{"id":"https://openalex.org/W3135918847","doi":"https://doi.org/10.1145/3457341.3457350","title":"Optimal monomial quadratization for ODE systems","display_name":"Optimal monomial quadratization for ODE systems","publication_year":2020,"publication_date":"2020-09-01","ids":{"openalex":"https://openalex.org/W3135918847","doi":"https://doi.org/10.1145/3457341.3457350","mag":"3135918847"},"language":"en","primary_location":{"id":"doi:10.1145/3457341.3457350","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3457341.3457350","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.08013","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029842311","display_name":"Andrey Bychkov","orcid":"https://orcid.org/0000-0002-2704-3022"},"institutions":[{"id":"https://openalex.org/I171241948","display_name":"Moscow Power Engineering Institute","ror":"https://ror.org/05sa6gg87","country_code":"RU","type":"education","lineage":["https://openalex.org/I171241948"]},{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Andrey Bychkov","raw_affiliation_strings":["National Research University, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"National Research University, Moscow, Russia","institution_ids":["https://openalex.org/I171241948","https://openalex.org/I45571689"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012130065","display_name":"Gleb Pogudin","orcid":"https://orcid.org/0000-0002-5731-8242"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gleb Pogudin","raw_affiliation_strings":["LIX, CNRS, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"LIX, CNRS, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029842311"],"corresponding_institution_ids":["https://openalex.org/I171241948","https://openalex.org/I45571689"],"apc_list":null,"apc_paid":null,"fwci":0.2954,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57851817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"54","issue":"3","first_page":"119","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.888850212097168},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.8679873943328857},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4483793377876282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4072790741920471},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36649852991104126},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2733350694179535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1278400719165802}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.888850212097168},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.8679873943328857},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4483793377876282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4072790741920471},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36649852991104126},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2733350694179535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1278400719165802}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3457341.3457350","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3457341.3457350","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2103.08013","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.08013","pdf_url":"https://arxiv.org/pdf/2103.08013","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":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.08013","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.08013","pdf_url":"https://arxiv.org/pdf/2103.08013","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W18372789","https://openalex.org/W111038805","https://openalex.org/W190179200","https://openalex.org/W606453859","https://openalex.org/W1987983513","https://openalex.org/W1999938988","https://openalex.org/W2016480989","https://openalex.org/W2040040623","https://openalex.org/W2063341797","https://openalex.org/W2068915011","https://openalex.org/W2081742229","https://openalex.org/W2126209209","https://openalex.org/W2127135659","https://openalex.org/W2149527532","https://openalex.org/W2150470619","https://openalex.org/W2189467761","https://openalex.org/W2277678953","https://openalex.org/W2946713810","https://openalex.org/W2950169853","https://openalex.org/W2964073052","https://openalex.org/W2964868716","https://openalex.org/W2991393727","https://openalex.org/W3029873465","https://openalex.org/W3043389728","https://openalex.org/W3102642326","https://openalex.org/W3108291630","https://openalex.org/W3126641548","https://openalex.org/W4211192676","https://openalex.org/W4287775452","https://openalex.org/W4300166770"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2399505800","https://openalex.org/W2376428685","https://openalex.org/W2018253224","https://openalex.org/W4256082577","https://openalex.org/W625783435"],"abstract_inverted_index":{"Transformation":[0],"of":[1,29,55,73,86],"a":[2,7,17,53,59,62],"polynomial":[3,56],"ODE":[4,64],"system":[5,54,65],"to":[6,26,81],"special":[8],"quadratic":[9,63],"form":[10],"has":[11,33],"been":[12,34],"successfully":[13],"used":[14],"recently":[15],"as":[16],"preprocessing":[18],"step":[19,41],"for":[20,38],"model":[21],"order":[22],"reduction":[23],"methods.":[24],"However,":[25],"the":[27,74,100],"best":[28],"our":[30],"knowledge,":[31],"there":[32],"no":[35],"practical":[36],"algorithm":[37,50,78,90],"performing":[39],"this":[40,87],"automatically":[42],"with":[43],"any":[44],"optimality":[45],"guarantees.":[46],"We":[47],"present":[48],"an":[49,83],"that,":[51],"given":[52],"ODEs,":[57],"finds":[58],"transformation":[60,85],"into":[61],"by":[66],"introducing":[67],"new":[68],"variables":[69],"which":[70],"are":[71],"monomials":[72],"original":[75],"variables.":[76],"The":[77,89],"is":[79,91],"guaranteed":[80],"produce":[82],"optimal":[84],"form.":[88],"implemented,":[92],"and":[93],"we":[94],"demonstrate":[95],"it":[96],"on":[97],"examples":[98],"from":[99],"literature.":[101]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}