{"id":"https://openalex.org/W1539720494","doi":"https://doi.org/10.1007/978-3-642-23719-5_50","title":"The Union of Probabilistic Boxes: Maintaining the Volume","display_name":"The Union of Probabilistic Boxes: Maintaining the Volume","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1539720494","doi":"https://doi.org/10.1007/978-3-642-23719-5_50","mag":"1539720494"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-23719-5_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23719-5_50","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/A5100764686","display_name":"Hakan Y\u0131ld\u0131z","orcid":"https://orcid.org/0000-0002-9579-4338"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hakan Y\u0131ld\u0131z","raw_affiliation_strings":["University of California, Santa Barbara, USA","University of California,Santa Barbara,"],"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California,Santa Barbara,","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073919193","display_name":"Luca Foschini","orcid":"https://orcid.org/0000-0001-9062-3647"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luca Foschini","raw_affiliation_strings":["University of California, Santa Barbara, USA","University of California,Santa Barbara,"],"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California,Santa Barbara,","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038416046","display_name":"John Hershberger","orcid":null},"institutions":[{"id":"https://openalex.org/I4210156212","display_name":"Mentor Technologies","ror":"https://ror.org/05vewsj04","country_code":"US","type":"other","lineage":["https://openalex.org/I4210156212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Hershberger","raw_affiliation_strings":["Mentor Graphics Corporation, Wilsonville, Oregon, USA","Mentor Graphics Corporation, Wilsonville, Oregon"],"affiliations":[{"raw_affiliation_string":"Mentor Graphics Corporation, Wilsonville, Oregon, USA","institution_ids":["https://openalex.org/I4210156212"]},{"raw_affiliation_string":"Mentor Graphics Corporation, Wilsonville, Oregon","institution_ids":["https://openalex.org/I4210156212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072397842","display_name":"Subhash Suri","orcid":"https://orcid.org/0000-0002-5668-7521"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Subhash Suri","raw_affiliation_strings":["University of California, Santa Barbara, USA","University of California,Santa Barbara,"],"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California,Santa Barbara,","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100764686"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0471,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71382637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"591","last_page":"602"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9937999844551086,"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7203450202941895},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5801469087600708},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5460578799247742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5277529358863831},{"id":"https://openalex.org/keywords/amortized-analysis","display_name":"Amortized analysis","score":0.5212972164154053},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5095358490943909},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5007297992706299},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.4921928942203522},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46409669518470764},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.454752117395401},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4509281516075134},{"id":"https://openalex.org/keywords/set-operations","display_name":"Set operations","score":0.418201208114624},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.4170264005661011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40401846170425415},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.37987521290779114},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3750687539577484},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10437443852424622},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10351023077964783},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07747980952262878},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07561919093132019}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7203450202941895},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5801469087600708},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5460578799247742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5277529358863831},{"id":"https://openalex.org/C142417499","wikidata":"https://www.wikidata.org/wiki/Q331716","display_name":"Amortized analysis","level":3,"score":0.5212972164154053},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5095358490943909},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5007297992706299},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4921928942203522},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46409669518470764},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.454752117395401},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4509281516075134},{"id":"https://openalex.org/C2777168461","wikidata":"https://www.wikidata.org/wiki/Q42196253","display_name":"Set operations","level":3,"score":0.418201208114624},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.4170264005661011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40401846170425415},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.37987521290779114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3750687539577484},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10437443852424622},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10351023077964783},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07747980952262878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07561919093132019},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-23719-5_50","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23719-5_50","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:CiteSeerX.psu:10.1.1.309.1114","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.1114","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucsb.edu/~suri/psdir/esa11.pdf","raw_type":"text"},{"id":"pmh:oai:https://open.metu.edu.tr:11511/93998","is_oa":false,"landing_page_url":"https://hdl.handle.net/11511/93998","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"19th Annual European Symposium on Algorithms (ESA)","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1998505959","https://openalex.org/W2011039300","https://openalex.org/W2015690843","https://openalex.org/W2019725409","https://openalex.org/W2022093184","https://openalex.org/W2061445011","https://openalex.org/W2082491533","https://openalex.org/W2084335983","https://openalex.org/W2101672259","https://openalex.org/W2151953637","https://openalex.org/W2327699610","https://openalex.org/W2476096155","https://openalex.org/W2970974516","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W8290509","https://openalex.org/W2184537587","https://openalex.org/W2065411828","https://openalex.org/W3092127654","https://openalex.org/W1482484961","https://openalex.org/W4205704978","https://openalex.org/W2076407808","https://openalex.org/W2018777660","https://openalex.org/W4235291009","https://openalex.org/W2552085130"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
