Data is growing very fast. Today one can spot business trends, detect environmental changes, predict forthcoming social agendas and combat crime, by analyzing large data sets. However, this so-called ”Big Data” analytics is challenging because they have unprecedentedly large volumes. In this presentation, we describe a new approach based on the recent theory of compressive sensing to address the issue of processing, transporting and storing large data sets of enormous sizes gathered from high-resolution sensors and the Internet. based on the recent theory of compressive sensing to address the issue of processing, transporting and storing large data sets of enormous sizes gathered from high-resolution sensors and the Internet.