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APAL
2010
85views more  APAL 2010»
15 years 2 months ago
Elementary differences between the degrees of unsolvability and degrees of compressibility
Given two infinite binary sequences A, B we say that B can compress at least as well as A if the prefix-free Kolmogorov complexity relative to B of any binary string is at most as ...
George Barmpalias
CAS
1999
60views more  CAS 1999»
15 years 1 months ago
Coincidences Are not Accidental: a Theorem
In this paper, we formalize and prove the statement that coincidences cannot be accidental, a statement that underlies many useful heuristics in mathematics and physics. Our proof...
Vladik Kreinovich
CODES
2000
IEEE
15 years 6 months ago
A method to derive application-specific embedded processing cores
The concept of system-on-a-chip is becoming increasingly popular for the integration of complex systems. New types of processor cores are now available that enable the designer to...
Olivier Hébert, Ivan C. Kraljic, Yvon Savar...
MFCS
2005
Springer
15 years 7 months ago
Dimension Is Compression
Abstract. Effective fractal dimension was defined by Lutz (2003) in order to quantitatively analyze the structure of complexity classes. Interesting connections of effective dim...
María López-Valdés, Elvira Ma...
CORR
2007
Springer
103views Education» more  CORR 2007»
15 years 1 months ago
Physical limits of inference
We show that physical devices that perform observation, prediction, or recollection share an underlying mathematical structure. We call devices with that structure “inference de...
David H. Wolpert