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Article #122

Re: Fn approxn - ref

#122
From: Eduardo Sontag
Date: Mon, 16 Nov 1992 19:35
36 lines
2225 bytes
In article <1992Nov16.093150.14265@nuscc.nus.sg> elelko@nuscc.nus.sg (Free Man) writes:

   I am looking for a paper by G.Cybenko entitled 'Approximation by
   superpositions of a sigmoidal function'. It's published in Mathematics
   of control, signals and systems (1989), 2. ...

The journal in question is of course "Mathematics of Control, Signals and
Systems," (Springer Verlag, ISSN 0932-4194), which many consider the best
journal in theoretical aspects of Control and Signal Processing (for one
thing, the rejection rate is extremely high, and this helps maintain
standards).  MCSS is entering Volume 6, and currently has a negligible
publication backlog.  If your library doesn't yet subscribe, I suggest that
you simply ask them to.  It is surprising how many times librarians simply
reply "I didn't know anyone here was interested...".

The paper by Cybenko is a 'classic' and the precise reference is as follows:

  Cybenko, G., ``Approximation by Superpositions of a Sigmoidal Function,''
  {\it Math. Control, Signals, and Systems {\bf 2}(1989): 303-314.

  **** SEE ALSO: ``Correction: Approximation by Superpositions of a Sigmoidal
  Function,'' {\it Math. Control, Signals, and Systems {\bf 5}(1992): 455.

Btw, Cybenko's email address is: George.Cybenko@dartmouth.edu
-- 
Eduardo D. Sontag
Department of Mathematics
Rutgers Center for Systems and Control (SYCON)
Rutgers University
New Brunswick, NJ 08903, USA

(Phone: (908)932-3072; FAX: (908)932-5530)
sontag@hilbert.rutgers.edu

*****  def of "algorithm" (due to Fred Landman, Cornell:)
    'An Al Gore rhythm is what Bill Clinton plays on the saxophone'
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Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!rutgers!igor.rutgers.edu!control.rutgers.edu!sontag
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Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!rutgers!igor.rutgers.edu!control.rutgers.edu!sontag
From: sontag@control.rutgers.edu (Eduardo Sontag)
Newsgroups: sci.engr.control,comp.ai.neural-nets
Subject: Re: Fn approxn - ref
Message-ID: <Nov.16.14.35.30.1992.26325@control.rutgers.edu>
Date: 16 Nov 92 19:35:31 GMT
References: <1992Nov16.093150.14265@nuscc.nus.sg>
Reply-To: sontag@hilbert.rutgers.edu
Followup-To: sci.engr.control
Organization: Rutgers Univ., New Brunswick, N.J.
Lines: 36
In-Reply-To: elelko@nuscc.nus.sg's message of 16 Nov 92 09:31:50 GMT