id author title date pages extension mime words sentences flesch summary cache txt work_z6a2e7o6xneifhhzpx4u5zutgi Hector Zenil Two-dimensional Kolmogorov complexity and an empirical validation of the Coding theorem method by compressibility 2015 31 .pdf application/pdf 11780 1258 45 The technique is interesting because it provides a natural algorithmic process for symmetry breaking generating complex n-dimensional structures frequency of the set of 2-dimensional Turing machines to classify the algorithmic results from the Coding theorem method to approximate the Kolmogorov complexity of Figure 2 The top 36 objects in D(4,2)2D preceded by their Km,2D values, sorted by higher to lower frequency and therefore from smaller to larger Kolmogorov complexity after application of the Coding lossless compression method as approximation techniques to Kolmogorov complexity. length (files with more complex (random) strings are expected to be less compressible Figure 7 Top: Distribution of complexity values for different string lengths (l). and smallest to largest compression lengths using the Deflate algorithm as a method to approximate Kolmogorov complexity (Zenil, 2010). Two-dimensional Kolmogorov complexity and an empirical validation of the Coding theorem method by compressibility Two-dimensional Kolmogorov complexity and an empirical validation of the Coding theorem method by compressibility ./cache/work_z6a2e7o6xneifhhzpx4u5zutgi.pdf ./txt/work_z6a2e7o6xneifhhzpx4u5zutgi.txt