The filtered complement hypothesis

Filtered Nonlinear Cryptanalysis of Reduced-Round Serpent, and the Wrong-Key Randomization Hypothesis

We present a deterministic algorithm to find nonlinear S-box approximations, and a new nonlinear cryptanalytic technique; the “filtered” nonlinear attack, which achieves the lowest data complexity of any known-plaintext attack on reduced-round Serpent so far. We demonstrate that the Wrong-Key Randomization Hypothesis is not entirely valid for attacks on reduced-round Serpent which rely on linea...

A Filtered Reference – Filtered Error LMS Algorithm

Adaptive filters updated by the least mean square (LMS) algorithm are succesfully implemented in digital control systems. They are utilized for both plant identification and control purposes. In control appications (e.g. in active noise control) the output of the adaptive filter drives the plant input, and the error signal is derived only at the output of the plant. In such cases the filtered r...

The filtered associative network

The filtered martingale problem

Let X be a Markov process characterized as the solution of a martingale problem with generator A, and let Y be a related observation process. The conditional distribution πt of X(t) given observations of Y up to time t satisfies certain martingale properties, and it is shown that any probability-measure-valued process with the appropriate martingale properties can be interpreted as the conditio...

The Complement of a D-Tree is Pure Shellable