{"id":"https://openalex.org/W4300782336","doi":"https://doi.org/10.1007/978-0-387-74759-0_26","title":"Automatic Differentiation: Introduction, History and Rounding Error Estimation","display_name":"Automatic Differentiation: Introduction, History and Rounding Error Estimation","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W4300782336","doi":"https://doi.org/10.1007/978-0-387-74759-0_26"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_26","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","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/A5079566346","display_name":"Masao Iri","orcid":null},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masao Iri","raw_affiliation_strings":["Chuo University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Chuo University, Tokyo, Japan","institution_ids":["https://openalex.org/I96679780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113551557","display_name":"Koichi Kubota","orcid":null},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koichi Kubota","raw_affiliation_strings":["Chuo University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Chuo University, Tokyo, Japan","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079566346"],"corresponding_institution_ids":["https://openalex.org/I96679780"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5310831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"153","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","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/T11269","display_name":"Algorithms and Data Compression","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.8843643665313721},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.5507156848907471},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.5111919045448303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48250770568847656},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3000240921974182},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10783886909484863},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.03572601079940796},{"id":"https://openalex.org/keywords/systems-engineering","display_name":"Systems engineering","score":0.03291842341423035}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8843643665313721},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.5507156848907471},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5111919045448303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48250770568847656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3000240921974182},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10783886909484863},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.03572601079940796},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.03291842341423035}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_26","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","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":10,"referenced_works":["https://openalex.org/W1537902736","https://openalex.org/W1561958134","https://openalex.org/W1579027943","https://openalex.org/W1973342538","https://openalex.org/W2012001093","https://openalex.org/W2018435387","https://openalex.org/W2020527870","https://openalex.org/W2058760524","https://openalex.org/W2064643369","https://openalex.org/W4206215385"],"related_works":["https://openalex.org/W2383134623","https://openalex.org/W2400766834","https://openalex.org/W2462268341","https://openalex.org/W2962859441","https://openalex.org/W2106652828","https://openalex.org/W2993368853","https://openalex.org/W2011296968","https://openalex.org/W4304172332","https://openalex.org/W2114037632","https://openalex.org/W2172406734"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
