The optimization problems associated with various regularization techniques for supervised learning from data (e.g., weight-decay and Tikhonov regularization) are described in the context of Reproducing Kernel Hilbert Spaces. Suboptimal solutions expressed by sparse kernel models with a given upper bound on the number of kernel computational units are investigated. Improvements of some estimate...

Researchers are currently developing new value-added uses for almond shells, an abundant agricultural by-product. Almond varieties are distinguished by processors as being either hard or soft shelled, but these two broad classes of almond also exhibit varietal diversity in shell morphology and physical characters. By defining more precisely the physical and chemical characteristics of almond sh...

Considering the possibility of the harmful side effects of synthetic antioxidants, it is necessary to substitute the synthetic antioxidants by the natural ones, the antioxidants that have been consumed by man for years. The mango seeds were washed and air dried and the kernels were removed manually from the seeds. Mango seed kernel oil was extracted by hexane using soxhlet extraction apparatus....

Small or shrivelled wheat kernels (screenings) that reduce crop value are commonly produced in terminal drought environments. The aim of this study was to establish whether the incorporation of the tiller inhibition (tin) gene would contribute to maintenance of kernel weight and reductions in screenings under terminal water deficit. Five Silverstar near-isogenic lines contrasting in high and lo...

by the method of weight coefficients and techniques of real analysis, ahardy-hilbert-type inequality with a general homogeneous kernel and a bestpossible constant factor is given. the equivalent forms, the operatorexpressions with the norm, the reverses and some particular examples are alsoconsidered.

Making use of complex analytic techniques as well methods involving weight functions, we study a few equivalent conditions Hilbert-type integral inequality with nonhomogeneous kernel and parameters. In the form applications deduce homogeneous kernel, additionally consider operator expressions.

Kernel size is an important component of grain yield in maize breeding programs. To extend the understanding on the genetic basis of kernel size traits (i.e., kernel length, kernel width and kernel thickness), we developed a set of four-way cross mapping population derived from four maize inbred lines with varied kernel sizes. In the present study, we investigated the genetic basis of natural v...

SPACES, AND NORMS OF WEIGHTED COMPOSITION OPERATORS MICHAEL T. JURY Abstract. We prove that the norm of a weighted composition operator on the Hardy space H2 of the disk is controlled by the norm of the weight function in the de Branges-Rovnyak space associated to the symbol of the composition operator. As a corollary we obtain a new proof of the boundedness of composition operators on H2, and ...