{"id":"https://openalex.org/W4308042181","doi":"https://doi.org/10.1007/s00371-022-02699-5","title":"Robust principal component analysis based on tensor train rank and Schatten p-norm","display_name":"Robust principal component analysis based on tensor train rank and Schatten p-norm","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4308042181","doi":"https://doi.org/10.1007/s00371-022-02699-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-022-02699-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-022-02699-5","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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/A5035407903","display_name":"Pengcheng Zhang","orcid":"https://orcid.org/0000-0003-3594-408X"},"institutions":[{"id":"https://openalex.org/I113992204","display_name":"Hebei University of Economics and Business","ror":"https://ror.org/05j1kc284","country_code":"CN","type":"education","lineage":["https://openalex.org/I113992204"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengcheng Zhang","raw_affiliation_strings":["School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China","institution_ids":["https://openalex.org/I113992204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020768603","display_name":"Juan Geng","orcid":"https://orcid.org/0000-0002-6195-505X"},"institutions":[{"id":"https://openalex.org/I113992204","display_name":"Hebei University of Economics and Business","ror":"https://ror.org/05j1kc284","country_code":"CN","type":"education","lineage":["https://openalex.org/I113992204"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Juan Geng","raw_affiliation_strings":["School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China"],"raw_orcid":"https://orcid.org/0000-0002-6195-505X","affiliations":[{"raw_affiliation_string":"School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China","institution_ids":["https://openalex.org/I113992204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101676534","display_name":"Yapeng Liu","orcid":"https://orcid.org/0000-0003-3822-2824"},"institutions":[{"id":"https://openalex.org/I113992204","display_name":"Hebei University of Economics and Business","ror":"https://ror.org/05j1kc284","country_code":"CN","type":"education","lineage":["https://openalex.org/I113992204"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yapeng Liu","raw_affiliation_strings":["School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China","institution_ids":["https://openalex.org/I113992204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055583016","display_name":"Shou-Xin Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I113992204","display_name":"Hebei University of Economics and Business","ror":"https://ror.org/05j1kc284","country_code":"CN","type":"education","lineage":["https://openalex.org/I113992204"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouxin Yang","raw_affiliation_strings":["School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of mathematics and statistics, Hebei University of Economics and Business, Shijiazhuang, 050000, China","institution_ids":["https://openalex.org/I113992204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020768603"],"corresponding_institution_ids":["https://openalex.org/I113992204"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5247,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59899749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"11","first_page":"5849","last_page":"5867"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9883999824523926,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9865000247955322,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.8734478950500488},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.7659242153167725},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.7368000745773315},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6661322712898254},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6602470278739929},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5958954095840454},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5368410348892212},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.48864036798477173},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.4809407591819763},{"id":"https://openalex.org/keywords/sparse-pca","display_name":"Sparse PCA","score":0.4667765200138092},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39985010027885437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3844830393791199},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3495919406414032},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3227394223213196},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26790374517440796},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16667047142982483},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1240530014038086}],"concepts":[{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.8734478950500488},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.7659242153167725},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.7368000745773315},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6661322712898254},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6602470278739929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5958954095840454},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5368410348892212},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.48864036798477173},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.4809407591819763},{"id":"https://openalex.org/C24252448","wikidata":"https://www.wikidata.org/wiki/Q7573786","display_name":"Sparse PCA","level":3,"score":0.4667765200138092},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39985010027885437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3844830393791199},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3495919406414032},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3227394223213196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26790374517440796},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16667047142982483},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1240530014038086},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00371-022-02699-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-022-02699-5","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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":48,"referenced_works":["https://openalex.org/W653074768","https://openalex.org/W1580963329","https://openalex.org/W1860736741","https://openalex.org/W1986191310","https://openalex.org/W1992426838","https://openalex.org/W1993482030","https://openalex.org/W1998557720","https://openalex.org/W2014237985","https://openalex.org/W2021836772","https://openalex.org/W2024165284","https://openalex.org/W2030927653","https://openalex.org/W2050630265","https://openalex.org/W2055894834","https://openalex.org/W2060132011","https://openalex.org/W2078677240","https://openalex.org/W2080843093","https://openalex.org/W2081962379","https://openalex.org/W2091449379","https://openalex.org/W2128728535","https://openalex.org/W2145962650","https://openalex.org/W2160813243","https://openalex.org/W2163446914","https://openalex.org/W2163665255","https://openalex.org/W2168580857","https://openalex.org/W2336294793","https://openalex.org/W2412278696","https://openalex.org/W2414168010","https://openalex.org/W2584485641","https://openalex.org/W2739980858","https://openalex.org/W2743606449","https://openalex.org/W2789288870","https://openalex.org/W2804350820","https://openalex.org/W2945316973","https://openalex.org/W2961898897","https://openalex.org/W2963885538","https://openalex.org/W2964214749","https://openalex.org/W2972301798","https://openalex.org/W2977894483","https://openalex.org/W2979028048","https://openalex.org/W3000268401","https://openalex.org/W3001220124","https://openalex.org/W3047534117","https://openalex.org/W3072262295","https://openalex.org/W3092411232","https://openalex.org/W3098038213","https://openalex.org/W3100170543","https://openalex.org/W3102415113","https://openalex.org/W6600751047"],"related_works":["https://openalex.org/W2953204310","https://openalex.org/W2030927653","https://openalex.org/W2990436289","https://openalex.org/W2732461152","https://openalex.org/W2006410278","https://openalex.org/W2354463222","https://openalex.org/W2309638141","https://openalex.org/W3174042135","https://openalex.org/W2574182783","https://openalex.org/W2732959879"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
