{"corpus_id":44875031,"paper_sha":"36ff8570ee4b95f1d280f64070dc4f1957a11427","doi":"10.1016/j.patcog.2006.11.002","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2094308124,"dblp_id":"journals/pr/Loog07","acl_id":null,"title":"On an alternative formulation of the Fisher criterion that overcomes the small sample problem","year":2007,"publication_date":"2007-06-01","venue":"Pattern Recognition","journal":{"name":"Pattern Recognit.","pages":"1753-1755","volume":"40"},"journal_issn":null,"journal_title":null,"publication_types":["JournalArticle"],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Computer Science"],"reference_count":11,"citation_count":1,"influential_citation_count":0,"is_open_access":false,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"In two very recently published rapid and brief communications, both from the same authors, an alternative formulation of the well-known Fisher criterion is presented in order to overcome the 'small sample problem'. A theorem in the first of the two communications provides the basis for the equivalence of both formulations. By providing a simple counterexample, we disprove the theorem. Subsequently, based on an illustrative example, we demonstrate that their criterion differs from the classical one and argue that the proposed criterion is not a suitable measure of discriminability.","claims":[{"public_id":"cl_ad05f95dab12ce1b85d79e327ce1440a","status":"active","text":"The proposed criterion differs from the classical Fisher criterion.","confidence":0.95,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_ad05f95dab12ce1b85d79e327ce1440a"},{"public_id":"cl_bb9fc9c7e82779540934a5f0a9f63b55","status":"active","text":"The proposed criterion is not a suitable measure of discriminability.","confidence":0.93,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous 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