{"id":"https://openalex.org/W7169107375","doi":"https://doi.org/10.1109/access.2026.3714361","title":"Low-Rank Tensor Ring Alternating Least Squares With Tikhonov Regularization for Image Completion","display_name":"Low-Rank Tensor Ring Alternating Least Squares With Tikhonov Regularization for Image Completion","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7169107375","doi":"https://doi.org/10.1109/access.2026.3714361"},"language":"en","primary_location":{"id":"doi:10.1109/access.2026.3714361","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3714361","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2026.3714361","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043412314","display_name":"Jung-Chun Chi","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jung-Chun Chi","raw_affiliation_strings":["National Tsing Hua University"],"raw_orcid":"https://orcid.org/0009-0002-4942-0949","affiliations":[{"raw_affiliation_string":"National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042192182","display_name":"Chiao-En Chen","orcid":"https://orcid.org/0000-0002-2150-4094"},"institutions":[{"id":"https://openalex.org/I162838928","display_name":"National Chung Hsing University","ror":"https://ror.org/05vn3ca78","country_code":"TW","type":"education","lineage":["https://openalex.org/I162838928"]},{"id":"https://openalex.org/I99613584","display_name":"National Taipei University","ror":"https://ror.org/03e29r284","country_code":"TW","type":"education","lineage":["https://openalex.org/I99613584"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chiao-En Chen","raw_affiliation_strings":["National Chung Hsing University"],"raw_orcid":"https://orcid.org/0000-0002-2150-4094","affiliations":[{"raw_affiliation_string":"National Chung Hsing University","institution_ids":["https://openalex.org/I162838928","https://openalex.org/I99613584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029106788","display_name":"Yuan-Hao Huang","orcid":"https://orcid.org/0000-0001-6781-7312"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yuan-Hao Huang","raw_affiliation_strings":["National Tsing Hua University"],"raw_orcid":"https://orcid.org/0000-0001-6781-7312","affiliations":[{"raw_affiliation_string":"National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2075,"currency":"USD","value_usd":2075},"apc_paid":{"value":2075,"currency":"USD","value_usd":2075},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.74324324,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":null,"first_page":"110158","last_page":"110170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.21879999339580536,"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":0.21879999339580536,"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":0.1687999963760376,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.14920000731945038,"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/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.7821999788284302},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5508000254631042},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.48170000314712524},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.46480000019073486},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.44200000166893005},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.44020000100135803},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4194999933242798},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.39590001106262207}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.7821999788284302},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5508000254631042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49470001459121704},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.48170000314712524},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.46480000019073486},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.44200000166893005},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.44020000100135803},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4194999933242798},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4180999994277954},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.39590001106262207},{"id":"https://openalex.org/C2778459887","wikidata":"https://www.wikidata.org/wiki/Q6787865","display_name":"Matrix completion","level":3,"score":0.37389999628067017},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.36719998717308044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3125999867916107},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.2939000129699707},{"id":"https://openalex.org/C126090379","wikidata":"https://www.wikidata.org/wiki/Q6094424","display_name":"Iteratively reweighted least squares","level":4,"score":0.2939000129699707},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.29159998893737793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2913999855518341},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.2849999964237213},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2800000011920929},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26600000262260437},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C2779538338","wikidata":"https://www.wikidata.org/wiki/Q2990590","display_name":"Completion (oil and gas wells)","level":2,"score":0.2587999999523163}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2026.3714361","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3714361","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d81b495dc5c94b3ebbbe0df60f3add07","is_oa":false,"landing_page_url":"https://doaj.org/article/d81b495dc5c94b3ebbbe0df60f3add07","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 14, Pp 110158-110170 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2026.3714361","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3714361","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Tensor":[0],"decomposition":[1],"has":[2,20],"become":[3],"an":[4],"important":[5],"technology":[6],"for":[7,156],"recovering":[8],"missing":[9,111],"information":[10],"in":[11,116,146],"high-dimensional":[12],"image":[13],"and":[14,32,71,107,125,140,158],"video":[15],"data.":[16],"Alternatively,":[17],"spatial":[18,49],"regularization":[19,50,87,95],"been":[21,53],"incorporated":[22],"into":[23,56,96],"tensor":[24,29,33,80],"models":[25],"such":[26],"as":[27],"Tucker,":[28],"train":[30],"(TT),":[31],"ring":[34,81],"(TR).":[35],"Existing":[36],"alternating":[37,82],"least":[38,83],"squares":[39,84],"(ALS)":[40],"algorithms":[41],"are":[42],"efficient":[43],"but":[44],"generally":[45],"lack":[46],"regularization.":[47],"Although":[48],"techniques":[51],"have":[52],"successfully":[54],"integrated":[55],"ALS-based":[57],"TT,":[58],"extending":[59],"this":[60],"strategy":[61],"to":[62,135,143],"TR":[63],"remains":[64],"unsolved":[65],"because":[66],"of":[67,100,137,154],"the":[68,72,97,101,132,138,152],"circular":[69],"structure":[70],"additional":[73],"trace":[74],"operation.":[75],"This":[76],"paper":[77],"proposes":[78],"a":[79,90],"with":[85],"Tikhonov":[86,94],"subproblem":[88],"(TRATR),":[89],"framework":[91],"that":[92],"incorporates":[93],"core-wise":[98],"update":[99,147],"TR-ALS.":[102],"Extensive":[103],"experiments":[104],"on":[105],"images":[106],"videos":[108],"under":[109],"different":[110],"rates":[112],"demonstrate":[113],"consistent":[114],"improvements":[115],"relative":[117],"standard":[118],"error":[119],"(RSE),":[120],"peak":[121],"signal-to-noise":[122],"ratio":[123],"(PSNR),":[124],"structural":[126],"similarity":[127],"index":[128],"(SSIM),":[129],"while":[130],"reducing":[131],"required":[133],"rank":[134,139],"63.6%":[136],"yielding":[141],"up":[142],"83.6%":[144],"reduction":[145],"complexity.":[148],"These":[149],"results":[150],"highlight":[151],"potential":[153],"TRATR":[155],"large-scale":[157],"resource-constrained":[159],"applications.":[160]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-07-17T00:00:00"}
