{"id":"https://openalex.org/W1970429311","doi":"https://doi.org/10.1007/s00607-011-0158-8","title":"An interval extension based on occurrence grouping","display_name":"An interval extension based on occurrence grouping","publication_year":2011,"publication_date":"2011-11-19","ids":{"openalex":"https://openalex.org/W1970429311","doi":"https://doi.org/10.1007/s00607-011-0158-8","mag":"1970429311"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-011-0158-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-011-0158-8","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://enpc.hal.science/hal-00733855/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008600298","display_name":"Ignacio Araya","orcid":"https://orcid.org/0000-0001-5882-6217"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]},{"id":"https://openalex.org/I79274474","display_name":"University of Valpara\u00edso","ror":"https://ror.org/00h9jrb69","country_code":"CL","type":"education","lineage":["https://openalex.org/I79274474"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Ignacio Araya","raw_affiliation_strings":["UTFSM, Valparaiso, Chile","Departamento de Informatica [Valpara\u00edso, Chile] (Av.Espa\u00f1a 1680 - Valpara\u00edso - Chile)"],"affiliations":[{"raw_affiliation_string":"UTFSM, Valparaiso, Chile","institution_ids":["https://openalex.org/I79274474","https://openalex.org/I75778554"]},{"raw_affiliation_string":"Departamento de Informatica [Valpara\u00edso, Chile] (Av.Espa\u00f1a 1680 - Valpara\u00edso - Chile)","institution_ids":["https://openalex.org/I79274474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003911837","display_name":"Bertrand Neveu","orcid":"https://orcid.org/0000-0002-1939-771X"},"institutions":[{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bertrand Neveu","raw_affiliation_strings":["Imagine LIGM Univ. Paris-Est, Champs-sur-Marne, France","imagine [Marne-la-Vall\u00e9e] (6 avenue Blaise Pascal - Cit\u00e9 Descartes, Champs-sur-Marne 77455 Marne-la-Vall\u00e9e cedex 2 - France)","LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 de Paris-Est Marne-la-Vall\u00e9e, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)","ENPC - \u00c9cole des Ponts ParisTech (\u00c9cole des Ponts ParisTech 6-8 avenue Blaise-Pascal Cit\u00e9 Descartes 77455 Champs-sur-Marne Marne-la-Vall\u00e9e cedex 2 - France)"],"affiliations":[{"raw_affiliation_string":"Imagine LIGM Univ. Paris-Est, Champs-sur-Marne, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"imagine [Marne-la-Vall\u00e9e] (6 avenue Blaise Pascal - Cit\u00e9 Descartes, Champs-sur-Marne 77455 Marne-la-Vall\u00e9e cedex 2 - France)","institution_ids":[]},{"raw_affiliation_string":"LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 de Paris-Est Marne-la-Vall\u00e9e, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"ENPC - \u00c9cole des Ponts ParisTech (\u00c9cole des Ponts ParisTech 6-8 avenue Blaise-Pascal Cit\u00e9 Descartes 77455 Champs-sur-Marne Marne-la-Vall\u00e9e cedex 2 - France)","institution_ids":["https://openalex.org/I142631665"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002845825","display_name":"Gilles Trombettoni","orcid":"https://orcid.org/0000-0002-5283-7203"},"institutions":[{"id":"https://openalex.org/I4210106479","display_name":"Laboratoire d'Informatique, Signaux et Syst\u00e8mes de Sophia Antipolis","ror":"https://ror.org/01215r597","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106479","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Trombettoni","raw_affiliation_strings":["INRIA, I3S, Univ. Nice-Sophia, Sophia-Antipolis, France","COPRIN - Constraints solving, optimization and robust interval analysis (France)","Laboratoire d'Informatique, Signaux, et Syst\u00e8mes de Sophia-Antipolis (I3S) / Equipe CEP (France)"],"affiliations":[{"raw_affiliation_string":"INRIA, I3S, Univ. Nice-Sophia, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"COPRIN - Constraints solving, optimization and robust interval analysis (France)","institution_ids":[]},{"raw_affiliation_string":"Laboratoire d'Informatique, Signaux, et Syst\u00e8mes de Sophia-Antipolis (I3S) / Equipe CEP (France)","institution_ids":["https://openalex.org/I4210106479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008600298"],"corresponding_institution_ids":["https://openalex.org/I75778554","https://openalex.org/I79274474"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.06737381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"94","issue":"2-4","first_page":"173","last_page":"188"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9904999732971191,"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"}},{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.8918963074684143},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.8422234654426575},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.8029078245162964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7302316427230835},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6147922277450562},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5791438221931458},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5708269476890564},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.4681048095226288},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43134886026382446},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4240677058696747},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39548662304878235},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38927263021469116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2360019087791443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1478477418422699},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13835841417312622},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.061320960521698}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.8918963074684143},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.8422234654426575},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.8029078245162964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7302316427230835},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6147922277450562},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5791438221931458},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5708269476890564},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.4681048095226288},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43134886026382446},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4240677058696747},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39548662304878235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38927263021469116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2360019087791443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1478477418422699},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13835841417312622},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.061320960521698},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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":3,"locations":[{"id":"doi:10.1007/s00607-011-0158-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-011-0158-8","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00733855v1","is_oa":true,"landing_page_url":"https://enpc.hal.science/hal-00733855","pdf_url":"https://enpc.hal.science/hal-00733855/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing, 2012, 94 (2), pp.173-188","raw_type":"Journal articles"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.652.3581","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.652.3581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal-enpc.archives-ouvertes.fr/hal-00733855/document/","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00733855v1","is_oa":true,"landing_page_url":"https://enpc.hal.science/hal-00733855","pdf_url":"https://enpc.hal.science/hal-00733855/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing, 2012, 94 (2), pp.173-188","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1970429311.pdf","grobid_xml":"https://content.openalex.org/works/W1970429311.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W101601014","https://openalex.org/W1483874187","https://openalex.org/W1548650523","https://openalex.org/W1572450310","https://openalex.org/W1577563000","https://openalex.org/W1588693185","https://openalex.org/W1831455817","https://openalex.org/W2067648572","https://openalex.org/W2170120409","https://openalex.org/W2483775066","https://openalex.org/W2610261390","https://openalex.org/W2912589708","https://openalex.org/W3091983754","https://openalex.org/W3146520007","https://openalex.org/W4296927103","https://openalex.org/W4298255709"],"related_works":["https://openalex.org/W2146950613","https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W2098412892","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2377262226","https://openalex.org/W2531534085","https://openalex.org/W2071707387"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}