In a recent work, Beierle, Brinkmann and Leander presented recursive tree search for finding APN permutations with linear self-equivalences in small dimensions. this paper, we describe how can be adapted to find many new instances of quadratic functions. particular, found 12,921 functions dimension eight, 35 nine five ten up CCZ-equivalence. Remarkably, two the are permutations. Among 8-bit fun...

We propose a Conditional Random Field (CRF) model for structured regression. By constraining the feature functions as quadratic functions of outputs, the model can be conveniently represented in a Gaussian canonical form. We improved the representational power of the resulting Gaussian CRF (GCRF) model by (1) introducing an adaptive feature function that can learn nonlinear relationships betwee...