We study the multiplication of multivariate power series. We show that over large enough fields, the bilinear complexity of the product modulo a monomial ideal M is bounded by th...
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
In order to provide certified security services we must provide indicators that can measure the level of assurance that a complex business process can offer. Unfortunately the fo...
In this paper, we prove for the first time that the learning complexity of Rocchio’s algorithm is O(d+d2 (log d+log n)) over the discretized vector space {0, . . . , n − 1}d ,...
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...