{"id":"https://openalex.org/W33980390","doi":null,"title":"A geometric framework for machine learning","display_name":"A geometric framework for machine learning","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W33980390","mag":"33980390"},"language":"en","primary_location":{"id":"mag:33980390","doi":null,"is_oa":false,"landing_page_url":"https://dl.acm.org/citation.cfm?id=164161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W33980390"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5102336600","display_name":"David G. Heath","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David G. Heath","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5102336600"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6088,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.92390395,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9467999935150146,"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"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9467999935150146,"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"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.020999999716877937,"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"}},{"id":"https://openalex.org/T13373","display_name":"Data Mining and Machine Learning Applications","score":0.00559999980032444,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sample-complexity-bounds","display_name":"sample complexity bounds","score":0.6899999976158142},{"id":"https://openalex.org/keywords/learning-algorithms","display_name":"learning algorithms","score":0.593999981880188},{"id":"https://openalex.org/keywords/data-interpretation","display_name":"data interpretation","score":0.5649999976158142},{"id":"https://openalex.org/keywords/big-data","display_name":"big data","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.7664951086044312},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.7256256341934204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6677448153495789},{"id":"https://openalex.org/C32254414","wikidata":"https://www.wikidata.org/wiki/Q4724364","display_name":"Algorithmic learning theory","level":3,"score":0.6385009288787842},{"id":"https://openalex.org/C50292564","wikidata":"https://www.wikidata.org/wiki/Q2462783","display_name":"Computational learning theory","level":3,"score":0.5812912583351135},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.575749933719635},{"id":"https://openalex.org/C115903097","wikidata":"https://www.wikidata.org/wiki/Q7094097","display_name":"Online machine learning","level":3,"score":0.5502630472183228},{"id":"https://openalex.org/C24138899","wikidata":"https://www.wikidata.org/wiki/Q17141258","display_name":"Instance-based learning","level":3,"score":0.527055025100708},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.493585467338562},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.472535640001297},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.4467051923274994},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.4433855414390564},{"id":"https://openalex.org/C77967617","wikidata":"https://www.wikidata.org/wiki/Q4677561","display_name":"Active learning (machine learning)","level":2,"score":0.4248952567577362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17273259162902832},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:33980390","doi":null,"is_oa":false,"landing_page_url":"https://dl.acm.org/citation.cfm?id=164161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2583513541","https://openalex.org/W204818622","https://openalex.org/W7095390961","https://openalex.org/W7098521235","https://openalex.org/W6941062676","https://openalex.org/W4406232154","https://openalex.org/W7099350460","https://openalex.org/W7204958845","https://openalex.org/W4379468902"],"abstract_inverted_index":{"Due":[0],"to":[1,10,72,123,138,148,166,194],"advances":[2],"in":[3,16,29,34,55,101],"the":[4,6,23,38,43,49,69,73,80,170,196],"sciences,":[5],"ability":[7],"of":[8,58,68,75,82,107,157,172,185,200,221],"mankind":[9],"collect":[11],"data":[12,30,35,44],"has":[13],"increased":[14],"enormously":[15],"recent":[17],"years.":[18],"In":[19,51,189],"many":[20],"different":[21],"areas,":[22],"research":[24,54],"bottleneck":[25],"is":[26,61,66,93,136,160,187,192,211,216],"no":[27],"longer":[28],"collection,":[31],"but":[32],"rather":[33],"interpretation.":[36],"Often,":[37],"underlying":[39],"processes":[40],"described":[41],"by":[42],"are":[45],"very":[46],"complex,":[47],"compounding":[48],"problem.":[50],"response,":[52],"much":[53],"computer":[56],"analysis":[57,135,159],"large":[59],"datasets":[60],"under":[62,88],"way.":[63],"Machine":[64],"learning":[65,84,116,145,153,186,206],"one":[67],"fields":[70],"responding":[71],"challenge":[74],"this":[76,132,209],"problem.\r\nThis":[77],"thesis":[78],"considers":[79],"interpretation":[81],"machine":[83,144,152,201],"problems":[85,117,146],"and":[86,118,130,140,147,183,213,223],"techniques":[87],"a":[89,94,111,219],"geometric":[90,134],"model.":[91],"Geometry":[92],"useful":[95],"for":[96,104,114,175,205],"several":[97],"reasons.":[98],"It":[99,109,120],"aids":[100],"visualization,":[102],"allowing":[103],"alternative":[105],"ways":[106],"thinking.":[108],"provides":[110],"rigorous":[112],"framework":[113],"analyzing":[115],"methods.":[119],"suggests":[121],"modifications":[122],"methods":[124],"which":[125,162],"can":[126,163],"increase":[127],"their":[128],"usefulness":[129,215],"efficiency.\r\nIn":[131],"thesis,":[133],"used":[137,165,193],"formulate":[139],"analyze":[141],"two":[142],"theoretical":[143],"improve":[149],"an":[150],"existing":[151],"method.":[154],"A":[155,177],"form":[156],"best-case":[158],"presented":[161],"be":[164],"generate":[167],"bounds":[168],"on":[169,208,218],"number":[171],"examples":[173],"needed":[174],"learning.":[176,202],"formal":[178],"trade-off":[179],"between":[180],"available":[181],"memory":[182],"speed":[184],"established.":[188],"addition,":[190],"geometry":[191],"generalize":[195],"decision":[197],"tree":[198],"method":[199],"An":[203],"algorithm":[204],"based":[207],"generalization":[210],"presented,":[212],"its":[214],"demonstrated":[217],"variety":[220],"artificial":[222],"real-world":[224],"databases.":[225]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}