://www.wikidata.org/wiki/Q7429613","display_name":"Scad","level":3,"score":0.44976386427879333},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3771935701370239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3176325559616089},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24635431170463562},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.08534887433052063},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C500558357","wikidata":"https://www.wikidata.org/wiki/Q12152","display_name":"Myocardial infarction","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2891121","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2891121","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7130b68aada8489e911af6c19b12c283","is_oa":true,"landing_page_url":"https://doaj.org/article/7130b68aada8489e911af6c19b12c283","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 9080-9090 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2891121","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2891121","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4083134059","display_name":null,"funder_award_id":"11571011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5234250448","display_name":null,"funder_award_id":"11690011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6387986177","display_name":null,"funder_award_id":"61721002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6620808017","display_name":null,"funder_award_id":"61373114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7926885967","display_name":null,"funder_award_id":"61661166011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1965125844","https://openalex.org/W2020222100","https://openalex.org/W2024311320","https://openalex.org/W2028781966","https://openalex.org/W2034260606","https://openalex.org/W2041891835","https://openalex.org/W2056201402","https://openalex.org/W2056370875","https://openalex.org/W2058815839","https://openalex.org/W2073868986","https://openalex.org/W2078204800","https://openalex.org/W2082029531","https://openalex.org/W2090842051","https://openalex.org/W2099641086","https://openalex.org/W2116437043","https://openalex.org/W2129638195","https://openalex.org/W2135046866","https://openalex.org/W2145096794","https://openalex.org/W2154332973","https://openalex.org/W2168175751","https://openalex.org/W2258635466","https://openalex.org/W2572855006","https://openalex.org/W2610971674","https://openalex.org/W2949417153","https://openalex.org/W2963264932","https://openalex.org/W3098306969","https://openalex.org/W3098848552","https://openalex.org/W3100706365","https://openalex.org/W4235499294","https://openalex.org/W4250866088","https://openalex.org/W4250955649","https://openalex.org/W4299515571","https://openalex.org/W6632425672","https://openalex.org/W6656640297","https://openalex.org/W6665272994","https://openalex.org/W6684461797","https://openalex.org/W6755923013"],"related_works":["https://openalex.org/W1996583386","https://openalex.org/W2987968047","https://openalex.org/W2596853911","https://openalex.org/W4289538352","https://openalex.org/W2793449486","https://openalex.org/W2125207782","https://openalex.org/W2954431613","https://openalex.org/W4404202171","https://openalex.org/W2029495777","https://openalex.org/W2765477510"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,48,64],"study":[4],"the":[5,45,66,69,80,83,90,113,120],"sparse":[6,104],"signal":[7,41,105],"reconstruction":[8,98],"with":[9],"nonconvex":[10,17],"regularization,":[11],"mainly":[12],"focusing":[13],"on":[14,44,94],"two":[15],"popular":[16],"regularization":[18],"methods,":[19],"minimax":[20],"concave":[21],"penalty":[22],"(MCP)":[23],"and":[24,56,72,107,119],"smoothly":[25],"clipped":[26],"absolute":[27],"deviation":[28],"(SCAD).":[29],"An":[30],"approximate":[31],"message":[32],"passing":[33],"(AMP)":[34],"algorithm":[35,55,118],"is":[36],"an":[37,50,57],"effective":[38],"method":[39],"for":[40,103],"reconstruction.":[42],"Based":[43],"AMP":[46,95],"algorithm,":[47],"propose":[49],"improved":[51,58],"MCP":[52,115],"iterative":[53,60,116,123],"thresholding":[54,61,117,124],"SCAD":[59,122],"algorithm.":[62,125],"Furthermore,":[63],"analyze":[65],"convergence":[67],"of":[68,76,82],"new":[70,84,91],"algorithms":[71,92],"provide":[73],"a":[74],"series":[75],"experiments":[77,87],"to":[78],"assess":[79],"performance":[81],"algorithms.":[85],"The":[86],"show":[88],"that":[89],"based":[93],"have":[96],"stronger":[97],"capabilities,":[99],"higher":[100],"phase":[101],"transition":[102],"reconstruction,":[106],"better":[108],"variable":[109],"selection":[110],"ability":[111],"than":[112],"original":[114,121]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
