{"id":"https://openalex.org/W3033149838","doi":"https://doi.org/10.1109/access.2020.3018593","title":"Sparse Cholesky Covariance Parametrization for Recovering Latent Structure in Ordered Data","display_name":"Sparse Cholesky Covariance Parametrization for Recovering Latent Structure in Ordered Data","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3033149838","doi":"https://doi.org/10.1109/access.2020.3018593","mag":"3033149838"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3018593","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3018593","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09173666.pdf","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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09173666.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112455950","display_name":"Irene C\u00f3rdoba","orcid":null},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Irene Cordoba","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010920098","display_name":"Concha Bielza","orcid":"https://orcid.org/0000-0001-7109-2668"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Concha Bielza","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049812833","display_name":"Pedro Larra\u00f1aga","orcid":"https://orcid.org/0000-0003-0652-9872"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Larranaga","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032347395","display_name":"Gherardo Varando","orcid":"https://orcid.org/0000-0002-6708-1103"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Gherardo Varando","raw_affiliation_strings":["University of Copenhagen, K\u00f8benhavn, Denmark"],"affiliations":[{"raw_affiliation_string":"University of Copenhagen, K\u00f8benhavn, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112455950"],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.2719,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63437448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":null,"first_page":"154614","last_page":"154624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10136","display_name":"Statistical Methods and Inference","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9034284353256226},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.7452250719070435},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.7272458672523499},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5642314553260803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39855319261550903},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37444061040878296},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3628062605857849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3069559931755066},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1368473470211029},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08779233694076538}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9034284353256226},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.7452250719070435},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.7272458672523499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5642314553260803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39855319261550903},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37444061040878296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3628062605857849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3069559931755066},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1368473470211029},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08779233694076538},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/access.2020.3018593","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3018593","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09173666.pdf","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:arXiv.org:2006.01448","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.01448","pdf_url":"https://arxiv.org/pdf/2006.01448","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:d8e0d35f307f41d3a2d5d72c48621c25","is_oa":true,"landing_page_url":"https://doaj.org/article/d8e0d35f307f41d3a2d5d72c48621c25","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 154614-154624 (2020)","raw_type":"article"},{"id":"pmh:oai:oa.upm.es:72693","is_oa":true,"landing_page_url":"https://oa.upm.es/72693/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196323","display_name":"UPM Digital Archive (Technical University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, ISSN 2169-3536, 2020, Vol. 8","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/ac20bc0e-3303-4955-a67c-7d6a29af0c45","is_oa":true,"landing_page_url":"https://curis.ku.dk/portal/da/publications/sparse-cholesky-covariance-parametrization-for-recovering-latent-structure-in-ordered-data(ac20bc0e-3303-4955-a67c-7d6a29af0c45).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/ac20bc0e-3303-4955-a67c-7d6a29af0c45","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/ac20bc0e-3303-4955-a67c-7d6a29af0c45","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cordoba , I , Bielza , C , Larranaga , P & Varando , G 2020 , ' Sparse Cholesky Covariance Parametrization for Recovering Latent Structure in Ordered Data ' , IEEE Access , vol. 8 , pp. 154614-154624 . https://doi.org/10.1109/ACCESS.2020.3018593","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3018593","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3018593","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09173666.pdf","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7599999904632568}],"awards":[{"id":"https://openalex.org/G1229973854","display_name":null,"funder_award_id":"13358","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G4514550984","display_name":null,"funder_award_id":"FPU15/03797","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G469618897","display_name":null,"funder_award_id":"PID2019-109247GB-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5555131222","display_name":null,"funder_award_id":"PID2019","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6662746827","display_name":null,"funder_award_id":"FPU15","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3033149838.pdf","grobid_xml":"https://content.openalex.org/works/W3033149838.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W30853191","https://openalex.org/W102368363","https://openalex.org/W340056678","https://openalex.org/W1964356176","https://openalex.org/W1972337487","https://openalex.org/W1974105260","https://openalex.org/W1987368804","https://openalex.org/W1995436190","https://openalex.org/W2007738694","https://openalex.org/W2011523140","https://openalex.org/W2038711071","https://openalex.org/W2043607375","https://openalex.org/W2044600950","https://openalex.org/W2055509010","https://openalex.org/W2059606882","https://openalex.org/W2063698478","https://openalex.org/W2067567045","https://openalex.org/W2081746825","https://openalex.org/W2093545205","https://openalex.org/W2132555912","https://openalex.org/W2160306985","https://openalex.org/W2296319761","https://openalex.org/W2579294630","https://openalex.org/W2582743722","https://openalex.org/W2595142274","https://openalex.org/W2763292376","https://openalex.org/W2798011843","https://openalex.org/W2889900103","https://openalex.org/W2907768713","https://openalex.org/W2908623690","https://openalex.org/W2946558371","https://openalex.org/W2952369555","https://openalex.org/W2964282423","https://openalex.org/W2972071922","https://openalex.org/W2975015986","https://openalex.org/W3017924293","https://openalex.org/W3027871065","https://openalex.org/W3028202344","https://openalex.org/W3090933778","https://openalex.org/W3098335816","https://openalex.org/W3103917751","https://openalex.org/W3106319742","https://openalex.org/W3120740533","https://openalex.org/W4205213118","https://openalex.org/W4213099427","https://openalex.org/W4230727635","https://openalex.org/W4231984963","https://openalex.org/W4232798234","https://openalex.org/W4238253035","https://openalex.org/W4247571494","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4411392672","https://openalex.org/W6604202627","https://openalex.org/W6754506371","https://openalex.org/W6777276865","https://openalex.org/W6777578111"],"related_works":["https://openalex.org/W2403987929","https://openalex.org/W2039814159","https://openalex.org/W2374847384","https://openalex.org/W2063512590","https://openalex.org/W2107649022","https://openalex.org/W2356488190","https://openalex.org/W2966537581","https://openalex.org/W2079508979","https://openalex.org/W1970284238","https://openalex.org/W2110484224"],"abstract_inverted_index":{"The":[0,117],"sparse":[1,121],"Cholesky":[2,20,64,125],"parametrization":[3],"of":[4,66,119,164],"the":[5,18,63,94,113,124,152,159,165],"inverse":[6],"covariance":[7,19,68],"matrix":[8,107],"is":[9,91,104,168],"directly":[10],"related":[11],"to":[12,85,112],"Gaussian":[13,82],"Bayesian":[14,83],"networks.":[15],"Its":[16],"counterpart,":[17],"factorization":[21],"model,":[22],"has":[23,39],"a":[24,28,67,99,134,147],"natural":[25,148],"interpretation":[26],"as":[27,110,137,139],"hidden":[29],"variable":[30],"model":[31,122],"for":[32,123,171],"ordered":[33,95],"signal":[34],"data.":[35],"Despite":[36],"this,":[37],"it":[38],"received":[40],"little":[41],"attention":[42],"so":[43],"far,":[44],"with":[45,81,128],"few":[46],"notable":[47],"exceptions.":[48],"To":[49],"fill":[50],"this":[51,54,120],"gap,":[52],"in":[53,62,79,133],"paper":[55],"we":[56,97],"focus":[57],"on":[58,106,158],"arbitrary":[59],"zero":[60],"patterns":[61],"factor":[65],"matrix.":[69],"We":[70,154],"discuss":[71],"how":[72],"these":[73],"models":[74],"can":[75],"also":[76],"be":[77],"extended,":[78],"analogy":[80],"networks,":[84],"data":[86,145],"where":[87,146],"no":[88],"apparent":[89],"order":[90],"available.":[92],"For":[93],"scenario,":[96],"propose":[98],"novel":[100,130],"estimation":[101],"method":[102],"that":[103],"based":[105,157],"loss":[108],"penalization,":[109],"opposed":[111],"existing":[114],"regression-based":[115],"approaches.":[116],"performance":[118],"factor,":[126],"together":[127],"our":[129],"estimator,is":[131],"assessed":[132],"simulation":[135],"setting,":[136],"well":[138],"over":[140],"spatial":[141],"and":[142],"temporal":[143],"real":[144],"ordering":[149],"arises":[150],"among":[151],"variables.":[153],"give":[155],"guidelines,":[156],"empirical":[160],"results,":[161],"about":[162],"which":[163],"methods":[166],"analysed":[167],"more":[169],"appropriate":[170],"each":[172],"setting.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
