Bob, Rina:

I was speaking off the cuff - I don't immediately have any references to 
give, so until I do, I can't back up my linearity assertions.  I'll let you 
know if I come across anything.

Gordon

At 10:20 PM 5/13/01 -0700, Rina Dechter wrote:

>Gordon,
>
>If you have referenice to this theoretical results or experiments
>it can be very useful.
>Thanks,
>------Rina.
>
>Gordon Hazen wrote:
> >
> > I don't  think so - MC Monte Carlo and Monte Carlo in general provide only
> > a statistical approximation whose convergence is guaranteed, but no
> > guaranteed bound.  What I think is true is that convergence to within a
> > given confidence range is linear in problem size, but of course a 95%
> > confidence bound is only an estimate, not a guarantee.
> >
> > -- Gordon
> >
> > At 07:22 PM 5/12/01 -0700, Bob Welch wrote:
> > >Gordon:
> > >
> > >If that were true then wouldn't there be a counter example to the NP hard
> > >results for both exact and approximate solutions?
> > >
> > >Bob
> > >----- Original Message -----
> > >From: "Gordon Hazen" <[EMAIL PROTECTED]>
> > >To: <[EMAIL PROTECTED]>
> > >Sent: Friday, May 11, 2001 7:49 PM
> > >Subject: Re: [UAI] how to evaluate approximate algorithms when exact
> > >solution is not available?
> > >
> > >
> > > > Empirical studies would be interesting.  Why not run an exact 
> algorithm if
> > > > one has huge amounts of time available?  Because, as I understand it,
> > > > peformance for Gibbs is linear in problem size, whereas performance 
> for an
> > > > exact algorithm is exponential in problem size.
> > > >
> > > > -- Gordon
> > > >
> >
> > Gordon Hazen
> > IE/MS Department, McCormick School of Engineering and Applied Science
> > Northwestern University, Evanston, IL.  USA 60208-3119
> > Phone 847-491-5673      Fax 847-491-8005
> > Web: www.iems.nwu.edu/~hazen/
>
>--
>-----------------------------------------------------------------------------
>Rina Dechter                                    [EMAIL PROTECTED]
>Information and Computer Science Dept.          (949) 824-6556
>University of California, Irvine                fax: (949)-824-4056
>Irvine, CA 92717
>http://www.ics.uci.edu/~dechter


Gordon Hazen
IE/MS Department, McCormick School of Engineering and Applied Science
Northwestern University, Evanston, IL.  USA 60208-3119
Phone 847-491-5673      Fax 847-491-8005
Web: www.iems.nwu.edu/~hazen/

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