{"id":"https://openalex.org/W2943886563","doi":"https://doi.org/10.1142/s0217595919400086","title":"An Inexact Projected Gradient Method for Sparsity-Constrained Quadratic Measurements Regression","display_name":"An Inexact Projected Gradient Method for Sparsity-Constrained Quadratic Measurements Regression","publication_year":2019,"publication_date":"2019-04-01","ids":{"openalex":"https://openalex.org/W2943886563","doi":"https://doi.org/10.1142/s0217595919400086","mag":"2943886563"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595919400086","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595919400086","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101555013","display_name":"Jun Fan","orcid":"https://orcid.org/0000-0001-8451-3484"},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Fan","raw_affiliation_strings":["Institute of Mathematics, Hebei University of Technology, Tianjin 300401, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hebei University of Technology, Tianjin 300401, P. R. China","institution_ids":["https://openalex.org/I184843921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100622739","display_name":"Liqun Wang","orcid":"https://orcid.org/0000-0002-1869-9871"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Liqun Wang","raw_affiliation_strings":["Department of Statistics, University of Manitoba, Winnipeg, R3T 2N2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Manitoba, Winnipeg, R3T 2N2, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004960820","display_name":"Ailing Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I184843921","display_name":"Hebei University of Technology","ror":"https://ror.org/018hded08","country_code":"CN","type":"education","lineage":["https://openalex.org/I184843921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ailing Yan","raw_affiliation_strings":["Institute of Mathematics, Hebei University of Technology, Tianjin 300401, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hebei University of Technology, Tianjin 300401, P. R. China","institution_ids":["https://openalex.org/I184843921"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5826,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64522713,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"36","issue":"02","first_page":"1940008","last_page":"1940008"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6925855278968811},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6637962460517883},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6572950482368469},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5428760647773743},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5055091381072998},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4842662215232849},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4816364347934723},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.48044344782829285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4755361080169678},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.46287277340888977},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4586693048477173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4499441683292389},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.41987699270248413},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.15386873483657837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1380332112312317},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07567626237869263}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6925855278968811},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6637962460517883},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6572950482368469},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5428760647773743},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5055091381072998},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4842662215232849},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4816364347934723},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.48044344782829285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4755361080169678},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.46287277340888977},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4586693048477173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4499441683292389},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.41987699270248413},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.15386873483657837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1380332112312317},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07567626237869263},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0217595919400086","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595919400086","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:36:y:2019:i:02:n:s0217595919400086","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595919400086","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W609313498","https://openalex.org/W1970503897","https://openalex.org/W1992222322","https://openalex.org/W2001613283","https://openalex.org/W2006602349","https://openalex.org/W2006805041","https://openalex.org/W2028781966","https://openalex.org/W2031197045","https://openalex.org/W2039715928","https://openalex.org/W2040192961","https://openalex.org/W2073614582","https://openalex.org/W2078397124","https://openalex.org/W2083346837","https://openalex.org/W2106967375","https://openalex.org/W2107376953","https://openalex.org/W2113074910","https://openalex.org/W2113967003","https://openalex.org/W2154815925","https://openalex.org/W2154963037","https://openalex.org/W2164912307","https://openalex.org/W2167850383","https://openalex.org/W2336819882","https://openalex.org/W2600643276","https://openalex.org/W2604272474","https://openalex.org/W2962914151","https://openalex.org/W2963174442","https://openalex.org/W2963322354","https://openalex.org/W2963855280","https://openalex.org/W3100106241","https://openalex.org/W3106045166","https://openalex.org/W3148325197","https://openalex.org/W4385738287"],"related_works":["https://openalex.org/W3036464408","https://openalex.org/W2020990755","https://openalex.org/W2377851227","https://openalex.org/W4293088966","https://openalex.org/W2366868484","https://openalex.org/W2963086517","https://openalex.org/W2564735875","https://openalex.org/W3123504125","https://openalex.org/W2917463375","https://openalex.org/W3147739796"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,47],"employ":[4],"the":[5,15,23,26,53,56],"sparsity-constrained":[6],"least":[7],"squares":[8],"method":[9,38],"to":[10,51],"reconstruct":[11],"sparse":[12],"signals":[13],"from":[14],"noisy":[16],"measurements":[17],"in":[18],"high-dimensional":[19],"case,":[20],"and":[21,42],"derive":[22],"existence":[24],"of":[25,55],"optimal":[27],"solution":[28],"under":[29],"certain":[30],"conditions.":[31],"We":[32],"propose":[33],"an":[34],"inexact":[35],"sparse-projected":[36],"gradient":[37],"for":[39],"numerical":[40,49],"computation":[41],"discuss":[43],"its":[44],"convergence.":[45],"Moreover,":[46],"present":[48],"results":[50],"demonstrate":[52],"efficiency":[54],"proposed":[57],"method.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}