{"id":"https://openalex.org/W2096654515","doi":"https://doi.org/10.1145/1831708.1831724","title":"Perturbing numerical calculations for statistical analysis of floating-point program (in)stability","display_name":"Perturbing numerical calculations for statistical analysis of floating-point program (in)stability","publication_year":2010,"publication_date":"2010-07-12","ids":{"openalex":"https://openalex.org/W2096654515","doi":"https://doi.org/10.1145/1831708.1831724","mag":"2096654515"},"language":"en","primary_location":{"id":"doi:10.1145/1831708.1831724","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1831708.1831724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th international symposium on Software testing and analysis","raw_type":"proceedings-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/A5027467673","display_name":"Enyi Tang","orcid":"https://orcid.org/0000-0001-9004-1292"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Enyi Tang","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076587279","display_name":"Earl T. Barr","orcid":"https://orcid.org/0000-0003-0771-7891"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Earl Barr","raw_affiliation_strings":["University of California, Davis, Davis, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Davis, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090810072","display_name":"Xuandong Li","orcid":"https://orcid.org/0000-0003-3090-9568"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuandong Li","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077610917","display_name":"Zhendong Su","orcid":"https://orcid.org/0000-0002-2970-1391"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhendong Su","raw_affiliation_strings":["University of California, Davis, Davis, CA, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Davis, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027467673"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":3.0752,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.91514703,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9624999761581421,"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":0.9569000005722046,"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/computer-science","display_name":"Computer science","score":0.762312114238739},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6818138360977173},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6658533215522766},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.6336597800254822},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5713777542114258},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5529341697692871},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5256268382072449},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.5191066265106201},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5128710269927979},{"id":"https://openalex.org/keywords/mathematical-software","display_name":"Mathematical software","score":0.44150346517562866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.414695143699646},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.39455926418304443},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3813343048095703},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2878726124763489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15184816718101501},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15136682987213135}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.762312114238739},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6818138360977173},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6658533215522766},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.6336597800254822},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5713777542114258},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5529341697692871},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5256268382072449},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.5191066265106201},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5128710269927979},{"id":"https://openalex.org/C2778400913","wikidata":"https://www.wikidata.org/wiki/Q1639024","display_name":"Mathematical software","level":3,"score":0.44150346517562866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.414695143699646},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.39455926418304443},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3813343048095703},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2878726124763489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15184816718101501},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15136682987213135},{"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1831708.1831724","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1831708.1831724","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th international symposium on Software testing and analysis","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1377846","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1377846/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"     In:    (pp. pp. 131-141).   (2010)     ","raw_type":"Proceedings paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W51760269","https://openalex.org/W1526045365","https://openalex.org/W1533318258","https://openalex.org/W1548182513","https://openalex.org/W1822341686","https://openalex.org/W1938260438","https://openalex.org/W1966287322","https://openalex.org/W1981663184","https://openalex.org/W1995833758","https://openalex.org/W2002568155","https://openalex.org/W2007774531","https://openalex.org/W2012040908","https://openalex.org/W2020804487","https://openalex.org/W2026069154","https://openalex.org/W2043100293","https://openalex.org/W2056270190","https://openalex.org/W2068810256","https://openalex.org/W2080696774","https://openalex.org/W2083224951","https://openalex.org/W2107089133","https://openalex.org/W2109955300","https://openalex.org/W2118967924","https://openalex.org/W2136064646","https://openalex.org/W2149984795","https://openalex.org/W2169004268","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2979730858","https://openalex.org/W4239437589","https://openalex.org/W6641625552","https://openalex.org/W6811096299","https://openalex.org/W7024016138","https://openalex.org/W7066470421"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W2940603871","https://openalex.org/W1532287630","https://openalex.org/W2052500721","https://openalex.org/W2082296130","https://openalex.org/W4299508867","https://openalex.org/W4226214462","https://openalex.org/W2028331352","https://openalex.org/W2475429613"],"abstract_inverted_index":{"Writing":[0],"reliable":[1],"software":[2,13],"is":[3],"difficult.":[4],"It":[5],"becomes":[6],"even":[7],"more":[8,79],"difficult":[9],"when":[10,23],"writing":[11],"scientific":[12],"involving":[14],"floating-point":[15],"numbers.":[16],"Computers":[17],"provide":[18],"numbers":[19],"with":[20,25],"limited":[21],"precision;":[22],"confronted":[24],"a":[26],"real":[27],"whose":[28],"precision":[29],"exceeds":[30],"that":[31],"limit,":[32],"they":[33],"introduce":[34],"approximation":[35],"and":[36,48,75],"error.":[37],"Numerical":[38],"analysts":[39],"have":[40,69],"developed":[41],"sophisticated":[42],"mathematical":[43],"techniques":[44,81],"for":[45],"performing":[46],"error":[47],"stability":[49],"analysis":[50,74],"of":[51],"numerical":[52,73],"algorithms.":[53],"However,":[54],"these":[55],"are":[56],"generally":[57],"not":[58,68],"accessible":[59],"to":[60,82],"application":[61],"programmers":[62],"or":[63],"scientists":[64],"who":[65,76],"often":[66],"do":[67],"in-depth":[70],"training":[71],"in":[72],"thus":[77],"need":[78],"automated":[80],"analyze":[83],"their":[84],"code.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}