{"id":"https://openalex.org/W2037046390","doi":"https://doi.org/10.1145/2261250.2261255","title":"Approximate bregman near neighbors in sublinear time","display_name":"Approximate bregman near neighbors in sublinear time","publication_year":2012,"publication_date":"2012-06-17","ids":{"openalex":"https://openalex.org/W2037046390","doi":"https://doi.org/10.1145/2261250.2261255","mag":"2037046390"},"language":"en","primary_location":{"id":"doi:10.1145/2261250.2261255","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2261250.2261255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"conference-paper","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/A5065974640","display_name":"Amirali Abdullah","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amirali Abdullah","raw_affiliation_strings":["University of Utah, Salt Lake City, UT, USA","University of Utah, Salt Lake City, UT, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA#TAB#","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073446340","display_name":"John Moeller","orcid":"https://orcid.org/0000-0001-8340-5166"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Moeller","raw_affiliation_strings":["University of Utah, Salt Lake City, UT, USA","University of Utah, Salt Lake City, UT, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA#TAB#","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061790878","display_name":"Suresh Venkatasubramanian","orcid":"https://orcid.org/0000-0001-7679-7130"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Suresh Venkatasubramanian","raw_affiliation_strings":["University of Utah, Salt Lake City, UT, USA","University of Utah, Salt Lake City, UT, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah, Salt Lake City, UT, USA#TAB#","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"31","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13282","display_name":"Automated Road and Building Extraction","score":0.989300012588501,"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"}},"topics":[{"id":"https://openalex.org/T13282","display_name":"Automated Road and Building Extraction","score":0.989300012588501,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9790999889373779,"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":0.9664999842643738,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.8052572011947632},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.6675084233283997},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6480938196182251},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6356510519981384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6314868927001953},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6186319589614868},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5867855548858643},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47698837518692017},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4564642012119293},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3629099130630493},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20026183128356934},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17327168583869934},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11270162463188171},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09004154801368713}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.8052572011947632},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.6675084233283997},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6480938196182251},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6356510519981384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6314868927001953},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6186319589614868},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5867855548858643},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47698837518692017},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4564642012119293},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3629099130630493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20026183128356934},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17327168583869934},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11270162463188171},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09004154801368713},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2261250.2261255","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2261250.2261255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth annual symposium on Computational geometry","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W85966402","https://openalex.org/W139808434","https://openalex.org/W183456729","https://openalex.org/W596522316","https://openalex.org/W781453038","https://openalex.org/W1540596182","https://openalex.org/W1546961578","https://openalex.org/W1548530442","https://openalex.org/W1561129100","https://openalex.org/W1573082642","https://openalex.org/W1593966940","https://openalex.org/W1965555277","https://openalex.org/W1994772769","https://openalex.org/W2011320564","https://openalex.org/W2024409132","https://openalex.org/W2024517791","https://openalex.org/W2031348368","https://openalex.org/W2033468335","https://openalex.org/W2065528935","https://openalex.org/W2075057405","https://openalex.org/W2096765209","https://openalex.org/W2098375959","https://openalex.org/W2104232723","https://openalex.org/W2107342718","https://openalex.org/W2111410263","https://openalex.org/W2116327295","https://openalex.org/W2121133842","https://openalex.org/W2133296809","https://openalex.org/W2134624785","https://openalex.org/W2144397897","https://openalex.org/W2147717514","https://openalex.org/W2153602280","https://openalex.org/W2153942313","https://openalex.org/W2160709761","https://openalex.org/W2162995444","https://openalex.org/W2164240509","https://openalex.org/W2166632516","https://openalex.org/W2169751639","https://openalex.org/W2626926814","https://openalex.org/W4248228374","https://openalex.org/W6837099843"],"related_works":["https://openalex.org/W4310831791","https://openalex.org/W2315570462","https://openalex.org/W4294364856","https://openalex.org/W2164522043","https://openalex.org/W2299552569","https://openalex.org/W4293867184","https://openalex.org/W4361796174","https://openalex.org/W2340931322","https://openalex.org/W2529017546","https://openalex.org/W4311946102"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"the":[5,55,108,152,155],"first":[6,67],"provably":[7],"approximate":[8],"nearest":[9],"neighbor":[10],"(ANN)":[11],"algorithms":[12],"for":[13,25,33,72,89,154],"Bregman":[14,42,58,109],"divergences":[15,59,110],"over":[16,123],"bounded":[17],"domain.These":[18],"process":[19],"queries":[20],"in":[21,77,105,137,151],"O(log":[22,138],"n)":[23,85,139],"time":[24,80,140],"fixed":[26],"dimensions.We":[27],"also":[28],"obtain":[29],"poly-log":[30],"n":[31],"bounds":[32,52],"a":[34,70,73,95,113,135,147],"more":[35,103],"abstract":[36],"class":[37],"of":[38,50,120,126],"distance":[39,92],"measures":[40,93],"(containing":[41],"divergences)":[43],"which":[44],"satisfy":[45],"certain":[46],"structural":[47,115],"properties.":[48],"Both":[49],"these":[51],"apply":[53],"to":[54,107,133],"regular":[56],"asymmetric":[57],"as":[60,62],"well":[61],"their":[63],"symmetrized":[64],"versions.":[65],"Our":[66,99],"algorithm":[68,101],"resolves":[69],"query":[71,156],"d-dimensional":[74],"(1+\u03b5)":[75],"ANN":[76],"O((log/n":[78],"\u03b5)O(d))":[79],"and":[81,87,111,141],"O":[82],"(n":[83],"logd-1":[84],"space":[86],"holds":[88],"generic":[90],"\u03bc-defective":[91],"satisfying":[94],"reverse":[96],"triangle":[97],"inequality.":[98],"second":[100,121],"is":[102,146],"specific":[104],"analysis":[106],"uses":[112],"further":[114,148],"constant":[116],",the":[117],"maximum":[118],"ratio":[119],"derivatives":[122],"each":[124],"dimension":[125],"our":[127],"domain":[128],"(c0).":[129],"This":[130],"allows":[131],"us":[132],"locate":[134],"(1+\u03b5)-ANN":[136],"O(n)":[142],"space,":[143],"where":[144],"there":[145],"(c0)d":[149],"factor":[150],"big-Oh":[153],"time.":[157]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
