{"id":"https://openalex.org/W2903318095","doi":"https://doi.org/10.1155/2018/2609471","title":"Stochastic Block\u2010Coordinate Gradient Projection Algorithms for Submodular Maximization","display_name":"Stochastic Block\u2010Coordinate Gradient Projection Algorithms for Submodular Maximization","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2903318095","doi":"https://doi.org/10.1155/2018/2609471","mag":"2903318095"},"language":"en","primary_location":{"id":"doi:10.1155/2018/2609471","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/2609471","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/2609471.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2018/2609471.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040201203","display_name":"Zhigang Li","orcid":"https://orcid.org/0000-0003-1943-9999"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Li","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China","School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China","institution_ids":["https://openalex.org/I23171815"]},{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087014857","display_name":"Mingchuan Zhang","orcid":"https://orcid.org/0000-0002-2523-1089"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingchuan Zhang","raw_affiliation_strings":["Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","Information Engineering College, Henan University of Science and Technology, Luoyang, 471023"],"raw_orcid":"https://orcid.org/0000-0002-2523-1089","affiliations":[{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050705532","display_name":"Junlong Zhu","orcid":"https://orcid.org/0000-0002-6411-7035"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junlong Zhu","raw_affiliation_strings":["Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","Information Engineering College, Henan University of Science and Technology, Luoyang, 471023"],"raw_orcid":"https://orcid.org/0000-0002-6411-7035","affiliations":[{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069590254","display_name":"Ruijuan Zheng","orcid":"https://orcid.org/0000-0002-0932-8788"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruijuan Zheng","raw_affiliation_strings":["Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","Information Engineering College, Henan University of Science and Technology, Luoyang, 471023"],"raw_orcid":"https://orcid.org/0000-0002-0932-8788","affiliations":[{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023","institution_ids":["https://openalex.org/I167383011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073406431","display_name":"Qikun Zhang","orcid":"https://orcid.org/0000-0002-6117-5686"},"institutions":[{"id":"https://openalex.org/I23171815","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16","country_code":"CN","type":"education","lineage":["https://openalex.org/I23171815"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qikun Zhang","raw_affiliation_strings":["School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China","School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002"],"raw_orcid":"https://orcid.org/0000-0002-6117-5686","affiliations":[{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China","institution_ids":["https://openalex.org/I23171815"]},{"raw_affiliation_string":"School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002","institution_ids":["https://openalex.org/I23171815"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080439384","display_name":"Qingtao Wu","orcid":"https://orcid.org/0000-0003-1572-5293"},"institutions":[{"id":"https://openalex.org/I167383011","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58","country_code":"CN","type":"education","lineage":["https://openalex.org/I167383011"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingtao Wu","raw_affiliation_strings":["Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","Information Engineering College, Henan University of Science and Technology, Luoyang, 471023"],"raw_orcid":"https://orcid.org/0000-0003-1572-5293","affiliations":[{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023, China","institution_ids":["https://openalex.org/I167383011"]},{"raw_affiliation_string":"Information Engineering College, Henan University of Science and Technology, Luoyang, 471023","institution_ids":["https://openalex.org/I167383011"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5087014857"],"corresponding_institution_ids":["https://openalex.org/I167383011"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19103906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/submodular-set-function","display_name":"Submodular set function","score":0.8911400437355042},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5441438555717468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5210532546043396},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5187880992889404},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5016510486602783},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48513874411582947},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47752654552459717},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.45816662907600403},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.44009536504745483},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4301931858062744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41397565603256226},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24379748106002808}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.8911400437355042},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5441438555717468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5210532546043396},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5187880992889404},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5016510486602783},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48513874411582947},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47752654552459717},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.45816662907600403},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.44009536504745483},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4301931858062744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41397565603256226},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24379748106002808},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2018/2609471","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/2609471","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/2609471.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:2609471","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/2609471.xml","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"},{"id":"pmh:oai:doaj.org/article:1b372e670d0b4a41b368cb1625d4bff2","is_oa":true,"landing_page_url":"https://doaj.org/article/1b372e670d0b4a41b368cb1625d4bff2","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":"Complexity, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/2609471","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/2609471","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/2609471.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1326370026","display_name":"\u878d\u5408\u534f\u540c\u4f18\u5316\u7684\u4fe1\u606f\u4e2d\u5fc3\u7f51\u7edc\u667a\u6167\u62e5\u585e\u63a7\u5236\u673a\u5236\u7814\u7a76","funder_award_id":"61871430","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2123043084","display_name":null,"funder_award_id":"162300410322","funder_id":"https://openalex.org/F4320323845","funder_display_name":"Natural Science Foundation of Henan Province"},{"id":"https://openalex.org/G2263177222","display_name":"\u9762\u5411\u79fb\u52a8\u5fae\u5b66\u4e60\u7684\u4e91\u670d\u52a1\u591a\u7ef4\u534f\u4f5c\u53ef\u4fe1\u7ba1\u7406\u673a\u5236\u7814\u7a76","funder_award_id":"61602155","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2933501248","display_name":null,"funder_award_id":"61572445","funder_id":"https://openalex.org/F4320323845","funder_display_name":"Natural Science Foundation of Henan Province"},{"id":"https://openalex.org/G3305018911","display_name":null,"funder_award_id":"61871430","funder_id":"https://openalex.org/F4320322878","funder_display_name":"Henan University"},{"id":"https://openalex.org/G3894998447","display_name":"\u591a\u6240\u6709\u8005RFID\u6807\u7b7e\u6240\u6709\u6743\u53ef\u9a8c\u8bc1\u52a8\u6001\u5b89\u5168\u8f6c\u6362\u673a\u5236\u7814\u7a76","funder_award_id":"61572445","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3967456529","display_name":null,"funder_award_id":"174100510010","funder_id":"https://openalex.org/F4320322878","funder_display_name":"Henan University"},{"id":"https://openalex.org/G3994107070","display_name":null,"funder_award_id":"61602155","funder_id":"https://openalex.org/F4320322878","funder_display_name":"Henan University"},{"id":"https://openalex.org/G4117978028","display_name":"\u8de8\u57df\u53ef\u5b9a\u5411\u7684\u975e\u5bf9\u79f0\u7fa4\u7ec4\u5bc6\u94a5\u534f\u5546\u7814\u7a76","funder_award_id":"61772477","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5808468498","display_name":null,"funder_award_id":"U1604155","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6097767447","display_name":null,"funder_award_id":"174100510010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6460176746","display_name":null,"funder_award_id":"19zx010","funder_id":"https://openalex.org/F4320322878","funder_display_name":"Henan University"},{"id":"https://openalex.org/G8047355833","display_name":null,"funder_award_id":"19zx010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8741178205","display_name":null,"funder_award_id":"U1604155","funder_id":"https://openalex.org/F4320322878","funder_display_name":"Henan University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322501","display_name":"Zhengzhou University of Light Industry","ror":"https://ror.org/05fwr8z16"},{"id":"https://openalex.org/F4320322766","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21"},{"id":"https://openalex.org/F4320322878","display_name":"Henan University","ror":"https://ror.org/003xyzq10"},{"id":"https://openalex.org/F4320323845","display_name":"Natural Science Foundation of Henan Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2903318095.pdf","grobid_xml":"https://content.openalex.org/works/W2903318095.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1680189815","https://openalex.org/W1973315504","https://openalex.org/W1981351071","https://openalex.org/W1982941867","https://openalex.org/W1990461944","https://openalex.org/W1999824796","https://openalex.org/W2013850411","https://openalex.org/W2035442052","https://openalex.org/W2035575256","https://openalex.org/W2039050532","https://openalex.org/W2043478128","https://openalex.org/W2050511894","https://openalex.org/W2053381548","https://openalex.org/W2054581030","https://openalex.org/W2055421030","https://openalex.org/W2060777387","https://openalex.org/W2067484689","https://openalex.org/W2072265605","https://openalex.org/W2075660001","https://openalex.org/W2079482358","https://openalex.org/W2094067695","https://openalex.org/W2095984592","https://openalex.org/W2100007248","https://openalex.org/W2110896443","https://openalex.org/W2113393671","https://openalex.org/W2117669906","https://openalex.org/W2117686388","https://openalex.org/W2128059732","https://openalex.org/W2128529555","https://openalex.org/W2132651631","https://openalex.org/W2141403143","https://openalex.org/W2569283211","https://openalex.org/W2596585349","https://openalex.org/W2604272474","https://openalex.org/W2612690371","https://openalex.org/W2616811598","https://openalex.org/W2757107770","https://openalex.org/W2787198218","https://openalex.org/W2962795549","https://openalex.org/W2963719189","https://openalex.org/W3105543546","https://openalex.org/W4242336842","https://openalex.org/W4254313632","https://openalex.org/W4410109211"],"related_works":["https://openalex.org/W2896347948","https://openalex.org/W4302557420","https://openalex.org/W2950500962","https://openalex.org/W2915041254","https://openalex.org/W2950365512","https://openalex.org/W1608444752","https://openalex.org/W3204684126","https://openalex.org/W2062310236","https://openalex.org/W3013568067","https://openalex.org/W4313343266"],"abstract_inverted_index":{"We":[0,71],"consider":[1],"a":[2,43,56],"stochastic":[3,44],"continuous":[4,51],"submodular":[5,52],"huge\u2010scale":[6],"optimization":[7],"problem,":[8],"which":[9,54],"arises":[10],"naturally":[11],"in":[12],"many":[13],"applications":[14],"such":[15],"as":[16],"machine":[17],"learning.":[18],"Due":[19],"to":[20,84],"high\u2010dimensional":[21],"data,":[22],"the":[23,26,36,64,67,74,81,95,99,132,135],"computation":[24],"of":[25,59,76],"whole":[27],"gradient":[28,46,60,69],"vector":[29,61],"can":[30],"become":[31],"prohibitively":[32],"expensive.":[33],"To":[34],"reduce":[35],"complexity":[37],"and":[38,62],"memory":[39],"requirements,":[40],"we":[41,92,128],"propose":[42],"block\u2010coordinate":[45],"projection":[47],"algorithm":[48,82,97,133],"for":[49,119,161],"maximizing":[50],"functions,":[53],"chooses":[55],"random":[57],"subset":[58],"updates":[63],"estimates":[65,75],"along":[66],"positive":[68],"direction.":[70],"prove":[72],"that":[73,94,131],"all":[77],"nodes":[78],"generated":[79],"by":[80,122,168],"converge":[83],"some":[85],"stationary":[86],"points":[87],"with":[88,165],"probability":[89],"1.":[90],"Moreover,":[91],"show":[93,130],"proposed":[96],"achieves":[98,134],"tight":[100,136],"((":[101,137],"p":[102,145],"min":[103,146],"/2)":[104],"F":[105,147],"\u204e":[106,148],"\u2212":[107,149],"\u03f5":[108,115,150,157],")":[109,117,151,159],"approximation":[110,152],"guarantee":[111,153],"after":[112,154],"O":[113,155],"(1/":[114,156],"2":[116,139,143,158],"iterations":[118,160],"DR\u2010submodular":[120,163],"functions":[121,164],"choosing":[123,169],"appropriate":[124],"step":[125,171],"sizes.":[126,172],"Furthermore,":[127],"also":[129],"\u03b3":[138,142,167],"/(1":[140],"+":[141],"))":[144],"weakly":[162],"parameter":[166],"diminishing":[170]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}