{"id":"https://openalex.org/W2615855543","doi":"https://doi.org/10.1145/3096730.3096732","title":"Fast parallel multi-point evaluation of sparse polynomials","display_name":"Fast parallel multi-point evaluation of sparse polynomials","publication_year":2017,"publication_date":"2017-05-18","ids":{"openalex":"https://openalex.org/W2615855543","doi":"https://doi.org/10.1145/3096730.3096732","mag":"2615855543"},"language":"en","primary_location":{"id":"doi:10.1145/3096730.3096732","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3096730.3096732","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":["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/A5019266770","display_name":"Michael Monagan","orcid":"https://orcid.org/0000-0002-4652-2889"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael Monagan","raw_affiliation_strings":["Simon Fraser University, Burnaby, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047540246","display_name":"Alan Wong","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alan Wong","raw_affiliation_strings":["Simon Fraser University, Burnaby, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":0.2369,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51400202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"51","issue":"1","first_page":"12","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.79149329662323},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.726073145866394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5882346630096436},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5623835325241089},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5598238110542297},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5552136301994324},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4752647280693054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4021066427230835},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32179272174835205},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12444695830345154},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10422629117965698},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07614195346832275}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.79149329662323},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.726073145866394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5882346630096436},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5623835325241089},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5598238110542297},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5552136301994324},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4752647280693054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4021066427230835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32179272174835205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12444695830345154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10422629117965698},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07614195346832275},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3096730.3096732","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3096730.3096732","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2010953531","https://openalex.org/W2096280747","https://openalex.org/W2504258127"],"related_works":["https://openalex.org/W1721599012","https://openalex.org/W2901858382","https://openalex.org/W4384273653","https://openalex.org/W4372063917","https://openalex.org/W4232399475","https://openalex.org/W2952760262","https://openalex.org/W2761997784","https://openalex.org/W2177739813","https://openalex.org/W4388311650","https://openalex.org/W5922282"],"abstract_inverted_index":{"In":[0],"[3]":[1],"the":[2,59],"following":[3],"polynomial":[4,13],"evaluation":[5],"problem":[6],"arises.":[7],"Let":[8],"A":[9,33],"be":[10,68],"a":[11,57,72],"sparse":[12],"with":[14],"s":[15,51],"terms":[16],"in":[17,38],"Z":[18,39],"p":[19,40],"[":[20,41],"x":[21,42],"0":[22,43],",x":[23,44],"1":[24,45],",...,x":[25],"n":[26],"].":[27],"Suppose":[28],"we":[29],"seek":[30],"evaluations":[31],"of":[32,62],"into":[34],"t":[35,49,64,77],"bivariate":[36],"images":[37,63],"],":[46],"for":[47,76],"some":[48],"\u226a":[50],".":[52],"We":[53],"do":[54],"not":[55],"know":[56],"priori":[58],"exact":[60],"number":[61],"needed.":[65],"This":[66],"will":[67],"determined":[69],"by":[70],"using":[71],"trial":[73],"value":[74],"T":[75,81],",":[78],"and":[79],"increasing":[80],"as":[82],"required.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}