We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
We constructively prove the exact distribution of deletion sizes for unavoidable strings, under the reductive decidability method of Zimin and Bean et al. Bounds such as these on ...
Motivated by the poor performance (linear complexity) of the EM algorithm in clustering large data sets, and inspired by the successful accelerated versions of related algorithms l...
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Different types of two- and three-dimensional representations of a finite metric space are studied that focus on the accurate representation of the linear order among the distance...