{"id":"https://openalex.org/W2792910899","doi":"https://doi.org/10.1109/icip.2017.8296768","title":"Analysis-operator guided simultaneous tensor decomposition and completion","display_name":"Analysis-operator guided simultaneous tensor decomposition and completion","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2792910899","doi":"https://doi.org/10.1109/icip.2017.8296768","mag":"2792910899"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2017.8296768","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2017.8296768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-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/A5101321158","display_name":"Jiaojiao Xiong","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaojiao Xiong","raw_affiliation_strings":["School of Electronic Information Engineering, Nanchang University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information Engineering, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030175144","display_name":"Sanqian Li","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sanqian Li","raw_affiliation_strings":["School of Electronic Information Engineering, Nanchang University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information Engineering, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057647276","display_name":"Qiegen Liu","orcid":"https://orcid.org/0000-0003-4717-2283"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]},{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA","CN"],"is_corresponding":false,"raw_author_name":"Qiegen Liu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada","School of Electronic Information Engineering, Nanchang University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"School of Electronic Information Engineering, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110248916","display_name":"Xiaoling Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoling Xu","raw_affiliation_strings":["School of Electronic Information Engineering, Nanchang University, Nanchang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information Engineering, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.22652988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":null,"first_page":"2677","last_page":"2981"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T12303","display_name":"Tensor decomposition and applications","score":0.996999979019165,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9940999746322632,"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/tensor","display_name":"Tensor (intrinsic definition)","score":0.7332273125648499},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.6359681487083435},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6232931017875671},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6041994094848633},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5500362515449524},{"id":"https://openalex.org/keywords/tensor-contraction","display_name":"Tensor contraction","score":0.5204744338989258},{"id":"https://openalex.org/keywords/symmetric-tensor","display_name":"Symmetric tensor","score":0.5172451138496399},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.480535089969635},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47157755494117737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4662989675998688},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44907835125923157},{"id":"https://openalex.org/keywords/tensor-operator","display_name":"Tensor operator","score":0.42928895354270935},{"id":"https://openalex.org/keywords/tucker-decomposition","display_name":"Tucker decomposition","score":0.4251672327518463},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.41459259390830994},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41413554549217224},{"id":"https://openalex.org/keywords/cartesian-tensor","display_name":"Cartesian tensor","score":0.4139879047870636},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4119982123374939},{"id":"https://openalex.org/keywords/tensor-density","display_name":"Tensor density","score":0.3658754229545593},{"id":"https://openalex.org/keywords/tensor-decomposition","display_name":"Tensor decomposition","score":0.3403933644294739},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.25046995282173157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21269625425338745},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13484486937522888},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12179943919181824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09915095567703247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06627383828163147}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.7332273125648499},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.6359681487083435},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6232931017875671},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6041994094848633},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5500362515449524},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.5204744338989258},{"id":"https://openalex.org/C20178491","wikidata":"https://www.wikidata.org/wiki/Q2204117","display_name":"Symmetric tensor","level":3,"score":0.5172451138496399},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.480535089969635},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47157755494117737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4662989675998688},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44907835125923157},{"id":"https://openalex.org/C126412783","wikidata":"https://www.wikidata.org/wiki/Q15104431","display_name":"Tensor operator","level":3,"score":0.42928895354270935},{"id":"https://openalex.org/C42704193","wikidata":"https://www.wikidata.org/wiki/Q7851097","display_name":"Tucker decomposition","level":4,"score":0.4251672327518463},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.41459259390830994},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41413554549217224},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.4139879047870636},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4119982123374939},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.3658754229545593},{"id":"https://openalex.org/C2986737658","wikidata":"https://www.wikidata.org/wiki/Q30103009","display_name":"Tensor decomposition","level":3,"score":0.3403933644294739},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.25046995282173157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21269625425338745},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13484486937522888},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12179943919181824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09915095567703247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06627383828163147},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2017.8296768","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2017.8296768","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1476376401","https://openalex.org/W1568416770","https://openalex.org/W1623312516","https://openalex.org/W1814521481","https://openalex.org/W1893463465","https://openalex.org/W1968080575","https://openalex.org/W1974636210","https://openalex.org/W1986326495","https://openalex.org/W1989811026","https://openalex.org/W2008926977","https://openalex.org/W2030928609","https://openalex.org/W2078677240","https://openalex.org/W2091449379","https://openalex.org/W2094144876","https://openalex.org/W2095643100","https://openalex.org/W2109240917","https://openalex.org/W2112292531","https://openalex.org/W2121927366","https://openalex.org/W2123031198","https://openalex.org/W2130184048","https://openalex.org/W2130975789","https://openalex.org/W2147512299","https://openalex.org/W2147523783","https://openalex.org/W2293724770","https://openalex.org/W3016464806","https://openalex.org/W4240580737","https://openalex.org/W6635298588","https://openalex.org/W6673357430","https://openalex.org/W6677076812","https://openalex.org/W6696983430"],"related_works":["https://openalex.org/W1965338607","https://openalex.org/W2156333607","https://openalex.org/W2270503544","https://openalex.org/W4388321132","https://openalex.org/W3106086899","https://openalex.org/W2108051023","https://openalex.org/W2048127899","https://openalex.org/W2058505222","https://openalex.org/W1550743994","https://openalex.org/W2140205332"],"abstract_inverted_index":{"Most":[0],"of":[1,12,88,100],"low-rank":[2],"tensor":[3,14,29,55,105],"approximation":[4,16],"problems":[5],"are":[6,63,93],"NP-hard.":[7],"Hence":[8],"a":[9,48],"great":[10],"number":[11],"synthesis":[13],"decomposition":[15,56],"have":[17],"been":[18],"proposed.":[19],"In":[20],"this":[21],"paper,":[22],"we":[23],"instead":[24],"present":[25],"an":[26],"analysis-operator":[27],"guided":[28],"decomposition.":[30],"The":[31,60,79],"proposed":[32,80],"method":[33,81,90,102],"first":[34],"employs":[35],"the":[36,67,97],"classical":[37],"Field-of-Experts":[38],"(FoE)":[39],"filters":[40,73],"to":[41,95,103],"produce":[42],"multi-view":[43,61],"features":[44,62],"such":[45],"that":[46],"forming":[47],"higher-order":[49],"tensor,":[50],"and":[51,57,77],"then":[52],"do":[53],"simultaneous":[54],"completion":[58,106],"(STDC).":[59],"obtained":[64],"by":[65,85],"convolving":[66],"target":[68],"image":[69],"with":[70],"high-frequency":[71],"FoE":[72],"along":[74],"different":[75],"directions":[76],"scales.":[78],"is":[82],"solved":[83],"efficiently":[84],"alternating":[86],"direction":[87],"multipliers":[89],"(ADMM).":[91],"Experiments":[92],"conducted":[94],"demonstrate":[96],"superior":[98],"performance":[99],"our":[101],"state-of-the-art":[104],"methods.":[107]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}