Internet protocol (IP) packet filtering as a firewall (FW) technology is one of the most widely researched networks functions over past two decades. IP process incoming and outgoing network packets by matching several headers fields with thousands predefined filters known filter-set. With development modern technologies such software-defined networking (SDN) increase in attacks threatening secu...

In this paper we explore the "vector semantics" problem from the perspective of "almost orthogonal" property of high-dimensional random vectors. We show that this intriguing property can be used to "memorize" random vectors by simply adding them, and we provide an efficient probabilistic solution to the set membership problem. Also, we discuss several applications to word context vector embeddi...

A reduced-rank framework with set-membership filtering (SMF) techniques is presented for adaptive beamforming problems encountered in radar systems. We develop and analyze stochastic gradient (SG) and recursive least squares (RLS)-type adaptive algorithms, which achieve an enhanced convergence and tracking performance with low computational cost as compared to existing techniques. Simulations s...

In order to improve the performances of the recently-presented improved normalized subband adaptive filter (INSAF) algorithm for highly noisy system, this paper proposes a set-membership version of the INSAF algorithm (SM-INSAF) by exploiting the concept of the set-membership filtering. Apart from obtaining lower steady-state error under the same convergence rate, the proposed algorithm signifi...