We consider the problem of deriving class-size independent generalization bounds for some regularized discriminative multi-category classification methods. In particular, we obtain an expected generalization bound for a standard formulation of multi-category support vector machines. Based on the theoretical result, we argue that the formulation over-penalizes misclassification error, which in t...

The recent data for Bose-Einstein Correlations (BEC) of three-charged particles obtained by NA44 Collaboration have been analysed using theoretical formula with Coulomb wave functions. It has been recently proposed by Alt et al. It turns out that there are discrepancies between these data and the respective theoretical values. To resolve this problem we seek a possibly modified theoretical form...

Full-scale experimental case studies have shown that the induced trench construction method effectively reduces vertical earth load is exerted on culverts installed beneath high embankments. Induced are traditionally designed basis of Marston’s theory; however, various theoretical shortcomings this formulation recently come to light. In paper, a new presented. The proposed analytical model empl...