Ovidian Linearities

Probabilistic Linearities in Des

This paper examines the Data Encryption Standard (DES) for linear relations that hold on a probabilistic basis. The S-boxes are shown to possess parity relations that hold with a much higher probability than would be expected of random S-boxes, but no method for exploiting this property in cryptanalysis has been found. It is also shown that each S-box can be modeled by an aane mapping with a pr...

Projection pursuit regression for moderate non-linearities

We present methods specially designed to be effective with moderately non-linear regression relationships. The model fitted is of the Projection Pursuit Regression (PPR) type with a smooth, non-parametric link function connecting the mean response to a linear combination of the regressors. New algorithms, close to ordinary linear regression, are developed. Considerable numerical evidence is giv...

Dispersion-induced non-linearities in semiconductors

Blind Removal of Image Non-Linearities

This paper presents a technique for blindly removing image non-linearities in the absence of any calibration information or explicit knowledge of the imaging device. The basic approach exploits the fact that a non-linearity introduces specific higher-order correlations in the frequency domain (beyond second-order). These correlations can be detected using tools from polyspectral analysis. The n...

Precincts of Venus: Towards a Prehistory of Ovidian Genre