Given a bimodal system defined by the equations { ẋ(t) = A1x(t) + Bu(t) if cx(t) ≤ 0 ẋ(t) = A2x(t) + Bu(t) if cx(t) ≥ 0 (1) where B ∈Mn,m and Ai ∈Mn, i = 1, 2, are such that A1, A2 coincide on the hyperplane V =Kerc. We consider in the set of matrices defining the above systems the simultaneous feedback equivalence defined by ([A1, B], [A2, B]) ∼ ([A1, B′], [A2, B′]) if [Ai B ′] = S−1[Ai B] [ S...

A novel method is introduced for constructing two-dimensional (2D) surface meshes embedded in three-dimensional (3D) space time and 3D hypersurface four-dimensional (4D) time. In particular, we begin by dividing the space–time domain into slabs. Each slab equipped with an initial plane (hyperplane), conjunction unstructured simplicial (hypersurface) mesh that covers plane. We then obtain vertic...

The process of placing a separating hyperplane for data classification is normally disconnected from the process of selecting the features to use. An approach for feature selection that is conceptually simple but computationally explosive is to simply apply the hyperplane placement process to all possible subsets of features, selecting the smallest set of features that provides reasonable class...

The central curve of a linear program is an algebraic curve specified by linear and quadratic constraints arising from complementary slackness. It is the union of the various central paths for minimizing or maximizing the cost function over any region in the associated hyperplane arrangement. We determine the degree, arithmetic genus and defining prime ideal of the central curve, thereby answer...

AdaBoost produces a linear combination of weak hypotheses. It has been observed in practice that the generalization error of the algorithm continues to improve even after all examples are classified correctly by the current linear combination, i.e. by a hyperplane in feature space where each weak hypothesis is a dimension. The improvement is attributed to the experimental observation that the d...

Outline 1 Fixed priority 2 Priority assignment 3 Scheduling analysis 4 A necessary and sufficient test 5 Sensitivity 6 Hyperplane analysis 7 Conclusions 8 Esercizi Calcolo del tempo di risposta Calcolo del tempo di risposta con aperiodici Hyperplane analysis