Linear Variations

Variations on Minimal Linear Codes

Minimal linear codes are linear codes such that the support of every codeword does not contain the support of another linearly independent codeword. Such codes have applications in cryptography, e.g. to secret sharing. We pursue here their study and construct asymptotically good families of minimal linear codes. We also push further the study of quasi-minimal and almost-minimal linear codes, re...

Neutral Variations Cause Bloat in Linear GP

In this contribution we investigate the influence of different variation effects on the growth of code. A mutation-based variant of linear GP is applied that operates with minimum structural step sizes. Results show that neutral variations are a direct cause for (and not only a result of) the emergence and the growth of intron code. The influence of non-neutral variations has been found to be c...

On the control of linear systems having internal variations

In this paper we show how to embed the variable internal structure present in square implicit descriptions inside an (A, E, B) invariant subspace contained in the kernel of the output map. Thanks to this embedding, we make unobservable the variable internal structure, obtaining in this way a proper closed loop system with a controllable pre speciÞed structure. Copyright c ° 2002 IFAC.

Variations Formulations of the Coupled Theory of Linear Thermoelasticity

Two Variations on Fisher's Linear Discriminant for Pattern Recognition

Discriminants are often used in pattern recognition to separate clusters of points in some multidimensional “feature” space. This paper provides two fast and simple techniques for improving on the classification performance provided by Fisher’s linear discriminant for two classes. Both of these methods are also extended to nonlinear decision surfaces through the use of Mercer kernels.