{"id":"https://openalex.org/W3008985254","doi":"https://doi.org/10.1145/3373207.3404057","title":"Ideal Interpolation, H-bases and symmetry","display_name":"Ideal Interpolation, H-bases and symmetry","publication_year":2020,"publication_date":"2020-07-20","ids":{"openalex":"https://openalex.org/W3008985254","doi":"https://doi.org/10.1145/3373207.3404057","mag":"3008985254"},"language":"en","primary_location":{"id":"doi:10.1145/3373207.3404057","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404057","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-02482098/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090331108","display_name":"Erick Rodriguez Bazan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210126779","display_name":"Observatoire de la C\u00f4te d\u2019Azur","ror":"https://ror.org/039fj2469","country_code":"FR","type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Erick Rodriguez Bazan","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d'Azur, France","AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, France","institution_ids":["https://openalex.org/I4210126779","https://openalex.org/I201841394"]},{"raw_affiliation_string":"AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053378534","display_name":"\u00c9velyne Hubert","orcid":"https://orcid.org/0000-0003-1456-9524"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210126779","display_name":"Observatoire de la C\u00f4te d\u2019Azur","ror":"https://ror.org/039fj2469","country_code":"FR","type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4210126779"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Evelyne Hubert","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d'Azur, France","AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, France","institution_ids":["https://openalex.org/I4210126779","https://openalex.org/I201841394"]},{"raw_affiliation_string":"AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090331108"],"corresponding_institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210126779"],"apc_list":null,"apc_paid":null,"fwci":0.3595,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5305964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"402","last_page":"409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/ideal","display_name":"Ideal (ethics)","score":0.7724517583847046},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.7556922435760498},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.7515490055084229},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7369694113731384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6178785562515259},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.5212519764900208},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.44686853885650635},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.44379061460494995},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.425533652305603},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4119596481323242},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.3934291899204254},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.30404210090637207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24337804317474365},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24167463183403015},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22067049145698547},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08851981163024902}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7724517583847046},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.7556922435760498},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.7515490055084229},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7369694113731384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6178785562515259},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.5212519764900208},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.44686853885650635},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.44379061460494995},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.425533652305603},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4119596481323242},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.3934291899204254},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.30404210090637207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24337804317474365},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24167463183403015},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22067049145698547},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08851981163024902},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3373207.3404057","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404057","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02482098v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02482098","pdf_url":"https://inria.hal.science/hal-02482098/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. &#x27E8;10.1145/3373207.3404057&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-02482098v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-02482098","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Symposium on Symbolic and Algebraic Computation","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02482098v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02482098","pdf_url":"https://inria.hal.science/hal-02482098/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. &#x27E8;10.1145/3373207.3404057&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3008985254.pdf","grobid_xml":"https://content.openalex.org/works/W3008985254.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W593785437","https://openalex.org/W1571225315","https://openalex.org/W1596185498","https://openalex.org/W1971712873","https://openalex.org/W1975583278","https://openalex.org/W1992373021","https://openalex.org/W2007215420","https://openalex.org/W2055993677","https://openalex.org/W2058981827","https://openalex.org/W2059522106","https://openalex.org/W2064486311","https://openalex.org/W2074119680","https://openalex.org/W2075184731","https://openalex.org/W2075498078","https://openalex.org/W2143920029","https://openalex.org/W2157325488","https://openalex.org/W2163449867","https://openalex.org/W2238531909","https://openalex.org/W2407416010","https://openalex.org/W2464139764","https://openalex.org/W2482557576","https://openalex.org/W2500375636","https://openalex.org/W2514984710","https://openalex.org/W2555323499","https://openalex.org/W2962850472","https://openalex.org/W2963036176","https://openalex.org/W3100496417","https://openalex.org/W4232161866","https://openalex.org/W4297936497"],"related_works":["https://openalex.org/W2354378723","https://openalex.org/W2488705107","https://openalex.org/W1965166561","https://openalex.org/W2476620618","https://openalex.org/W2981802424","https://openalex.org/W2593528645","https://openalex.org/W4237388375","https://openalex.org/W2021260467","https://openalex.org/W2078996028","https://openalex.org/W18702213"],"abstract_inverted_index":{"Multivariate":[0],"Lagrange":[1],"and":[2],"Hermite":[3],"interpolation":[4,14],"are":[5],"examples":[6],"of":[7,21],"ideal":[8,13],"interpolation.":[9],"More":[10],"generally":[11],"an":[12,32],"problem":[15],"is":[16],"defined":[17],"by":[18],"a":[19],"set":[20],"linear":[22],"forms,":[23],"on":[24],"the":[25],"polynomial":[26],"ring,":[27],"whose":[28],"kernels":[29],"intersect":[30],"into":[31],"ideal.":[33]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2020-03-06T00:00:00"}
