{"id":"https://openalex.org/W4282015471","doi":"https://doi.org/10.1145/3514221.3517831","title":"Faster and Better Solution to Embed Lp Metrics by Tree Metrics","display_name":"Faster and Better Solution to Embed Lp Metrics by Tree Metrics","publication_year":2022,"publication_date":"2022-06-10","ids":{"openalex":"https://openalex.org/W4282015471","doi":"https://doi.org/10.1145/3514221.3517831"},"language":"en","primary_location":{"id":"doi:10.1145/3514221.3517831","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3514221.3517831","pdf_url":null,"source":{"id":"https://openalex.org/S4363608845","display_name":"Proceedings of the 2022 International Conference on Management of Data","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Conference on Management of Data","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/A5101310689","display_name":"Yuxiang Zeng","orcid":"https://orcid.org/0000-0003-0126-3083"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Yuxiang Zeng","raw_affiliation_strings":["The Hong Kong University of Science and Technology, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology, Hong Kong SAR, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051874566","display_name":"Yongxin Tong","orcid":"https://orcid.org/0000-0002-5598-0312"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongxin Tong","raw_affiliation_strings":["Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333516","display_name":"Lei Chen","orcid":"https://orcid.org/0000-0002-8257-5806"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Lei Chen","raw_affiliation_strings":["The Hong Kong University of Science and Technology, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology, Hong Kong SAR, China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101310689"],"corresponding_institution_ids":["https://openalex.org/I200769079"],"apc_list":null,"apc_paid":null,"fwci":0.4862,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57349701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2135","last_page":"2148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T13282","display_name":"Automated Road and Building Extraction","score":0.9968000054359436,"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":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6533749103546143},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.599238932132721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5204696655273438},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4770466685295105},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.4384315609931946},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.43553340435028076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4250434637069702},{"id":"https://openalex.org/keywords/r-tree","display_name":"R-tree","score":0.41928917169570923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4085756242275238},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39566540718078613},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3260385990142822},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1903608739376068},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18061870336532593},{"id":"https://openalex.org/keywords/spatial-database","display_name":"Spatial database","score":0.11833921074867249},{"id":"https://openalex.org/keywords/spatial-analysis","display_name":"Spatial analysis","score":0.11124354600906372}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6533749103546143},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.599238932132721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5204696655273438},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4770466685295105},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.4384315609931946},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.43553340435028076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4250434637069702},{"id":"https://openalex.org/C106278948","wikidata":"https://www.wikidata.org/wiki/Q1198051","display_name":"R-tree","level":4,"score":0.41928917169570923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4085756242275238},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39566540718078613},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3260385990142822},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1903608739376068},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18061870336532593},{"id":"https://openalex.org/C203689450","wikidata":"https://www.wikidata.org/wiki/Q2302053","display_name":"Spatial database","level":3,"score":0.11833921074867249},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.11124354600906372},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3514221.3517831","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3514221.3517831","pdf_url":null,"source":{"id":"https://openalex.org/S4363608845","display_name":"Proceedings of the 2022 International Conference on Management of Data","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Conference on Management of Data","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-117917","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=0730-8078&rft.volume=&rft.issue=&rft.date=2022&rft.spage=2135&rft.aulast=Zeng&rft.aufirst=Yuxiang&rft.atitle=Faster+and+Better+Solution+to+Embed+%F0%9D%90%BF%F0%9D%91%9D+Metrics+by+Tree+Metrics&rft.title=Proceedings+of+the+ACM+SIGMOD+International+Conference+on+Management+of+Data","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1490682695","https://openalex.org/W1497953515","https://openalex.org/W1530239281","https://openalex.org/W1899379166","https://openalex.org/W1966474040","https://openalex.org/W1978382073","https://openalex.org/W2007791040","https://openalex.org/W2008196645","https://openalex.org/W2011999472","https://openalex.org/W2012931756","https://openalex.org/W2041571997","https://openalex.org/W2067883080","https://openalex.org/W2071702404","https://openalex.org/W2072843106","https://openalex.org/W2082353536","https://openalex.org/W2104232723","https://openalex.org/W2107711372","https://openalex.org/W2114493937","https://openalex.org/W2132452995","https://openalex.org/W2294518132","https://openalex.org/W2427881153","https://openalex.org/W2525830997","https://openalex.org/W2729309190","https://openalex.org/W2794765870","https://openalex.org/W2902652525","https://openalex.org/W2903602506","https://openalex.org/W2909732289","https://openalex.org/W2950014839","https://openalex.org/W2951336812","https://openalex.org/W2964172141","https://openalex.org/W2970142969","https://openalex.org/W2972177954","https://openalex.org/W2985381883","https://openalex.org/W2986725445","https://openalex.org/W2997027240","https://openalex.org/W2997718247","https://openalex.org/W3030401096","https://openalex.org/W3030774092","https://openalex.org/W3041939645","https://openalex.org/W3081786030","https://openalex.org/W3095847410","https://openalex.org/W3173740193","https://openalex.org/W4242599275","https://openalex.org/W4247849388","https://openalex.org/W4252017042","https://openalex.org/W4300692961","https://openalex.org/W6752694383"],"related_works":["https://openalex.org/W1969547578","https://openalex.org/W3003858543","https://openalex.org/W4312306082","https://openalex.org/W2171488351","https://openalex.org/W2959160600","https://openalex.org/W2378029901","https://openalex.org/W3023793255","https://openalex.org/W2358848605","https://openalex.org/W2067621765","https://openalex.org/W4297851895"],"abstract_inverted_index":{"Hierarchically":[0],"Separated":[1],"Tree":[2,146],"(HST)":[3],"is":[4,78,111],"the":[5,40,108,141,227],"most":[6],"popular":[7],"solution":[8,110],"to":[9,32,39,70,114,139,152,160,210],"embed":[10],"a":[11,15,63,79,154,180,190,197,231],"metric":[12,59],"space":[13],"into":[14],"tree":[16],"metric.":[17],"By":[18],"using":[19],"HSTs,":[20],"many":[21,93],"optimization":[22,207],"problems,":[23],"which":[24,61],"are":[25,97,102,126,137],"hard":[26],"on":[27,54],"defined":[28],"metrics,":[29],"become":[30],"easier":[31],"get":[33,71],"good":[34,171],"approximation":[35],"bounds":[36],"with":[37,163],"respect":[38],"effectiveness,":[41],"e.g.,":[42],"task":[43],"assignment,":[44],"trip":[45],"planning,":[46],"and":[47,85,120,172,185,216,239],"facility":[48],"location":[49],"planning.":[50],"Existing":[51],"work":[52],"focuses":[53],"constructing":[55],"HSTs":[56,96,116,162],"for":[57,117,129],"arbitrary":[58],"spaces,":[60],"makes":[62],"general-purpose":[64],"algorithm":[65,156,224],"take":[66],"at":[67],"least":[68],"O(n2)-time":[69],"tight":[72],"distortion":[73,77,167,191,238],"guarantees":[74,168],"O(log(n)).":[75,194],"Here,":[76],"prevalent":[80],"measurement":[81],"of":[82,123,193,236],"HSTs'":[83],"effectiveness":[84],"usability.":[86],"However,":[87],"we":[88,136,177,203],"observe":[89],"that":[90,95,187,222],"(1)":[91],"in":[92,133,234],"applications":[94],"applied,":[98],"only":[99,127,165],"Lp":[100,143],"metrics":[101,144,147],"used":[103],"(e.g.,":[104],"Euclidean":[105],"space),":[106],"(2)":[107],"state-of-the-art":[109,228],"still":[112],"time-consuming":[113],"construct":[115,161],"large-scale":[118],"data,":[119],"(3)":[121],"distortions":[122],"existing":[124],"algorithms":[125,229],"satisfactory":[128],"high-dimensional":[130],"data.":[131],"Thus,":[132],"this":[134],"paper,":[135],"motivated":[138],"study":[140],"Embedding":[142],"through":[145],"(ELT)":[148],"problem.":[149],"We":[150],"aim":[151],"design":[153,205],"faster":[155],"than":[157,201],"O(n2)":[158],"time":[159,199],"not":[164],"O(log(n))":[166],"but":[169],"also":[170],"robust":[173],"empirical":[174],"results.":[175],"Specifically,":[176],"first":[178],"present":[179],"divide-and-conquer":[181],"based":[182],"general":[183],"framework":[184],"prove":[186],"it":[188],"has":[189],"guarantee":[192],"To":[195],"achieve":[196],"better":[198],"complexity":[200],"O(n2),":[202],"next":[204],"two":[206],"techniques:":[208],"reducing":[209],"nearest":[211],"neighbor":[212],"search":[213],"(by":[214],"indexing)":[215],"sampling.":[217],"Finally,":[218],"extensive":[219],"experiments":[220],"demonstrate":[221],"our":[223],"DCsam":[225],"outperforms":[226],"by":[230],"large":[232],"margin":[233],"terms":[235],"both":[237],"running":[240],"time.":[241]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}