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1、1OPTIMALLINEARCOMBINATIONSOFNEURALNETWORKSAThesisSubmittedtotheFacultyofPurdueUniversitybySherifHashemInPartialFul llmentoftheRequirementsfortheDegreeofDoctorofPhilosophyDecember1993cCopyright1993bySherifHashem.Internet:shashem@ecn.purdue.edu1TECHNICALREPORTSMS94{4,SCHOOLOF
2、INDUSTRIALENGINEERING.iiACKNOWLEDGMENTSIamindebtedtomyadvisor,ProfessorBruceSchmeiser,forhisguidanceandsup-portthroughoutmygraduatestudiesatPurdue.Bruce,yourinsightsanddiscussionshavebeeninvaluableandIappreciateallwhatyoudidforme.Iamgratefultomyco-advisor,ProfessorYuehwernY
3、ih,formanyhelpfuldiscus-sionsthatenhancedtheapplicationperspectiveofthedissertation.IwouldliketoexpressmydeepestappreciationtoDr.TariqSamadforhisen-couragementandsupport.Tariq,thankyouforyourfriendship.Iexpressmygratitudetotheotheradvisorycommitteemembers:ProfessorsRonaldRa
4、rdinandManoelTenoriofortheirhelpfulcomments.IacknowledgethesupportofDavidRossFellowshipandPurdueResearchFounda-tionresearchgrant6901627fromPurdueUniversity,andNationalScienceFoundationgrantsDMS{8717799and9358158-DDM.AspecialacknowledgementisdevotedtotheSensorandSystemDevelo
5、pmentCenter(SSDC)
6、currentlynamedHoneywellTechnologyCenter
7、HoneywellInc.,Minneapolis,MN,whereIspentoneyearasaResearchIntern.Besidethebroadexposuretomanyreal-worldneuralnetworksapplications,theinteractionswiththeresearchsta atSSDCmademyinternshipauniqueexperienceandhadalargei
8、mpactonthedirectionofmydissertation.InadditiontoDr.TariqSamad,IthankAnoopMathurformanyvaluablediscussionsandsuggestions.Tomywife,Fatma,yourunderstandingandencouragementhelpedmethroughoutthisdissertation.Youandmylovelydaughters,MariamandMarwa, llmylifewithjoyandhappiness.Iam
9、reallygratefultoallofyou.Tomyparents,yourlifelongsupportandinspirationhavealwaysstrengthenedmethroughmanytoughtimes,Godblessyou.iiiTABLEOFCONTENTSPageLISTOFTABLES::::::::::::::::::::::::::::::::viiiLISTOFFIGURES:::::::::::::::::::::::::::::::ixABSTRACT::::::::::::::::::::::
10、:::::::::::::x1.INTRODUCTION::::::::::::::::::::::::::::::11.1Motivation::::::::::
