On 02 Mar 2016, at 06:22, Brent Meeker wrote:
I don't think it has anything to do with Gödel's incompleteness
theorems. Those are about the relation of proofs and consistency.
Minimizing Fisher information is just maximum entropy (minimal
assumption of information) when both means and variances are known.
It's going to give the exact answer whenever the underlying random
variables are Gaussian; which is why it is widely applicable.
Agreed. If there is a relation, it is with Chaitin or Post theorem.
But I would need to take hours to make this more precise, and perhaps
see that there is no relation with it too. May be later when I have
more time. I need to find my book by Calude first.
Bruno
Brent
On 3/1/2016 7:29 PM, Dan wrote:
Also- minimization of Fisher information is one shockingly
effective approach to statistic inference of models for complex
natural phenomena (e.g., ones involving multiple evolving
interacting agents). When you don't know the true probability
distribution of values for some natural process, the probability
distribution which is most likely to be accurate is the one which
minimizes Fisher information when constrained by the variance of
the samples you have observed. In other words, complex natural
phenomena operate as if they were intentionally trying to minimize
our ability to symbolically reduce them. This is, I think, is just
a restatement of Gödel's incompleteness theorems.
On Tuesday, March 1, 2016 at 10:13:51 PM UTC-5, Dan wrote:
"ELUDING THE DEMON – HOW EXTREME PHYSICAL INFORMATION APPLIES. TO
SEMIOSIS AND COMMUNICATION"
https://www.youtube.com/watch?v=zBX26OD0dXw
Has this work by Roy Frieden and Vinicius Romanini been reviewed
here already?
Also wanted to share the interview for forthcoming video game "No
Man's Sky" below for two reasons: 1) self-similarity and recursion
produced via compact program such as Lindenmayer system (procedural
generation) appear to cause so much apparent diversity and
complexity, and 2) it reveals importance of Fisher information for
understanding our universe in the following way: the world is only
rendered dynamically for a player when there is a player to
observe. Without an observer, there is no transfer of information.
Frieden's EPI variational principles reveal that the process of
information transfer itself can be used to derive solutions to
Euler–Lagrange equations such as all scientific laws in physics as
well as social sciences.
https://www.youtube.com/watch?v=h-kifCYToAU
One other fascinating video! Evolving cellular automata using
genetic algorithms reveals that information transfers from
generation to generation to acheive global coordination/computation
in the form of "particle physics."
https://youtu.be/hdRTcrTYfiQ?list=PLF0b3ThojznRyDQlitfUTzXEXwLNNE-mI
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