We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual “probabilistic construction”. Also, the best k...
In this paper, it is suggested an approach and a design pattern for developing object-oriented models that need to be persistent, including the databases of moderate size, with us...
— A lot of plumbings such as gas pipes and water pipes exist in public utilities, factories, power plants and so on. It is difficult for humans to inspect them directly because t...
Random forests are one of the best performing methods for constructing ensembles. They derive their strength from two aspects: using random subsamples of the training data (as in b...
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...