{"id":"https://openalex.org/W3098871729","doi":"https://doi.org/10.1109/tkde.2020.3037131","title":"Smooth Compact Tensor Ring Regression","display_name":"Smooth Compact Tensor Ring Regression","publication_year":2020,"publication_date":"2020-11-10","ids":{"openalex":"https://openalex.org/W3098871729","doi":"https://doi.org/10.1109/tkde.2020.3037131","mag":"3098871729"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2020.3037131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2020.3037131","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","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/A5031995512","display_name":"Jiani Liu","orcid":"https://orcid.org/0000-0003-0679-457X"},"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":"Jiani Liu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-0679-457X","affiliations":[{"raw_affiliation_string":"School of Information and Communication 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 Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0001-7607-707X","affiliations":[{"raw_affiliation_string":"School of Information and Communication 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 Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0003-2084-8781","affiliations":[{"raw_affiliation_string":"School of Information and Communication 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":3,"corresponding_author_ids":["https://openalex.org/A5031995512"],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":null,"apc_paid":null,"fwci":1.5523,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.82490752,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"9","first_page":"4439","last_page":"4452"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":1.0,"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":1.0,"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":0.9876999855041504,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6563687920570374},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5042284727096558},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.49964213371276855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4640779495239258},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.454543799161911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3891136944293976},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37846314907073975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3282690644264221},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14003601670265198},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09461989998817444}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6563687920570374},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5042284727096558},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.49964213371276855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4640779495239258},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.454543799161911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3891136944293976},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37846314907073975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3282690644264221},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14003601670265198},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09461989998817444},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2020.3037131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2020.3037131","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3332268393","display_name":null,"funder_award_id":"U19A2052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5962431186","display_name":null,"funder_award_id":"62020106011","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":67,"referenced_works":["https://openalex.org/W1507517302","https://openalex.org/W1532814032","https://openalex.org/W1580176742","https://openalex.org/W1878057855","https://openalex.org/W1944540851","https://openalex.org/W1964486052","https://openalex.org/W1967696752","https://openalex.org/W1970176196","https://openalex.org/W2006277118","https://openalex.org/W2008926977","https://openalex.org/W2009482425","https://openalex.org/W2030628896","https://openalex.org/W2031216664","https://openalex.org/W2033368244","https://openalex.org/W2095906131","https://openalex.org/W2103367708","https://openalex.org/W2119412403","https://openalex.org/W2119883478","https://openalex.org/W2136002544","https://openalex.org/W2160791191","https://openalex.org/W2164278908","https://openalex.org/W2169075713","https://openalex.org/W2295513804","https://openalex.org/W2295966731","https://openalex.org/W2332218542","https://openalex.org/W2543667244","https://openalex.org/W2569250433","https://openalex.org/W2591263026","https://openalex.org/W2605190428","https://openalex.org/W2632423299","https://openalex.org/W2759880437","https://openalex.org/W2805127664","https://openalex.org/W2890497143","https://openalex.org/W2906905608","https://openalex.org/W2906988372","https://openalex.org/W2942440950","https://openalex.org/W2946151451","https://openalex.org/W2950506692","https://openalex.org/W2954228910","https://openalex.org/W2962766718","https://openalex.org/W2963615402","https://openalex.org/W2963885538","https://openalex.org/W2963928805","https://openalex.org/W2964179170","https://openalex.org/W2964229782","https://openalex.org/W2969190818","https://openalex.org/W2989870471","https://openalex.org/W2990287783","https://openalex.org/W3006217815","https://openalex.org/W3046524702","https://openalex.org/W3089008461","https://openalex.org/W3099910538","https://openalex.org/W3102581530","https://openalex.org/W3106141888","https://openalex.org/W4388411486","https://openalex.org/W6603456955","https://openalex.org/W6631138648","https://openalex.org/W6679272984","https://openalex.org/W6679363028","https://openalex.org/W6710575211","https://openalex.org/W6720207886","https://openalex.org/W6729745744","https://openalex.org/W6733910226","https://openalex.org/W6744798215","https://openalex.org/W6754934763","https://openalex.org/W6767036846","https://openalex.org/W6773521587"],"related_works":["https://openalex.org/W2569661359","https://openalex.org/W2781510240","https://openalex.org/W2950186459","https://openalex.org/W2170114491","https://openalex.org/W2897298721","https://openalex.org/W2242624680","https://openalex.org/W2136127937","https://openalex.org/W2216309014","https://openalex.org/W4290987221","https://openalex.org/W3199841771"],"abstract_inverted_index":{"In":[0],"learning":[1,109],"tasks":[2],"with":[3,55],"high":[4],"order":[5],"correlations,":[6],"the":[7,11,46,69,100,108,113,117,129,133,141,149,154,160,165,170],"low-rank":[8],"approximation":[9,87],"of":[10,88,132,144,169],"regression":[12,53],"coefficient":[13],"tensor":[14,27,52,64,101,161],"has":[15],"become":[16],"increasingly":[17],"important.":[18],"Tensor":[19],"ring":[20,65,102,162],"can":[21,104,157],"capture":[22,183],"more":[23],"correlation":[24],"information":[25],"among":[26],"networks.":[28],"However,":[29],"its":[30],"optimal":[31],"rank":[32,66,103],"is":[33,78,125,137,173],"generally":[34],"unknown":[35],"and":[36,116,164,167],"needs":[37],"to":[38,81,84,111,127],"be":[39,82,105],"tuned":[40],"from":[41],"multiple":[42],"combinations.":[43],"To":[44],"address":[45],"issue,":[47],"we":[48],"propose":[49],"a":[50,56,85,121,177],"novel":[51],"framework":[54],"group":[57,71],"sparsity":[58,72],"constraint":[59],"on":[60,148,176],"latent":[61],"factors":[62],"for":[63,139,180],"estimation.":[67],"Specifically,":[68],"proposed":[70,155,171],"term":[73,124],"constrained":[74],"matrix":[75,89],"factorization":[76],"problem":[77],"first":[79],"shown":[80],"equivalent":[83],"better":[86],"rank,":[90,163],"namely":[91],"Schatten-":[92],"<inline-formula><tex-math":[93],"notation=\"LaTeX\">$1/2$</tex-math></inline-formula>":[94],"quasi-norm.":[95],"Extending":[96],"it":[97],"into":[98],"tensor,":[99],"inferred":[106],"during":[107],"process":[110],"balance":[112],"prediction":[114],"error":[115],"model":[118],"complexity.":[119],"Besides,":[120],"total":[122],"variation":[123],"introduced":[126],"enhance":[128],"local":[130],"consistency":[131],"predicted":[134],"response,":[135],"which":[136],"useful":[138],"reducing":[140],"adverse":[142],"effects":[143],"random":[145],"noise.":[146],"Experiments":[147],"simulation":[150],"dataset":[151,179],"show":[152],"that":[153],"method":[156],"exactly":[158],"obtain":[159],"effectiveness":[166],"robustness":[168],"algorithm":[172],"further":[174],"verified":[175],"real":[178],"human":[181],"motion":[182],"tasks.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}