{"id":"https://openalex.org/W1985507030","doi":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<403::aid-rsa11>3.0.co;2-k","title":"Asymptotic distributions for partial match queries inK-d trees","display_name":"Asymptotic distributions for partial match queries inK-d trees","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1985507030","doi":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<403::aid-rsa11>3.0.co;2-k","mag":"1985507030"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<403::aid-rsa11>3.0.co;2-k","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5056428246","display_name":"Ralph Neininger","orcid":"https://orcid.org/0000-0003-3975-1293"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ralph Neininger","raw_affiliation_strings":["Institut f\u00fcr Mathematische Stochastik Universit\u00e4t Freiburg Eckerstr. 1 79104 Freiburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Stochastik Universit\u00e4t Freiburg Eckerstr. 1 79104 Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056428246"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330,"provenance":"doaj"},"apc_paid":null,"fwci":1.198,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":13,"citation_normalized_percentile":{"value":0.721954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":81,"max":82},"biblio":{"volume":"17","issue":"3-4","first_page":"403","last_page":"427"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9992,"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"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9992,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9966,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9953,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.58843994},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5063242}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.64796335},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.61646694},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5900419},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.58843994},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5063242},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.414491},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39264768},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3619396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33940905},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22829342},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15610754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09835294},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/1098-2418(200010/12)17:3/4<403::aid-rsa11>3.0.co;2-k","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":20,"referenced_works":["https://openalex.org/W1504989747","https://openalex.org/W1511251174","https://openalex.org/W1597637931","https://openalex.org/W1680479358","https://openalex.org/W1969329925","https://openalex.org/W2005935699","https://openalex.org/W2014771275","https://openalex.org/W2027482003","https://openalex.org/W2038681797","https://openalex.org/W2038935311","https://openalex.org/W2048858877","https://openalex.org/W2049990738","https://openalex.org/W2053101698","https://openalex.org/W2067707835","https://openalex.org/W2074429597","https://openalex.org/W2095581856","https://openalex.org/W2165558283","https://openalex.org/W2254463431","https://openalex.org/W4255565618","https://openalex.org/W4298050965"],"related_works":["https://openalex.org/W4285325679","https://openalex.org/W2943623134","https://openalex.org/W2588219639","https://openalex.org/W2494523064","https://openalex.org/W2364151838","https://openalex.org/W2038416447","https://openalex.org/W2030292806","https://openalex.org/W2029404707","https://openalex.org/W1928239295","https://openalex.org/W174598662"],"abstract_inverted_index":{"The":[0,19,63,92],"distributional":[1],"performance":[2],"of":[3,6,16,40,55,70,82],"the":[4,27,33,48,52,80,83,97],"cost":[5,54],"a":[7,56],"partial":[8,57],"match":[9,58],"query":[10,59],"is":[11,44,94],"investigated":[12],"in":[13,47,61],"some":[14],"sorts":[15],"K-d":[17,25,36],"trees.":[18],"trees":[20,42],"under":[21],"consideration":[22],"are":[23,90],"Bentley's":[24],"tree,":[26,31],"locally":[28],"balanced":[29],"K-d-t":[30],"and":[32,85],"random":[34,71],"relaxed":[35],"tree.":[37],"For":[38],"each":[39],"these":[41],"it":[43],"proved":[45],"that":[46],"uniform":[49],"probabilistic":[50],"model":[51],"normalized":[53],"converges":[60],"distribution.":[62],"limiting":[64],"distributions":[65],"occur":[66],"as":[67],"fixed":[68],"points":[69],"affine":[72],"operators.":[73],"Also":[74],"explicit":[75],"first-order":[76],"asymptotic":[77],"expansions":[78],"for":[79],"variances":[81],"costs":[84],"results":[86],"on":[87,96],"exponential":[88],"moments":[89],"derived.":[91],"analysis":[93],"based":[95],"contraction":[98],"method.":[99],"\u00a9":[100],"2000":[101,112],"John":[102],"Wiley":[103],"&":[104],"Sons,":[105],"Inc.":[106],"Random":[107],"Struct.":[108],"Alg.,":[109],"17:":[110],"403\u2013427,":[111]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1985507030","counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2024-12-17T03:27:29.658727","created_date":"2016-06-24"}