{"id":"https://openalex.org/W7137048084","doi":"https://doi.org/10.1371/journal.pcbi.1014039","title":"Approximate Bayesian inference of directed acyclic graphs in biology with flexible priors on edge states","display_name":"Approximate Bayesian inference of directed acyclic graphs in biology with flexible priors on edge states","publication_year":2026,"publication_date":"2026-03-16","ids":{"openalex":"https://openalex.org/W7137048084","doi":"https://doi.org/10.1371/journal.pcbi.1014039","pmid":"https://pubmed.ncbi.nlm.nih.gov/41838802"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1014039","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1014039","pdf_url":null,"source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1371/journal.pcbi.1014039","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081272739","display_name":"Evan A. Martin","orcid":"https://orcid.org/0000-0003-2101-536X"},"institutions":[{"id":"https://openalex.org/I155093810","display_name":"University of Idaho","ror":"https://ror.org/03hbp5t65","country_code":"US","type":"education","lineage":["https://openalex.org/I155093810"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Evan A. Martin","raw_affiliation_strings":["The Bioinformatics and Computational Biology Program, University of Idaho, Moscow, Idaho, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Bioinformatics and Computational Biology Program, University of Idaho, Moscow, Idaho, United States of America","institution_ids":["https://openalex.org/I155093810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129564811","display_name":"Venkata Patchigolla","orcid":null},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkata Patchigolla","raw_affiliation_strings":["The MD-PhD Program, Wayne State University School of Medicine, Detroit, Michigan, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The MD-PhD Program, Wayne State University School of Medicine, Detroit, Michigan, United States of America","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081468832","display_name":"Audrey Qiuyan Fu","orcid":"https://orcid.org/0000-0002-3479-5652"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Audrey Qiuyan Fu","raw_affiliation_strings":["Department of Family Medicine and Public Health Sciences, Center for Molecular Medicine and Genetics, Institute for AI and Data Science, Wayne State University, Detroit, Michigan, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-3479-5652","affiliations":[{"raw_affiliation_string":"Department of Family Medicine and Public Health Sciences, Center for Molecular Medicine and Genetics, Institute for AI and Data Science, Wayne State University, Detroit, Michigan, United States of America","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081272739"],"corresponding_institution_ids":["https://openalex.org/I155093810"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.49719463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"3","first_page":"e1014039","last_page":"e1014039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.4115000069141388,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.4115000069141388,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.384799987077713,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.030700000002980232,"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/encode","display_name":"ENCODE","score":0.753600001335144},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.6682000160217285},{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.6568999886512756},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6061000227928162},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.492000013589859},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4758000075817108},{"id":"https://openalex.org/keywords/approximate-inference","display_name":"Approximate inference","score":0.45989999175071716},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.44040000438690186},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43529999256134033},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.42750000953674316}],"concepts":[{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.753600001335144},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.6682000160217285},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.6568999886512756},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6061000227928162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.54830002784729},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.492000013589859},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4758000075817108},{"id":"https://openalex.org/C2777472644","wikidata":"https://www.wikidata.org/wiki/Q16968992","display_name":"Approximate inference","level":3,"score":0.45989999175071716},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.44040000438690186},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43529999256134033},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.42750000953674316},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4099000096321106},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.36980000138282776},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36820000410079956},{"id":"https://openalex.org/C33724603","wikidata":"https://www.wikidata.org/wiki/Q812540","display_name":"Bayesian network","level":2,"score":0.352400004863739},{"id":"https://openalex.org/C158600405","wikidata":"https://www.wikidata.org/wiki/Q5054566","display_name":"Causal inference","level":2,"score":0.34700000286102295},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.34599998593330383},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3343999981880188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33250001072883606},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.3287000060081482},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.32659998536109924},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C189206191","wikidata":"https://www.wikidata.org/wiki/Q222046","display_name":"Genomics","level":4,"score":0.2978000044822693},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.29010000824928284},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2800999879837036},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2791000008583069},{"id":"https://openalex.org/C31266012","wikidata":"https://www.wikidata.org/wiki/Q6554340","display_name":"Linkage (software)","level":3,"score":0.2712000012397766},{"id":"https://openalex.org/C201797286","wikidata":"https://www.wikidata.org/wiki/Q4914986","display_name":"Biological data","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C53052385","wikidata":"https://www.wikidata.org/wiki/Q17104046","display_name":"Mixed graph","level":5,"score":0.2702000141143799},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.26589998602867126},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2603999972343445},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.2587999999523163}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004330","descriptor_name":"Drosophila","qualifier_ui":"Q000196","qualifier_name":"embryology","is_major_topic":false},{"descriptor_ui":"D004330","descriptor_name":"Drosophila","qualifier_ui":"Q000196","qualifier_name":"embryology","is_major_topic":false},{"descriptor_ui":"D004330","descriptor_name":"Drosophila","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":false},{"descriptor_ui":"D004330","descriptor_name":"Drosophila","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":false},{"descriptor_ui":"D014157","descriptor_name":"Transcription Factors","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D014157","descriptor_name":"Transcription Factors","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1371/journal.pcbi.1014039","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1014039","pdf_url":null,"source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:41838802","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41838802","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":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:doaj.org/article:ef7ca948bd784304b3d7cbbc31a51949","is_oa":true,"landing_page_url":"https://doaj.org/article/ef7ca948bd784304b3d7cbbc31a51949","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 22, Iss 3, p e1014039 (2026)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:13046286","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13046286/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1014039","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1014039","pdf_url":null,"source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3884834885","display_name":null,"funder_award_id":"P20GM104420","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"},{"id":"https://openalex.org/G5786885734","display_name":null,"funder_award_id":"P20GM104420","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1517637854","https://openalex.org/W1571907064","https://openalex.org/W1971994117","https://openalex.org/W1973738440","https://openalex.org/W1977620504","https://openalex.org/W1986911601","https://openalex.org/W1992088789","https://openalex.org/W2002248474","https://openalex.org/W2008737153","https://openalex.org/W2012463306","https://openalex.org/W2015271344","https://openalex.org/W2025943989","https://openalex.org/W2038584294","https://openalex.org/W2039473152","https://openalex.org/W2049240721","https://openalex.org/W2057845770","https://openalex.org/W2069898971","https://openalex.org/W2070302210","https://openalex.org/W2074329608","https://openalex.org/W2090160722","https://openalex.org/W2103783427","https://openalex.org/W2111128689","https://openalex.org/W2115984935","https://openalex.org/W2118382442","https://openalex.org/W2122535550","https://openalex.org/W2125631472","https://openalex.org/W2127043599","https://openalex.org/W2127637605","https://openalex.org/W2128088446","https://openalex.org/W2131301064","https://openalex.org/W2144731007","https://openalex.org/W2147769296","https://openalex.org/W2157955324","https://openalex.org/W2176333709","https://openalex.org/W2267567366","https://openalex.org/W2325761966","https://openalex.org/W2945690714","https://openalex.org/W2961737296","https://openalex.org/W2963819041","https://openalex.org/W2989816945","https://openalex.org/W3002588292","https://openalex.org/W3004696339","https://openalex.org/W3081391674","https://openalex.org/W3157142664","https://openalex.org/W3191091729","https://openalex.org/W4211103501","https://openalex.org/W4213321549","https://openalex.org/W4255815262","https://openalex.org/W4399650712","https://openalex.org/W4409121537"],"related_works":[],"abstract_inverted_index":{"Graphical":[0],"models":[1],"are":[2,136,145,183],"widely":[3],"used":[4],"to":[5,47,54,99,150,178],"represent":[6],"dependence":[7],"structures":[8,67],"in":[9,124,138,142],"biological":[10,56],"systems,":[11],"where":[12],"directed":[13],"edges":[14],"may":[15],"encode":[16,48],"causal":[17],"relationships":[18],"under":[19],"appropriate":[20],"assumptions.":[21],"We":[22,96],"present":[23],"baycn":[24,98],"(BAYesian":[25],"Causal":[26],"Network),":[27],"a":[28,62,70,73,110],"novel":[29],"approximate":[30],"Bayesian":[31],"method":[32],"for":[33],"inferring":[34,115],"probabilities":[35,91],"of":[36,109,118],"edge":[37,40,155,167],"directions":[38],"and":[39,50,114,131,166],"absence,":[41],"while":[42,88,169],"allowing":[43],"flexible,":[44],"user-specified":[45],"priors":[46],"sparsity":[49],"an":[51],"input":[52],"graph":[53,66,165],"incorporate":[55],"knowledge.":[57],"For":[58],"inference,":[59],"we":[60],"develop":[61],"Metropolis-Hastings-like":[63],"sampler":[64],"over":[65],"based":[68],"on":[69,154],"pseudo-posterior":[71],"with":[72],"plug-in":[74],"likelihood,":[75],"which":[76],"eliminates":[77],"potentially":[78],"high-dimensional":[79],"nuisance":[80],"parameters.":[81],"This":[82],"formulation":[83],"substantially":[84,159],"improves":[85],"computational":[86],"efficiency":[87],"yielding":[89],"posterior":[90],"that":[92,135],"reflect":[93],"Markov":[94],"equivalence.":[95],"apply":[97],"two":[100],"genomic":[101],"applications:":[102],"distinguishing":[103],"direct":[104],"from":[105],"indirect":[106],"target":[107],"genes":[108],"shared":[111],"genetic":[112],"variant,":[113],"combinatorial":[116],"binding":[117],"transcription":[119],"factors":[120],"during":[121],"tissue":[122],"differentiation":[123],"Drosophila":[125],"embryos.":[126],"Both":[127],"applications":[128,144],"involve":[129],"discrete":[130],"continuous":[132],"data":[133],"types":[134],"common":[137],"genomics.":[139],"Selected":[140],"variables":[141,149],"these":[143],"treated":[146],"as":[147],"instrumental":[148],"help":[151],"impose":[152],"constraints":[153],"direction.":[156],"Baycn":[157],"demonstrates":[158],"improved":[160],"accuracy":[161],"at":[162],"both":[163],"the":[164],"levels,":[168],"existing":[170],"methods":[171],"do":[172],"not":[173],"handle":[174],"mixed":[175],"data,":[176],"fail":[177],"capture":[179],"weak":[180],"signals,":[181],"or":[182],"computationally":[184],"infeasible.":[185]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2026-03-17T00:00:00"}