{"id":"https://openalex.org/W2135090412","doi":"https://doi.org/10.1145/1553374.1553379","title":"Grammatical inference as a principal component analysis problem","display_name":"Grammatical inference as a principal component analysis problem","publication_year":2009,"publication_date":"2009-06-14","ids":{"openalex":"https://openalex.org/W2135090412","doi":"https://doi.org/10.1145/1553374.1553379","mag":"2135090412"},"language":"en","primary_location":{"id":"doi:10.1145/1553374.1553379","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1553374.1553379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th Annual International Conference on Machine Learning","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/A5054562896","display_name":"Rapha\u00ebl Bailly","orcid":null},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Rapha\u00ebl Bailly","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108423452","display_name":"Fran\u00e7ois Denis","orcid":null},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Denis","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018614433","display_name":"Liva Ralaivola","orcid":"https://orcid.org/0000-0002-4571-1119"},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Liva Ralaivola","raw_affiliation_strings":["Aix-Marseille Universit\u00e9, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9, Marseille, France","institution_ids":["https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054562896"],"corresponding_institution_ids":["https://openalex.org/I21491767"],"apc_list":null,"apc_paid":null,"fwci":2.7098,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.91287853,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"33","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T11567","display_name":"semigroups and automata theory","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9958000183105469,"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/grammar-induction","display_name":"Grammar induction","score":0.7549146413803101},{"id":"https://openalex.org/keywords/probabilistic-automaton","display_name":"Probabilistic automaton","score":0.5884960889816284},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5830767750740051},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5604023337364197},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5503538846969604},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5163037180900574},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.48990434408187866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47940322756767273},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.454944372177124},{"id":"https://openalex.org/keywords/sample-space","display_name":"Sample space","score":0.4373597204685211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4287579357624054},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40342384576797485},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3807418644428253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32010379433631897},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.2512926459312439},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.10349604487419128}],"concepts":[{"id":"https://openalex.org/C56601403","wikidata":"https://www.wikidata.org/wiki/Q5593673","display_name":"Grammar induction","level":3,"score":0.7549146413803101},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.5884960889816284},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5830767750740051},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5604023337364197},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5503538846969604},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5163037180900574},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.48990434408187866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47940322756767273},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.454944372177124},{"id":"https://openalex.org/C100279318","wikidata":"https://www.wikidata.org/wiki/Q467440","display_name":"Sample space","level":2,"score":0.4373597204685211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4287579357624054},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40342384576797485},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3807418644428253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32010379433631897},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.2512926459312439},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.10349604487419128},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1553374.1553379","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1553374.1553379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th Annual International Conference on Machine Learning","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.149.5715","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.5715","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.mcgill.ca/~icml2009/papers/539.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5016363063","display_name":null,"funder_award_id":"ICT-216886-NOE","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1486103693","https://openalex.org/W1616250010","https://openalex.org/W1683541793","https://openalex.org/W1726002263","https://openalex.org/W1778096727","https://openalex.org/W1946137962","https://openalex.org/W2050570613","https://openalex.org/W2108912954","https://openalex.org/W4299414265","https://openalex.org/W6676271528"],"related_works":["https://openalex.org/W2139519154","https://openalex.org/W2950563206","https://openalex.org/W2143754769","https://openalex.org/W2533032519","https://openalex.org/W1550824632","https://openalex.org/W4300232377","https://openalex.org/W2159449605","https://openalex.org/W2058117339","https://openalex.org/W1587826772","https://openalex.org/W1767123124"],"abstract_inverted_index":{"One":[0],"of":[1,22,28,45,50,67,94,101,131,149,162,171,185],"the":[2,43,80,95,113,121,129,163,183],"main":[3],"problems":[4],"in":[5,10,19,87,112,119],"probabilistic":[6,23,68],"grammatical":[7,114],"inference":[8,115,143],"consists":[9],"inferring":[11],"a":[12,16,26,34,65,75,88,109,155],"stochastic":[13,47,51,71],"language,":[14],"i.e.":[15],"probability":[17],"distribution,":[18],"some":[20,168],"class":[21,44],"models,":[24],"from":[25,178],"sample":[27],"strings":[29],"independently":[30],"drawn":[31],"according":[32],"to":[33,136],"fixed":[35],"unknown":[36],"target":[37,164],"distribution":[38],"p.":[39],"Here,":[40],"we":[41,127,175],"consider":[42],"rational":[46],"languages":[48,52,72],"composed":[49,100],"that":[53,181],"can":[54,61,117],"be":[55,62],"computed":[56],"by":[57],"multiplicity":[58,156],"automata,":[59],"which":[60,145,158],"viewed":[63],"as":[64],"generalization":[66],"automata.":[69],"Rational":[70],"p":[73],"have":[74],"useful":[76],"algebraic":[77],"characterization:":[78],"all":[79,102],"mappings":[81],"up:":[82],"v":[83],"\u2192":[84],"p(uv)":[85],"lie":[86],"finite":[89],"dimensional":[90],"vector":[91,96],"subspace":[92,122],"Vp*":[93],"space":[97,151],"\u211d":[98],"\u3008\u3008\u03a3\u3009\u3009":[99],"real-valued":[103],"functions":[104],"defined":[105],"over":[106],"\u03a3*.":[107],"Hence,":[108],"first":[110],"step":[111],"process":[116],"consist":[118],"identifying":[120],"Vp*.":[123],"In":[124],"this":[125,138,150,172],"paper,":[126],"study":[128],"possibility":[130],"using":[132],"Principal":[133],"Component":[134],"Analysis":[135],"achieve":[137],"task.":[139],"We":[140,166],"provide":[141,176],"an":[142,147,160],"algorithm":[144,173],"computes":[146,159],"estimate":[148,161],"and":[152,174],"then":[153],"build":[154],"automaton":[157],"distribution.":[165],"prove":[167],"theoretical":[169],"properties":[170],"results":[177],"numerical":[179],"simulations":[180],"confirm":[182],"relevance":[184],"our":[186],"approach.":[187]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
