Remarks on optimum kernels and optimum boundary kernels

Optimum Leaf Removal Increases Nitrogen Accumulation in Kernels of Maize Grown at High Density

Increasing plant density is one of the main approaches of achieving higher yields for modern maize crop. However, there exists leaf redundancy for high-density maize, and leaves of the upper canopy shade more competent leaves at the middle strata. In a two-year field experiments, Jinhai5, a semi-compact corn cultivar, was grown at a density of 105,000 plants ha-1 grown until 3 days after silkin...

Positive Definite Kernels and Boundary Spaces

We consider a kernel based harmonic analysis of “boundary,” and boundary representations. Our setting is general: certain classes of positive definite kernels. Our theorems extend (and are motivated by) results and notions from classical harmonic analysis on the disk. Our positive definite kernels include those defined on infinite discrete sets, for example sets of vertices in electrical networ...

Reproducing kernels , Bergman kernels , Poisson kernels

Boundary Kernels for Distribution Function Estimation

• Boundary effects for kernel estimators of curves with compact supports are well known in regression and density estimation frameworks. In this paper we address the use of boundary kernels for distribution function estimation. We establish the ChungSmirnov law of iterated logarithm and an asymptotic expansion for the mean integrated squared error of the proposed estimator. These results show t...

String Kernels , Fisher Kernels

In this paper we show how the generation of documents can be thought of as a k-stage Markov process, which leads to a Fisher kernel from which the n-gram and string kernels can be reconstructed. The Fisher kernel view gives a more exible insight into the string kernel and suggests how it can be parametrised in a way that re-ects the statistics of the training corpus. Furthermore, the prob-abili...