{"id":"https://openalex.org/W3045682700","doi":"https://doi.org/10.1080/10556788.2020.1797024","title":"Generalized derivatives of computer programs","display_name":"Generalized derivatives of computer programs","publication_year":2020,"publication_date":"2020-07-26","ids":{"openalex":"https://openalex.org/W3045682700","doi":"https://doi.org/10.1080/10556788.2020.1797024","mag":"3045682700"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2020.1797024","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2020.1797024","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5054905469","display_name":"Matthew R. Billingsley","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew R. Billingsley","raw_affiliation_strings":["Process Systems Engineering Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Process Systems Engineering Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037278011","display_name":"Paul I. Barton","orcid":"https://orcid.org/0000-0003-2895-9443"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul I. Barton","raw_affiliation_strings":["Process Systems Engineering Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Process Systems Engineering Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037278011"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08405812,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"2","first_page":"480","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14470","display_name":"Advanced Data Processing Techniques","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13983","display_name":"Cybersecurity and Information Systems","score":0.9484000205993652,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46697211265563965}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46697211265563965}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2020.1797024","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2020.1797024","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W581038412","https://openalex.org/W1551360398","https://openalex.org/W1783840476","https://openalex.org/W1972393809","https://openalex.org/W1992688650","https://openalex.org/W2011835437","https://openalex.org/W2019411264","https://openalex.org/W2022150446","https://openalex.org/W2033272253","https://openalex.org/W2036742156","https://openalex.org/W2107220315","https://openalex.org/W2112391699","https://openalex.org/W2121856548","https://openalex.org/W2131275552","https://openalex.org/W2177571978","https://openalex.org/W2295283246","https://openalex.org/W2478429860","https://openalex.org/W2587284817","https://openalex.org/W2725102413","https://openalex.org/W2752885492","https://openalex.org/W2755905518","https://openalex.org/W2891885685","https://openalex.org/W2995179000","https://openalex.org/W3107963428","https://openalex.org/W4211092921","https://openalex.org/W4212766343","https://openalex.org/W4212912562","https://openalex.org/W4214617376","https://openalex.org/W4236495020","https://openalex.org/W4247489173"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"A":[0,22],"method":[1],"for":[2,24,38],"evaluating":[3],"lexicographical":[4],"directional":[5],"(LD)-derivatives":[6],"of":[7,50],"functional":[8],"programs":[9,16,26],"is":[10,27],"presented,":[11],"extending":[12],"previous":[13],"methods":[14],"to":[15],"containing":[17],"conditional":[18,39],"branches":[19,40],"and":[20,29,41],"loops.":[21],"language":[23],"imperative":[25],"given,":[28],"conditions":[30],"under":[31],"which":[32],"LD-derivatives":[33],"can":[34],"be":[35],"calculated":[36],"automatically":[37],"loops":[42],"are":[43],"described,":[44],"along":[45],"with":[46],"a":[47],"full":[48],"description":[49],"the":[51],"source":[52],"transformation":[53],"procedures":[54],"necessary.":[55]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}