1. A method for determining dependencies in a tiled loop nest, the method comprising performing by a processor the steps of: obtaining: (i) a set of pre-tiling dependencies (D) corresponding to a statement in an un-tiled loop nest comprising a plurality of loop dimensions, and (ii) a tiling set (G) corresponding to a tiling scheme to be applied to the loop nest, the tiling scheme introducing at least one tiled dimension corresponding to at least one loop dimension of the loop nest; generating based on, at least in part, the set of pre-tiling dependencies (D), a set of modified pre-tiling dependencies (A); generating based on, at least in part, the tiling set (G), a set of compressed intra-tile dependencies (X); compressing the set of modified pre-tiling dependencies (A) using the tiling set (G) to obtain a compressed set of modified pre-tiling dependencies (AG); and generating a set of post-tiling dependencies associated with the statement based on, at least in part, the compressed set and the set of compressed intra-tile dependencies (X).