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Machine-learning solutions to classification, clustering and matching problems critically depend on the adopted metric, which in the past was selected heuristically. In the last decade, it has been demonstrated that an appropriate metric can be learnt from data, resulting in superior performance as compared with traditional metrics. This has recently stimulated a considerable interest in the to...

whose kernel k(t, s) is either discontinuous or not smooth along the main diagonal, is presented. This scheme is of spectral accuracy when k(t, s) is infinitely differentiable away from the diagonal t = s, and is also applicable when k(t, s) is singular along the boundary, and at isolated points on the main diagonal. The corresponding composite rule is described. Application to integro-differen...

We consider reproducing kernel Hilbert spaces of Dirichlet series with kernels of the form k(s, u) = ∑ ann −s−ū, and characterize when such a space is a complete Pick space. We then discuss what it means for two reproducing kernel Hilbert spaces to be “the same”, and introduce a notion of weak isomorphism. Many of the spaces we consider turn out to be weakly isomorphic as reproducing kernel Hil...

In this study, pulp and kernel of fruits from six Arecaceae species were subjected to proximate analysis, fatty acid composition and total carotenoid content analysis. The species with the highest carbohydrate, lipid and protein values were Ptychosperma macarthurii(70.1 g/100 g in the kernel), Syagrus cearensis(40.6 g/100 g in the kernel), andS. coronata(20.6 g/100 g in the pulp). The ash conte...

The evaluation of an almond collection using morphological variables and identification of self-incompatibility genotype  is useful for selecting pollinizers and for the design of crossing in almond breeding programs. In this study, important morphological traits and self-incompatibilities in 71 almond cultivars and genotypes were studied. Simple and multiplex specific PCR analyses were used in...

We obtain the asymptotic behaviour of the nearest-neighbour level spacing distribution for a q-deformed unitary random matrix ensemble. The q-deformed unitary random matrix ensemble introduced in [1] describes a transition in spectral statistics from the highly correlated Gaussian unitary ensemble [2] (GUE, q → 1) towards a completely uncorrelated Poisson ensemble (q → 0) as a function of q. Su...