{"id":"https://openalex.org/W4389474403","doi":"https://doi.org/10.1109/mmsp59012.2023.10337728","title":"Optimal Low-Rank Tensor Tree Completion","display_name":"Optimal Low-Rank Tensor Tree Completion","publication_year":2023,"publication_date":"2023-09-27","ids":{"openalex":"https://openalex.org/W4389474403","doi":"https://doi.org/10.1109/mmsp59012.2023.10337728"},"language":"en","primary_location":{"id":"doi:10.1109/mmsp59012.2023.10337728","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/mmsp59012.2023.10337728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 25th International Workshop on Multimedia Signal Processing (MMSP)","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/A5100672512","display_name":"Zihan Li","orcid":"https://orcid.org/0000-0003-3516-4892"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zihan Li","raw_affiliation_strings":["School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034427070","display_name":"Ce Zhu","orcid":"https://orcid.org/0000-0001-7607-707X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ce Zhu","raw_affiliation_strings":["School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101922422","display_name":"Zhen Long","orcid":"https://orcid.org/0000-0002-1772-916X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Long","raw_affiliation_strings":["School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100610065","display_name":"Yipeng Liu","orcid":"https://orcid.org/0000-0003-2084-8781"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yipeng Liu","raw_affiliation_strings":["School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC),Chengdu,China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100672512"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1678744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9959999918937683,"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"}},{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9955999851226807,"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":0.6262192726135254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5998798608779907},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5447739362716675},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5323385000228882},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.49172738194465637},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.47406548261642456},{"id":"https://openalex.org/keywords/structure-tensor","display_name":"Structure tensor","score":0.44717758893966675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4459896981716156},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.4397154152393341},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4286792278289795},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.41535407304763794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3891175389289856},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3713425397872925},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3538334369659424},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.19554218649864197},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.12452128529548645},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08476728200912476}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6262192726135254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5998798608779907},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5447739362716675},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5323385000228882},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.49172738194465637},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.47406548261642456},{"id":"https://openalex.org/C113315163","wikidata":"https://www.wikidata.org/wiki/Q7625159","display_name":"Structure tensor","level":3,"score":0.44717758893966675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4459896981716156},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.4397154152393341},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4286792278289795},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.41535407304763794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3891175389289856},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3713425397872925},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3538334369659424},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.19554218649864197},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.12452128529548645},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08476728200912476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmsp59012.2023.10337728","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/mmsp59012.2023.10337728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 25th International Workshop on Multimedia Signal Processing (MMSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3741542417","display_name":null,"funder_award_id":"ZYGX2021YGLH215,ZYGX2022YGRH005","funder_id":"https://openalex.org/F4320323292","funder_display_name":"University of Electronic Science and Technology of China"},{"id":"https://openalex.org/G7975450677","display_name":null,"funder_award_id":"U19A2052,62020106011,62171088","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"},{"id":"https://openalex.org/F4320323292","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W966126569","https://openalex.org/W1968080575","https://openalex.org/W1999136078","https://openalex.org/W2024165284","https://openalex.org/W2081962379","https://openalex.org/W2088025933","https://openalex.org/W2091449379","https://openalex.org/W2103559027","https://openalex.org/W2103972604","https://openalex.org/W2412278696","https://openalex.org/W2605190428","https://openalex.org/W2785632152","https://openalex.org/W2884847196","https://openalex.org/W2892336178","https://openalex.org/W2963328634","https://openalex.org/W2963928805","https://openalex.org/W2964146769","https://openalex.org/W2971036085","https://openalex.org/W3026440734","https://openalex.org/W3038214644","https://openalex.org/W3098871729","https://openalex.org/W3135385719","https://openalex.org/W4205793477","https://openalex.org/W4244493851","https://openalex.org/W4292363360","https://openalex.org/W4308181071","https://openalex.org/W4318477526","https://openalex.org/W4323273880","https://openalex.org/W4380607122","https://openalex.org/W6747661546"],"related_works":["https://openalex.org/W2950186459","https://openalex.org/W2170114491","https://openalex.org/W2897298721","https://openalex.org/W2242624680","https://openalex.org/W2136127937","https://openalex.org/W4290987221","https://openalex.org/W89301254","https://openalex.org/W2623954137","https://openalex.org/W2535084101","https://openalex.org/W2216309014"],"abstract_inverted_index":{"Tensor":[0,13],"completion":[1,92],"is":[2,43,116],"a":[3,17],"powerful":[4],"technique":[5],"for":[6,24],"recovering":[7],"missing":[8],"entries":[9],"from":[10],"partial":[11],"observations.":[12],"tree":[14,77,91,99],"network,":[15,78],"with":[16],"hierarchical":[18],"structure,":[19],"has":[20],"gained":[21],"widespread":[22],"attention":[23],"its":[25,81],"ability":[26],"to":[27,51,61,68,118],"balance":[28],"and":[29,104,128],"effectively":[30],"explore":[31],"the":[32,38,46,63,70,75,95,120],"correlations":[33],"in":[34,53,139],"high-order":[35],"data.":[36],"However,":[37],"performance":[39],"of":[40,48,65,114,141],"tensor":[41,76,90,98],"trees":[42],"influenced":[44],"by":[45],"order":[47,73],"modes,":[49],"leading":[50],"variations":[52],"their":[54],"effectiveness.":[55],"To":[56],"address":[57],"this,":[58],"we":[59],"propose":[60],"minimize":[62],"loss":[64],"entanglement":[66],"entropy":[67],"determine":[69],"optimal":[71,88,96],"mode":[72],"within":[74],"thereby":[79],"optimizing":[80],"representation":[82],"performance.":[83,143],"We":[84],"correspondingly":[85],"construct":[86],"an":[87],"low-rank":[89,97],"model,":[93],"where":[94],"network":[100],"captures":[101],"global":[102],"structures":[103],"total":[105],"variation":[106],"investigates":[107],"local":[108],"structures.":[109],"The":[110],"alternating":[111],"direction":[112],"method":[113,135],"multipliers":[115],"employed":[117],"solve":[119],"optimization":[121],"problem.":[122],"Experimental":[123],"results":[124],"on":[125],"color":[126],"images":[127,131],"light":[129],"field":[130],"demonstrate":[132],"that":[133],"our":[134],"outperforms":[136],"state-of-the-art":[137],"algorithms":[138],"terms":[140],"recovery":[142]},"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}
