{"id":"https://openalex.org/W2111696995","doi":"https://doi.org/10.1186/1748-7188-7-33","title":"The space of phylogenetic mixtures for equivariant models","display_name":"The space of phylogenetic mixtures for equivariant models","publication_year":2012,"publication_date":"2012-11-28","ids":{"openalex":"https://openalex.org/W2111696995","doi":"https://doi.org/10.1186/1748-7188-7-33","mag":"2111696995","pmid":"https://pubmed.ncbi.nlm.nih.gov/23190710"},"language":"en","primary_location":{"id":"doi:10.1186/1748-7188-7-33","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1748-7188-7-33","pdf_url":"https://almob.biomedcentral.com/counter/pdf/10.1186/1748-7188-7-33","source":{"id":"https://openalex.org/S205663195","display_name":"Algorithms for Molecular Biology","issn_l":"1748-7188","issn":["1748-7188"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms for Molecular Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://almob.biomedcentral.com/counter/pdf/10.1186/1748-7188-7-33","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046205224","display_name":"Marta Casanellas","orcid":"https://orcid.org/0000-0002-1724-8358"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marta Casanellas","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada I, ETSEIB, Universitat Polit\u00e8cnica de Catalunya, Avinguda Diagonal 647, Barcelona, 08028, Spain. marta.casanellas@upc.edu","Departament de Matem\u00e0tica Aplicada I, ETSEIB, Universitat Polit\u00e8cnica de Catalunya, Barcelona,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada I, ETSEIB, Universitat Polit\u00e8cnica de Catalunya, Avinguda Diagonal 647, Barcelona, 08028, Spain. marta.casanellas@upc.edu","institution_ids":[]},{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada I, ETSEIB, Universitat Polit\u00e8cnica de Catalunya, Barcelona,","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001091868","display_name":"Jes\u00fas Fern\u00e1ndez-S\u00e1nchez","orcid":"https://orcid.org/0000-0002-7062-8042"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Fern\u00e1ndez-S\u00e1nchez","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada I, ETSEIB, Universitat Polit\u00e8cnica de Catalunya, Barcelona,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada I, ETSEIB, Universitat Polit\u00e8cnica de Catalunya, Barcelona,","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019773604","display_name":"Anna Kedzierska","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137962","display_name":"Centre for Genomic Regulation","ror":"https://ror.org/03wyzt892","country_code":"ES","type":"funder","lineage":["https://openalex.org/I4210132884","https://openalex.org/I4210137962","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Anna M Kedzierska","raw_affiliation_strings":["Centre for Genomic Regulation (CRG), Dr. Aiguader 88, 08003 Barcelona, Spain","Centre for Genomic Regulation (CRG), Barcelona"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Genomic Regulation (CRG), Dr. Aiguader 88, 08003 Barcelona, Spain","institution_ids":["https://openalex.org/I4210137962"]},{"raw_affiliation_string":"Centre for Genomic Regulation (CRG), Barcelona","institution_ids":["https://openalex.org/I4210137962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046205224"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":1490,"currency":"GBP","value_usd":1827},"apc_paid":{"value":1490,"currency":"GBP","value_usd":1827},"fwci":0.5375,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.66266333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"1","first_page":"33","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.4332999885082245,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10015","display_name":"Genomics and Phylogenetic Studies","score":0.4332999885082245,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11354","display_name":"Evolution and Paleontology Studies","score":0.2809000015258789,"subfield":{"id":"https://openalex.org/subfields/1911","display_name":"Paleontology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.05249999836087227,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equivariant-map","display_name":"Equivariant map","score":0.732189953327179},{"id":"https://openalex.org/keywords/phylogenetic-tree","display_name":"Phylogenetic tree","score":0.7107832431793213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5249640345573425},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5149543881416321},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48599252104759216},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.48461446166038513},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.477954626083374},{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.47279828786849976},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4457135498523712},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3205547332763672},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2915671467781067},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.253139853477478},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2182273268699646},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17400920391082764},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14631977677345276},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.13270443677902222}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.732189953327179},{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.7107832431793213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5249640345573425},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5149543881416321},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48599252104759216},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.48461446166038513},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.477954626083374},{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.47279828786849976},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4457135498523712},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3205547332763672},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2915671467781067},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.253139853477478},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2182273268699646},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17400920391082764},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14631977677345276},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.13270443677902222},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1186/1748-7188-7-33","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1748-7188-7-33","pdf_url":"https://almob.biomedcentral.com/counter/pdf/10.1186/1748-7188-7-33","source":{"id":"https://openalex.org/S205663195","display_name":"Algorithms for Molecular Biology","issn_l":"1748-7188","issn":["1748-7188"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms for Molecular Biology","raw_type":"journal-article"},{"id":"pmid:23190710","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23190710","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms for molecular biology : AMB","raw_type":null},{"id":"pmh:oai:dnet:upcommonspor::93fa9cf45910685d8c9338deef00c70e","is_oa":false,"landing_page_url":"http://hdl.handle.net/2117/17874","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:upcommons.upc.edu:2117/17874","is_oa":false,"landing_page_url":"https://hdl.handle.net/2117/17874","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:europepmc.org:2610000","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3608327","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1186/1748-7188-7-33","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1748-7188-7-33","pdf_url":"https://almob.biomedcentral.com/counter/pdf/10.1186/1748-7188-7-33","source":{"id":"https://openalex.org/S205663195","display_name":"Algorithms for Molecular Biology","issn_l":"1748-7188","issn":["1748-7188"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms for Molecular Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G736114597","display_name":null,"funder_award_id":"SGR 1284","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"}],"funders":[{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2111696995.pdf","grobid_xml":"https://content.openalex.org/works/W2111696995.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W161323843","https://openalex.org/W292082326","https://openalex.org/W1525734744","https://openalex.org/W1584154100","https://openalex.org/W1596185498","https://openalex.org/W1967502908","https://openalex.org/W1977411708","https://openalex.org/W1982431194","https://openalex.org/W1988024444","https://openalex.org/W2001415322","https://openalex.org/W2008039602","https://openalex.org/W2016299000","https://openalex.org/W2022954425","https://openalex.org/W2023187118","https://openalex.org/W2023998798","https://openalex.org/W2039087339","https://openalex.org/W2057853309","https://openalex.org/W2060967837","https://openalex.org/W2065461553","https://openalex.org/W2114093317","https://openalex.org/W2120663737","https://openalex.org/W2126044526","https://openalex.org/W2130778056","https://openalex.org/W2132775530","https://openalex.org/W2135440275","https://openalex.org/W2137668707","https://openalex.org/W2159959520","https://openalex.org/W2165801219","https://openalex.org/W2273523373","https://openalex.org/W2951723077","https://openalex.org/W2962845623","https://openalex.org/W4233815609"],"related_works":["https://openalex.org/W2034041141","https://openalex.org/W2184661725","https://openalex.org/W2900187352","https://openalex.org/W2105626102","https://openalex.org/W2573470972","https://openalex.org/W2362218761","https://openalex.org/W1997023990","https://openalex.org/W2062354928","https://openalex.org/W2113708670","https://openalex.org/W2088120817"],"abstract_inverted_index":{"BACKGROUND:":[0],"The":[1,184],"selection":[2],"of":[3,34,40,78,82,92,97,107,119,133,149,156,167,178,180,186,217],"an":[4,52,108,123,204],"evolutionary":[5,65,125,200],"model":[6,48,66,126,162,231],"to":[7,61,174,207,225],"best":[8],"fit":[9],"given":[10],"molecular":[11],"data":[12],"is":[13,192],"usually":[14],"a":[15,41,117,147,176,193,215,227],"heuristic":[16],"choice.":[17],"In":[18,99],"his":[19],"seminal":[20],"book,":[21],"J.":[22],"Felsenstein":[23],"suggested":[24],"that":[25,104,196],"certain":[26],"linear":[27,86,140,194],"equations":[28,58,87,141,152,210],"satisfied":[29],"by":[30,116],"the":[31,38,64,80,90,105,131,139,199,209],"expected":[32],"probabilities":[33],"patterns":[35,134],"observed":[36,109],"at":[37,135],"leaves":[39],"phylogenetic":[42,120,157,181,187],"tree":[43],"could":[44],"be":[45,114,226],"used":[46],"for":[47,74,159,164,214,230],"selection.":[49,232],"It":[50],"remained":[51],"open":[53],"question,":[54],"however,":[55],"whether":[56],"these":[57,85,172,212],"were":[59],"sufficient":[60],"fully":[62,197],"characterize":[63],"under":[67,122,189],"consideration.":[68],"RESULTS:":[69],"Here":[70],"we":[71,102,145,170],"prove":[72,103],"that,":[73],"most":[75],"equivariant":[76,124,161,190],"models":[77,191,218],"evolution,":[79],"space":[81,91,155,185,195],"distributions":[83,93],"satisfying":[84],"coincides":[88],"with":[89],"arising":[94],"from":[95],"mixtures":[96,158,188],"trees.":[98],"other":[100],"words,":[101],"evolution":[106],"multiple":[110],"sequence":[111],"alignment":[112],"can":[113],"modeled":[115],"mixture":[118],"trees":[121],"if":[127,130],"and":[128,163,219],"only":[129],"distribution":[132],"its":[136],"columns":[137],"satisfies":[138],"mentioned":[142],"above.":[143],"Moreover,":[144],"provide":[146,203],"set":[148],"linearly":[150],"independent":[151],"defining":[153,211],"this":[154],"each":[160],"any":[165],"number":[166,216],"taxa.":[168,220],"Lastly,":[169],"use":[171],"results":[173],"perform":[175],"study":[177],"identifiability":[179],"mixtures.":[182],"CONCLUSIONS:":[183],"characterizes":[198],"model.":[201],"We":[202],"explicit":[205],"algorithm":[206],"obtain":[208],"spaces":[213],"Its":[221],"implementation":[222],"has":[223],"proved":[224],"powerful":[228],"tool":[229]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
