{"id":"https://openalex.org/W4402461643","doi":"https://doi.org/10.1142/s0219691324500504","title":"Characterization of the convergent multivariate nonnegative cascade algorithm with a dilation matrix","display_name":"Characterization of the convergent multivariate nonnegative cascade algorithm with a dilation matrix","publication_year":2024,"publication_date":"2024-09-11","ids":{"openalex":"https://openalex.org/W4402461643","doi":"https://doi.org/10.1142/s0219691324500504"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691324500504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691324500504","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":null,"display_name":"Li Cheng","orcid":"https://orcid.org/0000-0002-4939-5133"},"institutions":[{"id":"https://openalex.org/I3129496460","display_name":"Lishui University","ror":"https://ror.org/0418kp584","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129496460"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Cheng","raw_affiliation_strings":["Department of Mathematics, Lishui University, 323000 Lishui, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-4939-5133","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lishui University, 323000 Lishui, P. R. China","institution_ids":["https://openalex.org/I3129496460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024134802","display_name":"X.F. Fang","orcid":"https://orcid.org/0009-0006-2148-5889"},"institutions":[{"id":"https://openalex.org/I3129496460","display_name":"Lishui University","ror":"https://ror.org/0418kp584","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129496460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xufa Fang","raw_affiliation_strings":["Department of Mathematics, Lishui University, 323000 Lishui, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-2148-5889","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lishui University, 323000 Lishui, P. R. China","institution_ids":["https://openalex.org/I3129496460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108983924","display_name":"Weiyi Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I3129496460","display_name":"Lishui University","ror":"https://ror.org/0418kp584","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129496460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiyi Shi","raw_affiliation_strings":["Lishui Big Data Development Administration, 323000 Lishui, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-7204-8048","affiliations":[{"raw_affiliation_string":"Lishui Big Data Development Administration, 323000 Lishui, P. R. China","institution_ids":["https://openalex.org/I3129496460"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xueyan Xiang","orcid":"https://orcid.org/0009-0009-9750-1875"},"institutions":[{"id":"https://openalex.org/I3129496460","display_name":"Lishui University","ror":"https://ror.org/0418kp584","country_code":"CN","type":"education","lineage":["https://openalex.org/I3129496460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueyan Xiang","raw_affiliation_strings":["Department of Mathematics, Lishui University, 323000 Lishui, P. R. China"],"raw_orcid":"https://orcid.org/0009-0009-9750-1875","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lishui University, 323000 Lishui, P. R. China","institution_ids":["https://openalex.org/I3129496460"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhigang Yao","orcid":"https://orcid.org/0009-0003-5072-4461"},"institutions":[{"id":"https://openalex.org/I58995867","display_name":"Civil Aviation Flight University of China","ror":"https://ror.org/01xyb1v19","country_code":"CN","type":"education","lineage":["https://openalex.org/I58995867"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Yao","raw_affiliation_strings":["Institute of Electronic and Electrical Engineering, Civil Aviation Flight University of China, 61830 Guanghan, P. R. China"],"raw_orcid":"https://orcid.org/0009-0003-5072-4461","affiliations":[{"raw_affiliation_string":"Institute of Electronic and Electrical Engineering, Civil Aviation Flight University of China, 61830 Guanghan, P. R. China","institution_ids":["https://openalex.org/I58995867"]}]},{"author_position":"last","author":{"id":null,"display_name":"Nan Zhao","orcid":"https://orcid.org/0009-0003-6106-7612"},"institutions":[{"id":"https://openalex.org/I1328775524","display_name":"Zhejiang Sci-Tech University","ror":"https://ror.org/03893we55","country_code":"CN","type":"education","lineage":["https://openalex.org/I1328775524"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nan Zhao","raw_affiliation_strings":["Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China"],"raw_orcid":"https://orcid.org/0009-0003-6106-7612","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I1328775524"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3129496460"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14106445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9307000041007996,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9307000041007996,"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/multivariate-statistics","display_name":"Multivariate statistics","score":0.6694414615631104},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.6613115668296814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6282323598861694},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.5980854630470276},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5376248359680176},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5177944898605347},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4627853035926819},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33965009450912476},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31777477264404297},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24826496839523315},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1139676570892334},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09596702456474304}],"concepts":[{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6694414615631104},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.6613115668296814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6282323598861694},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.5980854630470276},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5376248359680176},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5177944898605347},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4627853035926819},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33965009450912476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31777477264404297},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24826496839523315},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1139676570892334},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09596702456474304},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691324500504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691324500504","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":[{"id":"https://openalex.org/G1763010386","display_name":null,"funder_award_id":"12171217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7150214027","display_name":null,"funder_award_id":"11701246","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1978242229","https://openalex.org/W1987996534","https://openalex.org/W2003989039","https://openalex.org/W2017721907","https://openalex.org/W2032326995","https://openalex.org/W2057122529","https://openalex.org/W2058259701","https://openalex.org/W2065386639","https://openalex.org/W2069382953","https://openalex.org/W2083262692","https://openalex.org/W2147479768","https://openalex.org/W2530228049"],"related_works":["https://openalex.org/W2153719181","https://openalex.org/W1971748923","https://openalex.org/W1566155057","https://openalex.org/W2060986072","https://openalex.org/W2052574922","https://openalex.org/W64588465","https://openalex.org/W3120641340","https://openalex.org/W2117825986","https://openalex.org/W3134067061","https://openalex.org/W2079855347"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,34],"characterize":[4],"the":[5,8,29,40],"convergence":[6],"of":[7,44],"multivariate":[9],"cascade":[10],"algorithm":[11],"with":[12],"an":[13],"[Formula:":[14,19],"see":[15,20],"text]":[16,21],"dilation":[17],"matrix":[18],"and":[22,42],"a":[23],"nonnegative":[24],"finite":[25],"mask,":[26],"which":[27,38],"generalizes":[28],"result":[30],"obtained":[31],"recently.":[32],"Moreover,":[33],"present":[35],"two":[36],"examples,":[37],"demonstrate":[39],"power":[41],"applicability":[43],"our":[45],"main":[46],"result.":[47]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
