{"id":"https://openalex.org/W4392903049","doi":"https://doi.org/10.1109/icassp48485.2024.10446164","title":"Matrix Factorization in Tropical and Mixed Tropical-Linear Algebras","display_name":"Matrix Factorization in Tropical and Mixed Tropical-Linear Algebras","publication_year":2024,"publication_date":"2024-03-18","ids":{"openalex":"https://openalex.org/W4392903049","doi":"https://doi.org/10.1109/icassp48485.2024.10446164"},"language":"en","primary_location":{"id":"doi:10.1109/icassp48485.2024.10446164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp48485.2024.10446164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5086148158","display_name":"Ioannis Kordonis","orcid":"https://orcid.org/0000-0002-8463-5702"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Ioannis Kordonis","raw_affiliation_strings":["National Technical University of Athens,School of Electrical and Computer Engineering,Greece","School of Electrical and Computer Engineering, National Technical University of Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Technical University of Athens,School of Electrical and Computer Engineering,Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075898065","display_name":"Emmanouil Theodosis","orcid":"https://orcid.org/0000-0002-9275-2271"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emmanouil Theodosis","raw_affiliation_strings":["Harvard University,School of Engineering and Applied Sciences,Cambridge,MA,02138"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harvard University,School of Engineering and Applied Sciences,Cambridge,MA,02138","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021130742","display_name":"George Retsinas","orcid":"https://orcid.org/0000-0001-6734-3575"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"George Retsinas","raw_affiliation_strings":["National Technical University of Athens,School of Electrical and Computer Engineering,Greece","School of Electrical and Computer Engineering, National Technical University of Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Technical University of Athens,School of Electrical and Computer Engineering,Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079243420","display_name":"Petros Maragos","orcid":"https://orcid.org/0000-0003-0534-2707"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Petros Maragos","raw_affiliation_strings":["National Technical University of Athens,School of Electrical and Computer Engineering,Greece","School of Electrical and Computer Engineering, National Technical University of Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Technical University of Athens,School of Electrical and Computer Engineering,Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04338765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"6090","last_page":"6094"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9962999820709229,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/matrix-decomposition","display_name":"Matrix decomposition","score":0.7793492078781128},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6216846704483032},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5925841927528381},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.5522468090057373},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5398662686347961},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5217755436897278},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5032903552055359},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.48311352729797363},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4566482901573181},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.45372486114501953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36645668745040894},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3391091227531433},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3346274793148041},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16075319051742554}],"concepts":[{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.7793492078781128},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6216846704483032},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5925841927528381},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.5522468090057373},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5398662686347961},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5217755436897278},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5032903552055359},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.48311352729797363},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4566482901573181},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.45372486114501953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36645668745040894},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3391091227531433},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3346274793148041},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16075319051742554},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp48485.2024.10446164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp48485.2024.10446164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327859","display_name":"Hellenic Foundation for Research and Innovation","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W341186930","https://openalex.org/W1972221945","https://openalex.org/W1998867519","https://openalex.org/W2090447225","https://openalex.org/W2098387585","https://openalex.org/W2219888463","https://openalex.org/W2327497498","https://openalex.org/W2512031891","https://openalex.org/W2740287343","https://openalex.org/W2749573948","https://openalex.org/W2772283936","https://openalex.org/W2996590291","https://openalex.org/W3015964097","https://openalex.org/W3111865840","https://openalex.org/W3130349476","https://openalex.org/W3148563252","https://openalex.org/W3183638647","https://openalex.org/W3195244283","https://openalex.org/W3200172637","https://openalex.org/W4254492702","https://openalex.org/W4285579285","https://openalex.org/W4293097209","https://openalex.org/W4320350973","https://openalex.org/W4380484875","https://openalex.org/W6743022019","https://openalex.org/W6772678802"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W4294224199"],"abstract_inverted_index":{"Matrix":[0,54],"Factorization":[1,55],"(MF)":[2],"has":[3,58,107],"found":[4],"numerous":[5],"applications":[6],"in":[7,35,62,112],"Machine":[8],"Learning":[9],"and":[10,22,33],"Data":[11],"Mining,":[12],"including":[13],"collaborative":[14],"filtering":[15],"recommendation":[16,142],"systems,":[17],"dimensionality":[18],"reduction,":[19],"data":[20],"visualization,":[21],"community":[23],"detection.":[24],"Motivated":[25],"by":[26,101],"the":[27,46,50,63,74,81,89,115,118,130,133],"recent":[28],"successes":[29],"of":[30,73,84,91,114,117,121,132],"tropical":[31,47,103],"algebra":[32],"geometry":[34],"machine":[36],"learning,":[37],"we":[38,65],"investigate":[39],"two":[40],"problems":[41],"involving":[42],"matrix":[43,87,97],"factorization":[44],"over":[45],"algebra.":[48],"For":[49],"first":[51],"problem,":[52],"Tropical":[53],"(TMF),":[56],"which":[57],"been":[59],"studied":[60],"already":[61],"literature,":[64],"propose":[66],"an":[67,139],"improved":[68],"algorithm":[69],"that":[70],"avoids":[71],"many":[72],"local":[75],"optima.":[76],"The":[77],"second":[78],"formulation":[79,106],"considers":[80],"approximate":[82],"decomposition":[83],"a":[85,95,102,108],"given":[86],"into":[88],"product":[90,98],"three":[92],"matrices":[93],"where":[94],"usual":[96],"is":[99],"followed":[100],"product.":[104],"This":[105],"very":[109],"interesting":[110],"interpretation":[111],"terms":[113],"learning":[116],"utility":[119],"functions":[120],"multiple":[122],"users.":[123],"We":[124],"also":[125],"present":[126],"numerical":[127],"results":[128],"illustrating":[129],"effectiveness":[131],"proposed":[134],"algorithms,":[135],"as":[136,138],"well":[137],"application":[140],"to":[141],"systems":[143],"with":[144],"promising":[145],"results.":[146]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
