{"id":"https://openalex.org/W6899208787","doi":"https://doi.org/10.58079/12ggs","title":"Calculating an LOOCV MSE by hand","display_name":"Calculating an LOOCV MSE by hand","publication_year":2024,"publication_date":"2024-10-11","ids":{"openalex":"https://openalex.org/W6899208787","doi":"https://doi.org/10.58079/12ggs"},"language":"en","primary_location":{"id":"pmh:oai:hypotheses.org:freakonometrics/77662","doi":null,"is_oa":true,"landing_page_url":"https://freakonometrics.hypotheses.org/77662","pdf_url":null,"source":{"id":"https://openalex.org/S4306402281","display_name":"OpenEdition (OpenEdition)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"URI:https://freakonometrics.hypotheses.org","raw_type":"info:eu-repo/semantics/other"},"volume":null,"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://freakonometrics.hypotheses.org/77662","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011892614","display_name":"Arthur Charpentier A","orcid":"https://orcid.org/0000-0003-3654-6286","observed_orcids":["https://orcid.org/0000-0003-3654-6286"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Arthur Charpentier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5011892614"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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":true,"primary_topic":{"id":"https://openalex.org/T13141","display_name":"Statistical Methods and Applications","score":0.4341000020503998,"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/T13141","display_name":"Statistical Methods and Applications","score":0.4341000020503998,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.21809999644756317,"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/T10136","display_name":"Statistical Methods and Inference","score":0.1225999966263771,"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/leave-one-out-cross-validation","display_name":"leave-one-out cross-validation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"mean squared error","score":0.9729999899864197},{"id":"https://openalex.org/keywords/linear-regression","display_name":"linear regression","score":0.9480000138282776},{"id":"https://openalex.org/keywords/least-squares","display_name":"least squares","score":0.7960000038146973},{"id":"https://openalex.org/keywords/small-datasets","display_name":"small datasets","score":0.5730000138282776},{"id":"https://openalex.org/keywords/manual-calculation","display_name":"manual calculation","score":0.5170000195503235},{"id":"https://openalex.org/keywords/statistical-learning","display_name":"statistical learning","score":0.859000027179718}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5940999984741211},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.445499986410141},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3905999958515167},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.3774000108242035},{"id":"https://openalex.org/C2986587452","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical analysis","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3328999876976013},{"id":"https://openalex.org/C2982736386","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Statistical learning","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.32989999651908875},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.310699999332428},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2989000082015991},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C2779677306","wikidata":"https://www.wikidata.org/wiki/Q2732142","display_name":"Statistician","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:hypotheses.org:freakonometrics/77662","doi":null,"is_oa":true,"landing_page_url":"https://freakonometrics.hypotheses.org/77662","pdf_url":null,"source":{"id":"https://openalex.org/S4306402281","display_name":"OpenEdition (OpenEdition)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"URI:https://freakonometrics.hypotheses.org","raw_type":"info:eu-repo/semantics/other"},{"id":"doi:10.58079/12ggs","doi":"https://doi.org/10.58079/12ggs","is_oa":true,"landing_page_url":"https://doi.org/10.58079/12ggs","pdf_url":null,"source":{"id":"https://openalex.org/S4306402281","display_name":"OpenEdition (OpenEdition)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:hypotheses.org:freakonometrics/77662","doi":null,"is_oa":true,"landing_page_url":"https://freakonometrics.hypotheses.org/77662","pdf_url":null,"source":{"id":"https://openalex.org/S4306402281","display_name":"OpenEdition (OpenEdition)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"URI:https://freakonometrics.hypotheses.org","raw_type":"info:eu-repo/semantics/other"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Quality education","score":0.5363620519638062,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Last":[0],"week,":[1],"we":[2,47,58],"had":[3],"an":[4],"\"mid-term\"":[5],"exam,":[6],"for":[7],"our":[8],"introduction":[9],"to":[10],"statistical":[11],"learning":[12],"course.":[13],"The":[14],"question":[15],"is":[16],"simple:":[17],"consider":[18],"three":[19],"points,":[20],"[latex](x_i,y_i)[/latex],":[21],"here":[22,25],"[latex":[23],"display=\"true\"]\\{(0,2),(2,2),(3,1)\\}[/latex]Consider":[24],"some":[26],"linear":[27],"models,":[28],"estimated":[29],"using":[30],"least":[31],"square":[32],"techniques,":[33],"what":[34],"would":[35],"be":[36],"the":[37],"leave-one-out":[38],"cross-validation":[39],"MSE":[40],"?":[41],"I":[42],"like":[43],"this":[44],"exercise":[45],"since":[46],"can":[48],"compute":[49],"everything":[50],"easily,":[51],"by":[52],"hand.":[53],"Since":[54],"at":[55],"each":[56],"step":[57],"remove":[59],"one":[60],"single":[61],"observation,":[62],"only":[63],"two":[64],"observations":[65],"...":[66]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
