Correction to the algorithm below. . .
Yes, I don't have that yet since I have only part of an algorithm to test it
with.
This much I have, I'm writing this in the Premise language.
function numeric-similarity {?a ?b}
(put (mean ?a ?b) ?m) (put (sigma ?a ?b) ?s) (put
(z-score ?a ?mean ?sigma) ?za) (put (z-score ?b ?mean ?sigma) ?zb)
; hmmm... scratch my head ... what's next?
end
Any idea what comes next?
~PM
Date: Thu, 20 Feb 2014 11:46:11 -0600
From: [email protected]
To: [email protected]
Subject: Re: [agi] Numeric Similarity
Well, all of your examples have a
positive value.
Can you describe examples of where the result is 0, and where the
result is negative?
Thanks,
Dimitry
On 2/20/2014 10:57 AM, Piaget Modeler wrote:
Thanks for your response Boris.
My aim at the moment is to define a function for any two
numbers a b.
Similarity(a, b) ::= c | c in [-1 .. +1].
Examples:
Similarity(0, 0) = 1.0
Similarity(239420, 239420) = 1.0
Similarity(3.1415926, 3.14) = 0.9995 /* or something
close to but less than one */
Similarity(-7123456789098765, -7123456789098765) = 1.0
And so forth.
From it I gather, your suggestion, not algorithm, is
"initial
comparison between integers is by subtraction, which
compresses miss from !AND to difference by cancelling
opposite-sign bits, & increases match because it’s a
complimentary of that reduced difference.
Division
will further reduce magnitude of miss by converting it
from difference to ratio, which can then be reduced again
by converting it to logarithm, & so on. By reducing
miss, higher power of comparison will also increase
complimentary match. But the costs may grow even faster,
for both operations & incremental syntax to record
incidental sign, fraction, & irrational fraction. The
power of comparison is increased if current-power match
plus miss predict an improvement, as indicated by
higher-order comparison between results from different
powers of comparison. Such “meta-comparison” can discover
algorithms, or meta-patterns."
Similarity(number a, number b) ::= log( (a-b) / ????)
This seems a bit confusing for me.
Your thoughts?
~PM.
-------------------------------------------
AGI
Archives: https://www.listbox.com/member/archive/303/=now
RSS Feed: https://www.listbox.com/member/archive/rss/303/21088071-f452e424
Modify Your Subscription:
https://www.listbox.com/member/?member_id=21088071&id_secret=21088071-58d57657
Powered by Listbox: http://www.listbox.com
