?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4899%2F&rft.title=Nontraditional+Approaches+to+Statistical+Classification%3A+Some+Perspectives+on+Lp-Norm+Methods&rft.creator=Stam%2C+A.&rft.description=The+body+of+literature+on+classification+method+which+estimate+boundaries+between+the+groups+(classes)+by+optimizing+a+function+of+the+L_%7Bp%7D-norm+distances+of+observations+in+each+group+from+these+boundaries%2C+is+maturing+fast.+The+number+of+published+research+articles+on+this+topic%2C+especially+on+mathematical+programming+(MP)+formulations+and+techniques+for+L_%7Bp%7D-norm+classification%2C+is+now+sizable.+This+paper+highlights+historical+developments+that+have+defined+the+field%2C+and+looks+ahead+at+challenges+that+may+shape+new+research+directions+in+the+next+decade.+%0D%0A%0D%0AIn+the+first+part%2C+the+paper+summarizes+basic+concepts+and+ideas%2C+and+briefly+reviews+past+research.+Throughout%2C+an+attempt+is+made+to+integrate+a+number+of+the+most+important+L_%7Bp%7D-norm+methods+proposed+to+date+within+a+unified+framework%2C+emphasizing+their+conceptual+differences+and+similarities%2C+rather+than+focusing+on+mathematical+detail.+In+the+second+part%2C+the+paper+discusses+several+potential+directions+for+future+research+in+this+area.+The+long-term+prospects+of+L_%7Bp%7D-norm+classification+(and+discriminant)+research+may+well+hinge+upon+whether+or+not+the+channels+of+communication+between+on+the+one+hand+researchers+active+in+L_%7Bp%7D-norm+classification%2C+who+tend+to+have+their+roots+primarily+in+decision+sciences%2C+the+management+sciences%2C+computer+sciences+and+engineering%2C+and+on+the+other+hand+practitioners+and+researchers+in+the+statistical+classification+community%2C+will+be+improved.+This+paper+offers+potential+reasons+for+the+lack+of+communication+between+these+groups%2C+and+suggests+ways+in+which+L_%7Bp%7D-norm+research+may+be+strengthened+from+a+statistical+viewpoint.+The+results+obtained+in+L_%7Bp%7D-norm+classification+studies+are+clearly+relevant+and+of+importance+to+all+researchers+and+practitioners+active+in+classification+and+discrimination+analysis.+The+paper+also+briefly+discusses+artificial+neural+networks%2C+a+promising+nontraditional+method+for+classification+which+has+recently+emerged%2C+and+suggests+that+it+may+be+useful+to+explore+hybrid+classification+methods+that+take+advantage+of+the+complementary+strengths+of+different+methods%2C+e.g.%2C+neural+network+and+L_%7Bp%7D-norm+methods.&rft.publisher=WP-96-128&rft.date=1996-12&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4899%2F1%2FWP-96-128.pdf&rft.identifier=++Stam%2C+A.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1588.html%3E++(1996).++Nontraditional+Approaches+to+Statistical+Classification%3A+Some+Perspectives+on+Lp-Norm+Methods.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-96-128+++++