Path: utzoo!attcan!uunet!aplcen!samsung!cs.utexas.edu!hellgate.utah.edu!helios.ee.lbl.gov!ucsd!sdcc6!sdcc13!pa1159 From: pa1159@sdcc13.ucsd.edu (Matt Kennel) Newsgroups: comp.ai.neural-nets Subject: Re: Neural Network for ranking football teams. Keywords: Hopfield nets, linear algebra Message-ID: <5285@sdcc6.ucsd.edu> Date: 21 Nov 89 08:15:25 GMT References: <13645@boulder.Colorado.EDU> <80663@linus.UUCP> Sender: news@sdcc6.ucsd.edu Reply-To: pa1159@sdcc13.ucsd.edu (Matt Kennel) Organization: University of California, San Diego Lines: 22 In article <80663@linus.UUCP> sdo@faron.UUCP (Sean D. O'Neil) writes: > >Note that I am NOT saying that Hopfield or constraint satisfaction networks >have no use. Often one wishes to constrain values that the outputs of the >network can take on. This is usually done implicitly by shaping the transfer >or activation function in some way---typically a sigmoidal shape is used. >In such cases, one CANNOT take the algebraic approach I described above and >it is often the case that the easiest solution technique is to run the >network and let it converge. Simon says, "Lagrange multipliers." Matt Kennel pa1159@sdcc13.ucsd.edu