On Nov 9, 2007 5:26 AM, Edward W. Porter <[EMAIL PROTECTED]> wrote:
> ED ######>> what is the value or advantage of conditional complexities
> relative to conditional probabilities?
>
Kolmogorov complexity is "universal". For probabilities, you need to
specify the probability space and initial distribution over this
space.
>
> ED ######>> What's a TM?
(Turing Machine, or a code for a universal Turing Machine = a program...)
>
> Also are you saying that the system would develop programs for matching
> patterns, and then patterns for modifying those patterns, etc, So that
> similar patterns would be matched by programs that called a routine for a
> common pattern, but then other patterns to modify them to fit different
> perceptions?
>
Yes, these programs will be compact description od data when enough
data gets collected, so their (posterior) probability will grow with
time. But the most probable programs will be very cryptic, without
redundancy to make the structure evident.

> So are the programs just used for computing Kolmogorov complexity or are
> they also used for generating and matching patterns.
>
It is difficult to say: in AIXI, the direct operation is governed by
the expectimax algorithm, but the algorithm works "in future" (is
derived from the Solomonoff predictor). Hutter mentions alternative
model AIXI_alt, which models actions the same way as the
environment...

> Does it require that the programs exactly match a current pattern being
> received, or does it know when a match is good enough that it can be relied
> upon as having some significance?
>
It is automatic: when you have a program with a good enough match,
then you can "parameterize" it over the difference and apply twice,
thus saving the code. Remember that the programs need to represent the
whole history.

> Can the programs learn that similar but different patterns are different
> views of the same thing?
> Can they learn a generalizational and compositional hierarchy of patterns?

With an egzegetic enough interpretation...

I will comment on further questions in a few hours.

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