As pointed out by Blum [Blu94], ”nearly all results in Machine Learning [...] deal with problems of separating relevant from irrelevant information in some way”. This paper is concerned with structural complexity issues regarding the selection of relevant Prototypes or Features. We give the first results proving that both problems can be much harder than expected in the literature for various n...

The buried hetero-structure (BH) InGaAsP-InP waveguide is used for asystem of double microring resonators (DMR). The light transmission and location ofresonant peaks are determined for six different sets of ring radii with different ordermode numbers. The effect of changing middle coupling coefficient on the box likeresponse is studied. It is found that the surge of coupling coefficient to the ...

We investigate a model-theoretic property that generalizes the classical notion of “preservation under substructures”. We call this property preservation under substructures modulo bounded cores, and present a syntactic characterization via Σ02 sentences for properties of arbitrary structures definable by FO sentences. As a sharper characterization, we further show that the count of existential...

We consider Filippov sliding motion on a co-dimension 2 discontinuity surface. We give conditions under which Σ is attractive through sliding which are sharper than those given in a previous paper of ours. Under these sharper conditions, we show that the sliding vector field considered in the same paper is still uniquely defined and varies smoothly in x ∈ Σ. A numerical example illustrate our r...