{"id":"https://openalex.org/W3128262951","doi":"https://doi.org/10.1145/3452143.3465531","title":"Amortized Bivariate Multi-point Evaluation","display_name":"Amortized Bivariate Multi-point Evaluation","publication_year":2021,"publication_date":"2021-07-13","ids":{"openalex":"https://openalex.org/W3128262951","doi":"https://doi.org/10.1145/3452143.3465531","mag":"3128262951"},"language":"en","primary_location":{"id":"doi:10.1145/3452143.3465531","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452143.3465531","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 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://hal.science/hal-03124458","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001033788","display_name":"Joris van der Hoeven","orcid":"https://orcid.org/0000-0003-2244-1897"},"institutions":[{"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"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Joris van der Hoeven","raw_affiliation_strings":["CNRS, LIX, Ecole polytechnique, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"CNRS, LIX, Ecole polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086685207","display_name":"Gr\u00e9goire Lecerf","orcid":null},"institutions":[{"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"]},{"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gr\u00e9goire Lecerf","raw_affiliation_strings":["CNRS, LIX, Ecole polytechnique, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"CNRS, LIX, Ecole polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001033788"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210139461"],"apc_list":null,"apc_paid":null,"fwci":0.4521,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65818665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.7859083414077759},{"id":"https://openalex.org/keywords/amortized-analysis","display_name":"Amortized analysis","score":0.6488034129142761},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6374121904373169},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5981354713439941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5278270840644836},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48685401678085327},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4750535488128662},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4360966384410858},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4293003976345062},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4028244912624359},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36415374279022217},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3339619040489197},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.24465402960777283},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09499835968017578},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.056622862815856934},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.053577721118927}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7859083414077759},{"id":"https://openalex.org/C142417499","wikidata":"https://www.wikidata.org/wiki/Q331716","display_name":"Amortized analysis","level":3,"score":0.6488034129142761},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6374121904373169},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5981354713439941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5278270840644836},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48685401678085327},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4750535488128662},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4360966384410858},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4293003976345062},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4028244912624359},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36415374279022217},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3339619040489197},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.24465402960777283},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09499835968017578},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.056622862815856934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.053577721118927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3452143.3465531","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452143.3465531","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03124458v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03124458","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 2021, Jul 2021, Saint Petersbourg, Russia. &#x27E8;10.1145/3452143.3465531&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03124458v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03124458","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 2021, Jul 2021, Saint Petersbourg, Russia. &#x27E8;10.1145/3452143.3465531&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5099999904632568,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1625225258","https://openalex.org/W1990568802","https://openalex.org/W1994077047","https://openalex.org/W2020759317","https://openalex.org/W2033961328","https://openalex.org/W2055580199","https://openalex.org/W2057464053","https://openalex.org/W2059522106","https://openalex.org/W2084801848","https://openalex.org/W2106968393","https://openalex.org/W2113672208","https://openalex.org/W2207819601","https://openalex.org/W2266644748","https://openalex.org/W2583623140","https://openalex.org/W2787004013","https://openalex.org/W2927304297","https://openalex.org/W2941649468","https://openalex.org/W2950049430","https://openalex.org/W2993822074","https://openalex.org/W3013020064","https://openalex.org/W3036144836","https://openalex.org/W3105749894","https://openalex.org/W3105773606"],"related_works":["https://openalex.org/W1721599012","https://openalex.org/W2901858382","https://openalex.org/W4384273653","https://openalex.org/W4372063917","https://openalex.org/W2177739813","https://openalex.org/W82233118","https://openalex.org/W2952760262","https://openalex.org/W2408755413","https://openalex.org/W2761997784","https://openalex.org/W2184324190"],"abstract_inverted_index":{"The":[0],"evaluation":[1,19,43,55],"of":[2,12,18,33,40,54,71],"a":[3,65],"polynomial":[4],"at":[5,30],"several":[6,24],"points":[7,20,56],"is":[8,21,57],"called":[9],"the":[10,16,48,52],"problem":[11],"multi-point":[13,42],"evaluation.":[14],"Sometimes,":[15],"set":[17,32,53],"fixed":[22],"and":[23],"polynomials":[25],"need":[26],"to":[27,76],"be":[28],"evaluated":[29],"this":[31,38,61],"points.":[34],"Efficient":[35],"algorithms":[36],"for":[37,47,68],"kind":[39],"\"amortized\"":[41],"were":[44],"recently":[45],"developed":[46],"special":[49],"case":[50],"when":[51],"sufficiently":[58],"generic.":[59],"In":[60],"paper,":[62],"we":[63],"design":[64],"new":[66],"algorithm":[67],"arbitrary":[69],"sets":[70],"points,":[72],"while":[73],"restricting":[74],"ourselves":[75],"bivariate":[77],"polynomials.":[78]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
