{"id":"https://openalex.org/W1519139294","doi":"https://doi.org/10.1007/3-540-44843-8_13","title":"Hierarchical Automatic Differentiation by Vertex Elimination and Source Transformation","display_name":"Hierarchical Automatic Differentiation by Vertex Elimination and Source Transformation","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1519139294","doi":"https://doi.org/10.1007/3-540-44843-8_13","mag":"1519139294"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44843-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44843-8_13","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/A5034376675","display_name":"Mohamed Tadjouddine","orcid":null},"institutions":[{"id":"https://openalex.org/I82284825","display_name":"Cranfield University","ror":"https://ror.org/05cncd958","country_code":"GB","type":"education","lineage":["https://openalex.org/I82284825"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Mohamed Tadjouddine","raw_affiliation_strings":["Applied Mathematics & Operational Research, ESD Cranfield University (RMCS Shrivenham), Swindon SN6 8LA, UK"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics & Operational Research, ESD Cranfield University (RMCS Shrivenham), Swindon SN6 8LA, UK","institution_ids":["https://openalex.org/I82284825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030240691","display_name":"Shaun A. Forth","orcid":"https://orcid.org/0000-0002-2401-6125"},"institutions":[{"id":"https://openalex.org/I82284825","display_name":"Cranfield University","ror":"https://ror.org/05cncd958","country_code":"GB","type":"education","lineage":["https://openalex.org/I82284825"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Shaun A. Forth","raw_affiliation_strings":["Applied Mathematics & Operational Research, ESD Cranfield University (RMCS Shrivenham), Swindon SN6 8LA, UK"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics & Operational Research, ESD Cranfield University (RMCS Shrivenham), Swindon SN6 8LA, UK","institution_ids":["https://openalex.org/I82284825"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064076305","display_name":"John D. Pryce","orcid":"https://orcid.org/0000-0003-1702-7624"},"institutions":[{"id":"https://openalex.org/I82284825","display_name":"Cranfield University","ror":"https://ror.org/05cncd958","country_code":"GB","type":"education","lineage":["https://openalex.org/I82284825"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John D. Pryce","raw_affiliation_strings":["Computer Information Systems Engineering, DOIS Cranfield University (RMCS Shrivenham), Swindon SN6 8LA, UK"],"affiliations":[{"raw_affiliation_string":"Computer Information Systems Engineering, DOIS Cranfield University (RMCS Shrivenham), Swindon SN6 8LA, UK","institution_ids":["https://openalex.org/I82284825"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034376675"],"corresponding_institution_ids":["https://openalex.org/I82284825"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6082,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7087156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9772999882698059,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9527000188827515,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/subroutine","display_name":"Subroutine","score":0.8490906953811646},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7537460327148438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6888248324394226},{"id":"https://openalex.org/keywords/automatic-differentiation","display_name":"Automatic differentiation","score":0.6827660799026489},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6621219515800476},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5789515376091003},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5362697243690491},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.526721715927124},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5133435130119324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4338456094264984},{"id":"https://openalex.org/keywords/computational-fluid-dynamics","display_name":"Computational fluid dynamics","score":0.42836302518844604},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4205714762210846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22727850079536438},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15268781781196594},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.14836043119430542},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.13815084099769592},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11857622861862183},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11540624499320984}],"concepts":[{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.8490906953811646},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7537460327148438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6888248324394226},{"id":"https://openalex.org/C133512626","wikidata":"https://www.wikidata.org/wiki/Q787371","display_name":"Automatic differentiation","level":3,"score":0.6827660799026489},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6621219515800476},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5789515376091003},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5362697243690491},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.526721715927124},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5133435130119324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4338456094264984},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.42836302518844604},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4205714762210846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22727850079536438},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15268781781196594},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.14836043119430542},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.13815084099769592},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11857622861862183},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11540624499320984},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-44843-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44843-8_13","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"},{"id":"pmh:oai:dspace.lib.cranfield.ac.uk:1826/3134","is_oa":false,"landing_page_url":"http://dspace.lib.cranfield.ac.uk/handle/1826/3134","pdf_url":null,"source":{"id":"https://openalex.org/S4306401778","display_name":"CERES (Cranfield University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82284825","host_organization_name":"Cranfield University","host_organization_lineage":["https://openalex.org/I82284825"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W194139114","https://openalex.org/W198149130","https://openalex.org/W302561940","https://openalex.org/W1488314083","https://openalex.org/W1491178396","https://openalex.org/W1512827902","https://openalex.org/W1549029615","https://openalex.org/W1554052041","https://openalex.org/W1554331070","https://openalex.org/W1585773866","https://openalex.org/W1592793986","https://openalex.org/W1996852196","https://openalex.org/W2037929850","https://openalex.org/W2057377421","https://openalex.org/W2130345504","https://openalex.org/W2146534684","https://openalex.org/W4240636081","https://openalex.org/W6637311314"],"related_works":["https://openalex.org/W1509211761","https://openalex.org/W2391299576","https://openalex.org/W2133693067","https://openalex.org/W1531488649","https://openalex.org/W3037767301","https://openalex.org/W1585350690","https://openalex.org/W2366027386","https://openalex.org/W2122146970","https://openalex.org/W2582456645","https://openalex.org/W4317422911"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
