Ed,
From my adventures in physics, I came to the conclusion that my
understanding of the physical world had more to do with 1. My ability
to create and use tools for modeling, i.e. from the physical tools of
an advanced computer system to my internal abstraction tools like a
new theorem of
In fact Physics are not random. But let's go a little further,
and here's what I want to say.
Physics are deterministic. Deterministic means that given a
system in one state, the following state can be inferred by
applying physics rules. It also works backwards: a given state
has only one
The other text book that I know is by Cristian S. Calude, the Prof. of
complexity theory that I studied under here in New Zealand. A new
version of this book just recently came out. Going by the last version,
the book will be somewhat more terse than the Li and Vitanyi book and
thus more
Hi Cliff,
Sorry about the delay... I've been out sailing watching the America's
Cup racing --- just a pity my team keeps losing to the damn Swiss! :(
Anyway:
Cliff Stabbert wrote:
SL This seems to be problematic to me. For example, a random string
SL generated by coin flips is not
Hi Cliff,
So Solomonoff induction, whatever that precisely is, depends on a
somehow compressible universe. Do the AIXI theorems *prove* something
along those lines about our universe,
AIXI and related work does not prove that our universe is compressible.
Nor do they need to. The sun seems
Cliff Stabbert wrote:
[On a side note, I'm curious whether and if so, how, lossy compression
might relate. It would seem that in a number of cases a simpler
algorithm than expresses exactly the behaviour could be valuable in
that it expresses 95% of the behaviour of the environment being
Tuesday, February 11, 2003, 9:44:31 PM, Shane Legg wrote:
SL However even within this scenario the concept of fixed goal is
SL something that we need to be careful about. The only real goal
SL of the AIXI system is to get as much reward as possible from its
SL environment. A goal is just our
Hi Cliff,
I'm not good at math -- I can't follow the AIXI materials and I don't
know what Solomonoff induction is. So it's unclear to me how a
certain goal is mathematically defined in this uncertain, fuzzy
universe.
In AIXI you don't really define a goal as such. Rather you have
an agent
