Abstract Improvements in computational and experimental capabilities are rapidly increasing the amount of scientific data that routinely generated. In applications constrained by memory intensity, excessively large datasets may hinder discovery, making reduction a critical component data-driven methods. Datasets growing two directions: number points their dimensionality. Whereas dimension typic...

In this paper the problem of sampling from uniform probability distributions is approached by means space-filling curves, a topological concept that has found number important applications in recent years. Departing theoretical fact they are surjective but not necessarily injective, investigation focused upon structure obtained when their domains swept and discrete manner, corresponding values ...

The λ \lambda -property and the uniform were first introduced by R. Aron Lohman in 1987 as geometric properties of Banach spaces...