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CIE
2011
Springer
13 years 11 months ago
Towards an Axiomatic System for Kolmogorov Complexity
Abstract. In [She82], it is shown that four of its basic functional properties are enough to characterize plain Kolmogorov complexity, hence obtaining an axiomatic characterization...
Antoine Taveneaux
CAE
2007
15 years 2 months ago
Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity
In 1928, George D. Birkhoff introduced the Aesthetic Measure, defined as the ratio between order and complexity, and, in 1965, Max Bense analyzed Birkhoff's measure from an i...
Jaume Rigau, Miquel Feixas, Mateu Sbert
MFCS
2009
Springer
15 years 4 months ago
Time-Bounded Kolmogorov Complexity and Solovay Functions
Abstract. A Solovay function is a computable upper bound g for prefixfree Kolmogorov complexity K that is nontrivial in the sense that g agrees with K, up to some additive constan...
Rupert Hölzl, Thorsten Kräling, Wolfgang...
93
Voted
NIPS
2007
15 years 1 months ago
Transfer Learning using Kolmogorov Complexity: Basic Theory and Empirical Evaluations
In transfer learning we aim to solve new problems using fewer examples using information gained from solving related problems. Transfer learning has been successful in practice, a...
M. M. Mahmud, Sylvian R. Ray
100
Voted
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
15 years 5 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez