{"id":"https://openalex.org/W1596275096","doi":"https://doi.org/10.1007/978-3-540-30117-2_24","title":"Second Order Function Approximation Using a Single Multiplication on FPGAs","display_name":"Second Order Function Approximation Using a Single Multiplication on FPGAs","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1596275096","doi":"https://doi.org/10.1007/978-3-540-30117-2_24","mag":"1596275096"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30117-2_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30117-2_24","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5015632143","display_name":"J\u00e9r\u00e9mie Detrey","orcid":"https://orcid.org/0000-0001-5198-858X"},"institutions":[{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J\u00e9r\u00e9mie Detrey","raw_affiliation_strings":["Laboratoire de l\u2019Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364, Lyon cedex 07, France","Laboratoire de l'Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d'Italie, 69364, Lyon cedex 07, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de l\u2019Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"Laboratoire de l'Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d'Italie, 69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035966925","display_name":"Florent de Dinechin","orcid":"https://orcid.org/0000-0003-4927-3301"},"institutions":[{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent de Dinechin","raw_affiliation_strings":["Laboratoire de l\u2019Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364, Lyon cedex 07, France","Laboratoire de l'Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d'Italie, 69364, Lyon cedex 07, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de l\u2019Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"Laboratoire de l'Informatique du Parall\u00e9lisme, \u00c9cole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d'Italie, 69364, Lyon cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015632143"],"corresponding_institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.7754,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.97139521,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"221","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983999729156494,"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/lookup-table","display_name":"Lookup table","score":0.8151609897613525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7329862117767334},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7206096649169922},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6732986569404602},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5547569394111633},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.5544673800468445},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5396052002906799},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.508920431137085},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.5021927356719971},{"id":"https://openalex.org/keywords/critical-path-method","display_name":"Critical path method","score":0.45157188177108765},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45040470361709595},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.397434264421463},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3613724708557129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24593046307563782},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17158925533294678},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.1244814395904541},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07373303174972534}],"concepts":[{"id":"https://openalex.org/C134835016","wikidata":"https://www.wikidata.org/wiki/Q690265","display_name":"Lookup table","level":2,"score":0.8151609897613525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7329862117767334},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7206096649169922},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6732986569404602},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5547569394111633},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.5544673800468445},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5396052002906799},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.508920431137085},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.5021927356719971},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.45157188177108765},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45040470361709595},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.397434264421463},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3613724708557129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24593046307563782},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17158925533294678},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.1244814395904541},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07373303174972534},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-30117-2_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30117-2_24","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1505109187","https://openalex.org/W1540584048","https://openalex.org/W1545238850","https://openalex.org/W1549614911","https://openalex.org/W1551882400","https://openalex.org/W1598263934","https://openalex.org/W1986396242","https://openalex.org/W2108020882","https://openalex.org/W2108141766","https://openalex.org/W2111730172","https://openalex.org/W2132543649","https://openalex.org/W2135407475","https://openalex.org/W2143943882","https://openalex.org/W2162278401","https://openalex.org/W2484016947","https://openalex.org/W4232621341","https://openalex.org/W4235346344"],"related_works":["https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2895916002","https://openalex.org/W1814049089","https://openalex.org/W1977348009","https://openalex.org/W2369683208","https://openalex.org/W2084836983","https://openalex.org/W1530911128","https://openalex.org/W2382457518","https://openalex.org/W2151743818"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}