{"id":"https://openalex.org/W3040124367","doi":null,"title":"Continuous shrinkage prior revisited: a collapsing behavior and remedy","display_name":"Continuous shrinkage prior revisited: a collapsing behavior and remedy","publication_year":2020,"publication_date":"2020-07-04","ids":{"openalex":"https://openalex.org/W3040124367","mag":"3040124367"},"language":"en","primary_location":{"id":"mag:3040124367","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2007.02192v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2007.02192v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031112148","display_name":"Se Yoon Lee","orcid":"https://orcid.org/0000-0002-9551-5562","observed_orcids":["https://orcid.org/0000-0002-9551-5562"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Se Yoon Lee","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9551-5562","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033365412","display_name":"Debdeep Pati","orcid":"https://orcid.org/0000-0002-5345-8635","observed_orcids":["https://orcid.org/0000-0002-5345-8635"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Debdeep Pati","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5345-8635","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087117023","display_name":"Bani K. Mallick","orcid":"https://orcid.org/0000-0003-1776-9839","observed_orcids":["https://orcid.org/0000-0003-1776-9839"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bani K. Mallick","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1776-9839","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9320999979972839,"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"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9320999979972839,"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/T10885","display_name":"Gene expression and cancer classification","score":0.029899999499320984,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.004100000020116568,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bayesian-shrinkage-priors","display_name":"Bayesian shrinkage priors","score":0.7490000128746033},{"id":"https://openalex.org/keywords/posterior-collapse","display_name":"posterior collapse","score":0.5559999942779541},{"id":"https://openalex.org/keywords/horseshoe-prior","display_name":"horseshoe prior","score":0.7990000247955322},{"id":"https://openalex.org/keywords/tail-index-estimation","display_name":"tail index estimation","score":0.8040000200271606},{"id":"https://openalex.org/keywords/high-dimensional-genomic-data","display_name":"high-dimensional genomic data","score":0.5809999704360962},{"id":"https://openalex.org/keywords/gene-expression","display_name":"gene expression","score":0.7570000290870667},{"id":"https://openalex.org/keywords/sparse-signal-detection","display_name":"sparse signal detection","score":0.6579999923706055},{"id":"https://openalex.org/keywords/posterior-mean-estimation","display_name":"posterior mean estimation","score":0.5120000243186951}],"concepts":[{"id":"https://openalex.org/C180145272","wikidata":"https://www.wikidata.org/wiki/Q7504144","display_name":"Shrinkage","level":2,"score":0.8940346240997314},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.8794600963592529},{"id":"https://openalex.org/C102592046","wikidata":"https://www.wikidata.org/wiki/Q7504144","display_name":"Shrinkage estimator","level":5,"score":0.7567406892776489},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6136358976364136},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5990142822265625},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5405672192573547},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4485357403755188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42928263545036316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34762123227119446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3148268461227417},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29633796215057373},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21536588668823242},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.06846785545349121},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.0},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3040124367","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2007.02192v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3040124367","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2007.02192v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.5199999809265137,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1480066506","https://openalex.org/W1571975558","https://openalex.org/W1578641658","https://openalex.org/W1648445109","https://openalex.org/W1663973292","https://openalex.org/W1999814784","https://openalex.org/W2007203457","https://openalex.org/W2036571875","https://openalex.org/W2051405397","https://openalex.org/W2096480363","https://openalex.org/W2114169935","https://openalex.org/W2118001201","https://openalex.org/W2132652773","https://openalex.org/W2134117233","https://openalex.org/W2142819099","https://openalex.org/W2201840673","https://openalex.org/W2439410480","https://openalex.org/W2504181072","https://openalex.org/W2540599737","https://openalex.org/W2731461838","https://openalex.org/W2795989238","https://openalex.org/W2962703692","https://openalex.org/W3037265734"],"related_works":["https://openalex.org/W3118778137","https://openalex.org/W3156994457","https://openalex.org/W2245657786","https://openalex.org/W2395561563","https://openalex.org/W4200290673","https://openalex.org/W2918779340","https://openalex.org/W2532697914","https://openalex.org/W7095804548","https://openalex.org/W3044910373","https://openalex.org/W2104844823"],"abstract_inverted_index":{"Modern":[0],"genomic":[1],"studies":[2],"are":[3,23],"increasingly":[4],"focused":[5],"on":[6],"identifying":[7],"more":[8,10],"and":[9,125,154],"genes":[11],"clinically":[12],"associated":[13],"with":[14,146],"a":[15,29,50,80,85,100,111,115],"health":[16],"response.":[17],"Commonly":[18],"used":[19],"Bayesian":[20,106],"shrinkage":[21,53,107,117],"priors":[22],"designed":[24],"primarily":[25],"to":[26,68,79],"detect":[27],"only":[28],"handful":[30],"of":[31,36,49,58,62,88,99,134,138,143],"signals":[32],"when":[33],"the":[34,37,47,56,72,89,97,105,123,132,144],"dimension":[35],"predictors":[38],"is":[39,75,94,149],"very":[40,77],"high.":[41],"In":[42],"this":[43],"article,":[44],"we":[45],"investigate":[46],"performance":[48],"popular":[51],"continuous":[52],"prior":[54,118],"in":[55,104,131,151,155],"presence":[57,133],"relatively":[59],"large":[60,136],"number":[61,137],"true":[63],"signals.":[64,139],"We":[65,109],"draw":[66],"attention":[67],"an":[69],"undesirable":[70],"phenomenon;":[71],"posterior":[73],"mean":[74],"rendered":[76],"close":[78],"null":[81],"vector,":[82],"caused":[83],"by":[84,96,113],"sharp":[86],"underestimation":[87],"global-scale":[90],"parameter.":[91],"The":[92,140],"phenomenon":[93],"triggered":[95],"absence":[98],"tail-index":[101,124],"controlling":[102],"mechanism":[103],"priors.":[108],"provide":[110,127],"remedy":[112,148],"developing":[114],"global-local-tail":[116],"which":[119],"can":[120,126],"automatically":[121],"learn":[122],"accurate":[128],"inference":[129],"even":[130],"moderately":[135],"collapsing":[141],"behavior":[142],"Horseshoe":[145],"its":[147],"exemplified":[150],"numerical":[152],"examples":[153],"two":[156],"gene":[157],"expression":[158],"datasets.":[159]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2020-07-10T00:00:00"}