{"id":"https://openalex.org/W2118234022","doi":"https://doi.org/10.5555/2627435.2627455","title":"Random intersection trees","display_name":"Random intersection trees","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2118234022","doi":"https://doi.org/10.5555/2627435.2627455","mag":"2118234022"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://jmlr.csail.mit.edu/papers/volume15/shah14a/shah14a.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S118988714","display_name":"Journal of Machine Learning Research","issn_l":"1532-4435","issn":["1532-4435","1533-7928"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":[],"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/A5029262817","display_name":"Rajen D. Shah","orcid":"https://orcid.org/0000-0001-9073-3782"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"funder","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rajen Dinesh Shah","raw_affiliation_strings":["[Statistical Laboratory, University of Cambridge, Cambridge, UK]"],"affiliations":[{"raw_affiliation_string":"[Statistical Laboratory, University of Cambridge, Cambridge, UK]","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113173834","display_name":"Nicolai Meinshausen","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Nicolai Meinshausen","raw_affiliation_strings":["Seminar f\u00fcr Statistik, ETH Z\u00fcrich, Z\u00fcrich, Switzerland."],"affiliations":[{"raw_affiliation_string":"Seminar f\u00fcr Statistik, ETH Z\u00fcrich, Z\u00fcrich, Switzerland.","institution_ids":["https://openalex.org/I35440088"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.155,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.971713,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"15","issue":"1","first_page":"629","last_page":"654"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9986,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9986,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9942,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9811,"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":[],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.59901154},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5559217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.545525},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.48962194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44962463},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.4240698},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42173323},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41775832},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41423434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35092607},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34662724},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30587205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11189923},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://jmlr.csail.mit.edu/papers/volume15/shah14a/shah14a.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S118988714","display_name":"Journal of Machine Learning Research","issn_l":"1532-4435","issn":["1532-4435","1533-7928"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"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":22,"referenced_works":["https://openalex.org/W1484413656","https://openalex.org/W1498871448","https://openalex.org/W1506285740","https://openalex.org/W1655765388","https://openalex.org/W193228784","https://openalex.org/W1991800036","https://openalex.org/W2048231652","https://openalex.org/W2048779798","https://openalex.org/W2064853889","https://openalex.org/W2081193615","https://openalex.org/W2097360283","https://openalex.org/W2135046866","https://openalex.org/W2143481518","https://openalex.org/W2147169507","https://openalex.org/W2148596671","https://openalex.org/W2150102617","https://openalex.org/W2164053026","https://openalex.org/W2428981601","https://openalex.org/W2911964244","https://openalex.org/W3037729706","https://openalex.org/W3085162807","https://openalex.org/W94571269"],"related_works":["https://openalex.org/W3155053570","https://openalex.org/W3102650760","https://openalex.org/W3037729706","https://openalex.org/W2952225122","https://openalex.org/W2912934387","https://openalex.org/W2911964244","https://openalex.org/W2731142262","https://openalex.org/W2259938310","https://openalex.org/W2181917792","https://openalex.org/W2143481518","https://openalex.org/W2135993011","https://openalex.org/W2135046866","https://openalex.org/W2113016070","https://openalex.org/W2097360283","https://openalex.org/W2091374137","https://openalex.org/W2048231652","https://openalex.org/W2043175314","https://openalex.org/W1823091351","https://openalex.org/W1678356000","https://openalex.org/W1594031697"],"abstract_inverted_index":{"Finding":[0],"interactions":[1,36,92],"between":[2],"variables":[3,24,73],"in":[4,25,79,132,188,198],"large":[5],"and":[6,69,98],"high-dimensional":[7],"data":[8],"sets":[9,21],"is":[10,31,105,111],"often":[11,195],"a":[12,26,62,84,147,208],"serious":[13],"computational":[14,100,175],"challenge.":[15],"Most":[16],"approaches":[17],"build":[18],"up":[19],"interaction":[20,64],"incrementally,":[22],"adding":[23],"greedy":[27],"fashion.":[28],"The":[29,117],"drawback":[30],"that":[32,65,90],"potentially":[33],"informative":[34,91],"high-order":[35],"may":[37],"be":[38,183],"overlooked.":[39],"Here,":[40],"we":[41,168],"propose":[42],"an":[43],"alternative":[44],"approach":[45],"for":[46,128,185],"classification":[47],"problems":[48],"with":[49,61,95],"binary":[50],"predictor":[51,115],"variables,":[52,68],"called":[53],"Random":[54],"Intersection":[55],"Trees.":[56],"It":[57],"works":[58],"by":[59,158,179],"starting":[60],"maximal":[63],"includes":[66],"all":[67],"then":[70],"gradually":[71],"removing":[72],"if":[74],"they":[75,192],"fail":[76],"to":[77,152,171],"appear":[78],"randomly":[80],"chosen":[81],"observations":[82],"of":[83,86,102,106,114,119,196,205],"class":[85,210],"interest.":[87],"We":[88],"show":[89],"are":[93,169,193],"retained":[94],"high":[96],"probability,":[97],"the":[99,112,141,174],"complexity":[101],"our":[103,180],"procedure":[104],"order":[107,153],"p\u03ba,":[108],"where":[109],"p":[110],"number":[113],"variables.":[116],"value":[118],"\u03ba":[120],"can":[121,182],"reach":[122],"values":[123],"as":[124,126,202],"low":[125],"1":[127],"very":[129],"sparse":[130],"data;":[131],"many":[133],"more":[134],"general":[135],"settings,":[136],"it":[137],"will":[138],"still":[139],"beat":[140],"exponent":[142],"s":[143,154],"obtained":[144],"when":[145],"using":[146,159],"brute":[148],"force":[149],"search":[150],"constrained":[151],"interactions.":[155],"In":[156],"addition,":[157],"some":[160],"new":[161],"ideas":[162],"based":[163],"on":[164],"min-wise":[165],"hash":[166],"schemes,":[167],"able":[170],"further":[172],"reduce":[173],"cost.":[176],"Interactions":[177],"found":[178],"algorithm":[181],"used":[184],"predictive":[186],"modelling":[187],"various":[189],"forms,":[190],"but":[191],"also":[194],"interest":[197],"their":[199],"own":[200],"right":[201],"useful":[203],"characterisations":[204],"what":[206],"distinguishes":[207],"certain":[209],"from":[211],"others.":[212]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2118234022","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-03-18T22:10:47.959063","created_date":"2016-06-24"}