{"id":"https://openalex.org/W4382365314","doi":"https://doi.org/10.1109/tip.2023.3289064","title":"An Algorithm for Learning Orthonormal Matrix Codebooks for Adaptive Transform Coding","display_name":"An Algorithm for Learning Orthonormal Matrix Codebooks for Adaptive Transform Coding","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4382365314","doi":"https://doi.org/10.1109/tip.2023.3289064","pmid":"https://pubmed.ncbi.nlm.nih.gov/37379185"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2023.3289064","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2202.12364","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076071693","display_name":"Rashmi Boragolla","orcid":"https://orcid.org/0000-0001-7212-4887"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Rashmi Boragolla","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Manitoba 75 Chancellors Circle, Winnipeg MB R3T 2N2, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Manitoba 75 Chancellors Circle, Winnipeg MB R3T 2N2, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024985986","display_name":"Pradeepa Yahampath","orcid":"https://orcid.org/0000-0001-8495-1310"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Pradeepa Yahampath","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Manitoba 75 Chancellors Circle, Winnipeg MB R3T 2N2, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Manitoba 75 Chancellors Circle, Winnipeg MB R3T 2N2, Canada","institution_ids":["https://openalex.org/I46247651"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024985986"],"corresponding_institution_ids":["https://openalex.org/I46247651"],"apc_list":null,"apc_paid":null,"fwci":0.274,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.556134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":67,"max":78},"biblio":{"volume":"32","issue":null,"first_page":"3650","last_page":"3663"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9996,"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"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9996,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9988,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9986,"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/orthonormality","display_name":"Orthonormality","score":0.69764495},{"id":"https://openalex.org/keywords/stiefel-manifold","display_name":"Stiefel manifold","score":0.58350956},{"id":"https://openalex.org/keywords/s-transform","display_name":"S transform","score":0.44422027}],"concepts":[{"id":"https://openalex.org/C92951342","wikidata":"https://www.wikidata.org/wiki/Q1411166","display_name":"Orthonormality","level":3,"score":0.69764495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.67976624},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.6191412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.60518533},{"id":"https://openalex.org/C612670","wikidata":"https://www.wikidata.org/wiki/Q7616373","display_name":"Stiefel manifold","level":2,"score":0.58350956},{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.44422027},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38754004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2845077},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.26935393},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25052726},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.15861979},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2023.3289064","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2202.12364","pdf_url":"https://arxiv.org/pdf/2202.12364","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://doi.org/10.36227/techrxiv.22055771","pdf_url":"https://www.techrxiv.org/articles/preprint/An_Algorithm_for_Learning_Orthonormal_Matrix_Codebooks_for_Adaptive_Transform_Coding/22055771/1/files/39156593.pdf","source":null,"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://figshare.com/articles/preprint/An_Algorithm_for_Learning_Orthonormal_Matrix_Codebooks_for_Adaptive_Transform_Coding/22055771","pdf_url":"https://figshare.com/articles/preprint/An_Algorithm_for_Learning_Orthonormal_Matrix_Codebooks_for_Adaptive_Transform_Coding/22055771/1/files/39156593.pdf","source":{"id":"https://openalex.org/S4306400572","display_name":"OPAL (Open@LaTrobe) (La Trobe University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I196829312","host_organization_name":"La Trobe University","host_organization_lineage":["https://openalex.org/I196829312"],"host_organization_lineage_names":["La Trobe University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37379185","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2202.12364","pdf_url":"https://arxiv.org/pdf/2202.12364","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320311952","funder_display_name":"University of Manitoba","award_id":null},{"funder":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada","award_id":null}],"datasets":[],"versions":[],"referenced_works_count":43,"referenced_works":["https://openalex.org/W1634005169","https://openalex.org/W1861851699","https://openalex.org/W1916685473","https://openalex.org/W1966160594","https://openalex.org/W1979725798","https://openalex.org/W1984451638","https://openalex.org/W1992249355","https://openalex.org/W2000193445","https://openalex.org/W2026986236","https://openalex.org/W2043144513","https://openalex.org/W2048534515","https://openalex.org/W2050174246","https://openalex.org/W2051911829","https://openalex.org/W2062406823","https://openalex.org/W2107200220","https://openalex.org/W2114396644","https://openalex.org/W2122398530","https://openalex.org/W2125241475","https://openalex.org/W2127045331","https://openalex.org/W2127295759","https://openalex.org/W2129831591","https://openalex.org/W2131247935","https://openalex.org/W2133833176","https://openalex.org/W2135353134","https://openalex.org/W2137001840","https://openalex.org/W2141388400","https://openalex.org/W2146028109","https://openalex.org/W2156529323","https://openalex.org/W2162096028","https://openalex.org/W2166816543","https://openalex.org/W2241147999","https://openalex.org/W2411061461","https://openalex.org/W2478708596","https://openalex.org/W2511584835","https://openalex.org/W2612958211","https://openalex.org/W2790638232","https://openalex.org/W3086274431","https://openalex.org/W3088505943","https://openalex.org/W3152708635","https://openalex.org/W4212783130","https://openalex.org/W4231176797","https://openalex.org/W4242209908","https://openalex.org/W4283815753"],"related_works":["https://openalex.org/W4382365314","https://openalex.org/W4320914545","https://openalex.org/W4288111621","https://openalex.org/W2996806449","https://openalex.org/W2972449673","https://openalex.org/W2057203930","https://openalex.org/W2044688039","https://openalex.org/W1977906291","https://openalex.org/W1521820367","https://openalex.org/W1521148900"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,166],"novel":[4],"data-driven":[5],"approach":[6],"to":[7,32,52,57,106,130,135],"designing":[8],"orthonormal":[9,59],"transform":[10,15,50,60,74,147],"matrix":[11,61,91],"codebooks":[12],"for":[13,49,118,145],"adaptive":[14,146],"coding":[16,72,148],"of":[17,35,67,73,149,168],"any":[18],"non-stationary":[19],"vector":[20],"processes":[21],"which":[22,30],"can":[23],"be":[24],"considered":[25],"locally":[26],"stationary.":[27],"Our":[28],"algorithm,":[29],"belongs":[31],"the":[33,58,62,86,90,100,111,124,158,162,175],"class":[34],"block-coordinate":[36],"descent":[37],"algorithms,":[38],"relies":[39],"on":[40,89,110,121],"simple":[41],"probability":[42],"models":[43],"such":[44,81],"as":[45],"Gaussian":[46],"or":[47],"Laplacian":[48],"coefficients":[51],"directly":[53,128],"minimize":[54],"with":[55],"respect":[56],"mean":[63],"square":[64],"error":[65],"(MSE)":[66],"scalar":[68],"quantization":[69],"and":[70,114,152,165],"entropy":[71],"coefficients.":[75],"A":[76],"difficulty":[77,97],"commonly":[78],"encountered":[79],"in":[80,103,174],"minimization":[82],"problems":[83],"is":[84,138],"imposing":[85],"orthonormality":[87],"constraint":[88],"solution.":[92],"We":[93,141],"get":[94],"around":[95],"this":[96],"by":[98],"mapping":[99],"constrained":[101],"problem":[102,109],"Euclidean":[104],"space":[105],"an":[107,133],"unconstrained":[108,119],"Stiefel":[112],"manifold":[113],"leveraging":[115],"known":[116],"algorithms":[117],"optimization":[120],"manifolds.":[122],"While":[123],"basic":[125],"design":[126],"algorithm":[127],"applies":[129],"non-separable":[131],"transforms,":[132],"extension":[134],"separable":[136],"transforms":[137,159,171],"also":[139],"proposed.":[140],"present":[142],"experimental":[143],"results":[144],"still":[150],"images":[151],"video":[153],"inter-frame":[154],"prediction":[155],"residuals,":[156],"comparing":[157],"designed":[160],"using":[161],"proposed":[163],"method":[164],"number":[167],"other":[169],"content-adaptive":[170],"recently":[172],"reported":[173],"literature.":[176]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4382365314","counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-01-07T16:08:08.305231","created_date":"2023-06-29"}