{"id":"https://openalex.org/W4409441719","doi":"https://doi.org/10.1137/23m1626517","title":"Algebraic Sparse Factor Analysis","display_name":"Algebraic Sparse Factor Analysis","publication_year":2025,"publication_date":"2025-04-15","ids":{"openalex":"https://openalex.org/W4409441719","doi":"https://doi.org/10.1137/23m1626517"},"language":"en","primary_location":{"id":"doi:10.1137/23m1626517","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1626517","pdf_url":null,"source":{"id":"https://openalex.org/S2996807011","display_name":"SIAM Journal on Applied Algebra and Geometry","issn_l":"2470-6566","issn":["2470-6566"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Algebra and Geometry","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/A5037160280","display_name":"Mathias Drton","orcid":"https://orcid.org/0000-0001-5614-3025"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mathias Drton","raw_affiliation_strings":["Munich Center for Machine Learning and School of Computation, Information, and Technology, Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0001-5614-3025","affiliations":[{"raw_affiliation_string":"Munich Center for Machine Learning and School of Computation, Information, and Technology, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052170140","display_name":"Alexandros Grosdos","orcid":null},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexandros Grosdos","raw_affiliation_strings":["Institute of Mathematics, University of Augsburg, Augsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Augsburg, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075103063","display_name":"Irem Portakal","orcid":"https://orcid.org/0000-0003-3189-5217"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Irem Portakal","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Leipzig, Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I4210119712","https://openalex.org/I4210091327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044091058","display_name":"Nils Sturma","orcid":"https://orcid.org/0000-0001-8718-3935"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nils Sturma","raw_affiliation_strings":["Munich Center for Machine Learning and School of Computation, Information, and Technology, Technical University of Munich, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Munich Center for Machine Learning and School of Computation, Information, and Technology, Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9637,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70048309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":"2","first_page":"279","last_page":"309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9901000261306763,"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":0.9901000261306763,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9793000221252441,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5392275452613831},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.5301854014396667},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47786539793014526},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.389068603515625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3652766942977905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2780727744102478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12466791272163391},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12143167853355408}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5392275452613831},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.5301854014396667},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47786539793014526},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.389068603515625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3652766942977905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2780727744102478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12466791272163391},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12143167853355408}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/23m1626517","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1626517","pdf_url":null,"source":{"id":"https://openalex.org/S2996807011","display_name":"SIAM Journal on Applied Algebra and Geometry","issn_l":"2470-6566","issn":["2470-6566"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Algebra and Geometry","raw_type":"journal-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1779604","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1779604","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1784611","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1784611","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6988178308","display_name":null,"funder_award_id":"883818","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335337","display_name":"Elitenetzwerk Bayern","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W205445820","https://openalex.org/W391985582","https://openalex.org/W1829528753","https://openalex.org/W1965085721","https://openalex.org/W2008022725","https://openalex.org/W2008844891","https://openalex.org/W2030290173","https://openalex.org/W2040464112","https://openalex.org/W2044502250","https://openalex.org/W2073681337","https://openalex.org/W2084877431","https://openalex.org/W2088477804","https://openalex.org/W2118107530","https://openalex.org/W2133391651","https://openalex.org/W2145448521","https://openalex.org/W2164693112","https://openalex.org/W2225934353","https://openalex.org/W2963673163","https://openalex.org/W2963985952","https://openalex.org/W3039948875","https://openalex.org/W3049025113","https://openalex.org/W3049541739","https://openalex.org/W3099019541","https://openalex.org/W3104080258","https://openalex.org/W4233143201","https://openalex.org/W4240837394","https://openalex.org/W4244528936","https://openalex.org/W4253998683","https://openalex.org/W4298091299","https://openalex.org/W4299515571","https://openalex.org/W4312072425","https://openalex.org/W4366682198","https://openalex.org/W4380052707","https://openalex.org/W4392603119"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Factor":[0],"analysis":[1,64],"is":[2,31],"a":[3,17,51,90,112,122],"statistical":[4],"technique":[5],"that":[6,43,87],"explains":[7],"correlations":[8],"among":[9,98],"observed":[10,29,46],"random":[11],"variables":[12],"with":[13],"the":[14,54,74,79,82,99],"help":[15],"of":[16,20,53,81,84,128,131],"smaller":[18],"number":[19],"unobserved":[21],"factors.":[22,55],"In":[23,56,105],"traditional":[24],"full":[25],"factor":[26,63],"analysis,":[27],"each":[28,45],"variable":[30,47],"influenced":[32],"by":[33],"every":[34],"factor.":[35],"However,":[36],"many":[37],"applications":[38],"exhibit":[39],"interesting":[40],"sparsity":[41,75],"patterns;":[42],"is,":[44],"only":[48],"depends":[49],"on":[50,73],"subset":[52],"this":[57],"paper,":[58],"we":[59,77,94,107],"study":[60,95],"such":[61],"sparse":[62,102],"models":[65],"from":[66],"an":[67],"algebro-geometric":[68],"perspective.":[69],"Under":[70],"mild":[71],"conditions":[72],"pattern,":[76],"examine":[78],"dimension":[80],"set":[83],"covariance":[85],"matrices":[86],"corresponds":[88],"to":[89],"given":[91],"model.":[92],"Moreover,":[93],"algebraic":[96],"relations":[97,117],"covariances":[100],"in":[101,110],"two-factor":[103],"models.":[104],"particular,":[106],"identify":[108],"cases":[109],"which":[111],"Gr\u00f6bner":[113],"basis":[114],"for":[115],"these":[116],"can":[118],"be":[119],"derived":[120],"via":[121],"2-delightful":[123],"term":[124],"order":[125],"and":[126],"join":[127],"toric":[129],"ideals":[130],"graphs.":[132]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}