{"id":"https://openalex.org/W3141829191","doi":"https://doi.org/10.1142/s0219691321500016","title":"Efficiency of the weak Rescaled Pure Greedy Algorithm","display_name":"Efficiency of the weak Rescaled Pure Greedy Algorithm","publication_year":2021,"publication_date":"2021-03-29","ids":{"openalex":"https://openalex.org/W3141829191","doi":"https://doi.org/10.1142/s0219691321500016","mag":"3141829191"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691321500016","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691321500016","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5085564901","display_name":"Bing Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bing Jiang","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010523186","display_name":"Peixin Ye","orcid":"https://orcid.org/0000-0002-4706-3223"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peixin Ye","raw_affiliation_strings":["School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085564901"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":null,"apc_paid":null,"fwci":1.401,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77614347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"04","first_page":"2150001","last_page":"2150001"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9984999895095825,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7635102868080139},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.7389524579048157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7173755168914795},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6973704695701599},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.6404483318328857},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6125699877738953},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4441837966442108},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43413445353507996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4265751540660858},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3591211438179016},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1533825397491455}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7635102868080139},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.7389524579048157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7173755168914795},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6973704695701599},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.6404483318328857},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6125699877738953},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4441837966442108},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43413445353507996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4265751540660858},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3591211438179016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1533825397491455},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691321500016","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691321500016","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1606103777","https://openalex.org/W2009017478","https://openalex.org/W2020390700","https://openalex.org/W2037842665","https://openalex.org/W2085310530","https://openalex.org/W2090479267","https://openalex.org/W2151693816","https://openalex.org/W2154172459","https://openalex.org/W2328223453","https://openalex.org/W2784412932","https://openalex.org/W2914629549","https://openalex.org/W2963246996","https://openalex.org/W3005178164","https://openalex.org/W3030126785","https://openalex.org/W4231428347","https://openalex.org/W4232853762","https://openalex.org/W4249999916"],"related_works":["https://openalex.org/W59672587","https://openalex.org/W2080078587","https://openalex.org/W2077207497","https://openalex.org/W2063336445","https://openalex.org/W2027301663","https://openalex.org/W1991313602","https://openalex.org/W2373323024","https://openalex.org/W2011881806","https://openalex.org/W2972356172","https://openalex.org/W2062184313"],"abstract_inverted_index":{"We":[0,27],"study":[1],"the":[2,5,29,35,50,56,66,70,74,78],"efficiency":[3],"of":[4,37,55,69],"Weak":[6,57],"Rescaled":[7,87],"Pure":[8,58],"Greedy":[9,59],"Algorithm":[10,60],"(WRPGA)":[11],"with":[12],"respect":[13],"to":[14],"a":[15,18,24],"dictionary":[16],"in":[17,84],"Hilbert":[19],"space":[20],"or":[21],"more":[22],"generally":[23],"Banach":[25,94],"space.":[26],"obtain":[28],"sufficient":[30,51],"and":[31,42,93],"necessary":[32],"conditions":[33,52],"for":[34,39,53,73,91],"convergence":[36,54],"WRPGA":[38],"any":[40,43],"element":[41],"dictionary.":[44],"This":[45],"condition":[46],"is":[47],"weaker":[48],"than":[49],"(WPGA).":[61],"In":[62],"addition,":[63],"we":[64],"establish":[65],"noisy":[67],"version":[68],"error":[71],"estimate":[72],"WRPGA,":[75],"which":[76],"implies":[77],"results":[79],"on":[80],"sparse":[81],"classes":[82],"obtained":[83],"[G.":[85],"Petrova,":[86],"pure":[88],"greedy":[89],"algorithm":[90],"Hlibert":[92],"spaces,":[95],"Appl.":[96],"Comput.":[97],"Harmon.":[98],"Anal.":[99],"41(3)":[100],"(2016)":[101],"852\u2013866].":[102]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
