Re: Optimal Prediction

2002-03-29 Thread Bill Jefferys
At 2:39 PM -0800 3/28/02, Hal Finney wrote: >Bill Jefferys, <[EMAIL PROTECTED]>, writes: >> >> Ockham's razor is a consequence of probability theory, if you look at >> > > things from a Bayesian POV, as I do. >> >> This is well known in Bayesian circles as the Bayesian Ockham's >> Razor. A s

Bayesianism (Was: Optimal Prediction)

2002-03-29 Thread Wei Dai
On Thu, Mar 28, 2002 at 01:27:18PM -0500, Bill Jefferys wrote: > I think that if this is the issue then we are looking at different > interpretations of "predictive power", as I said. My POV is Bayesian. > I am not thinking in terms of what you can say about ensembles of > universes, but about

Re: Optimal Prediction

2002-03-29 Thread Hal Finney
> From [EMAIL PROTECTED] Fri Mar 29 07:58:20 2002 > Resent-Date: Fri, 29 Mar 2002 07:58:29 -0800 > Date: Fri, 29 Mar 2002 10:57:49 -0500 > To: [EMAIL PROTECTED] > From: Bill Jefferys <[EMAIL PROTECTED]> > Subject: Re: Optimal Prediction > Resent-From: [EMAIL PROTECTED] > X-Mailing-List: <[EMAIL P

Re: Optimal Prediction

2002-03-29 Thread Hal Finney
Sorry, I mis-edited that message. Here it is cleaned up for clarity: Bill Jefferys writes, quoting Hal Finney: > >But not always. You give the example of a strongly biased coin being > >a simpler hypothesis than a fair coin. I don't think that is what > >most people mean by "simpler". If anyt

Re: Optimal Prediction

2002-03-29 Thread Bill Jefferys
At 9:20 AM -0800 3/29/02, Hal Finney wrote: >That's true, but even so, a coin with a .95 chance of coming up heads >and a .05 chance of coming up tails is "simpler" by your definition >than a fair coin, right? Even though the parameter is not adjustable, >the presence of an ad hoc value like .95

Re: Optimal Prediction

2002-03-29 Thread Hal Finney
Bill Jefferys wrote: > At 9:20 AM -0800 3/29/02, Hal Finney wrote: > > >That's true, but even so, a coin with a .95 chance of coming up heads > >and a .05 chance of coming up tails is "simpler" by your definition > >than a fair coin, right? Even though the parameter is not adjustable, > >the pres