We study the heat kernel for an operator of Laplace type with a δfunction potential concentrated on a closed surface. We derive the general form of the small t asymptotics and calculate explicitly several first heat kernel coefficients.

Kernel methods have been successfully applied to many machine learning problems. Nevertheless, since the performance of kernel methods depends heavily on the type of kernels being used, identifying good kernels among a set of given kernels is important to the success of kernel methods. A straightforward approach to address this problem is cross-validation by training a separate classifier for e...

peanuts, an oilseed crop, contain about 46% oil. the peanut shell can be used as fuel or pallets and its dry matter as feedstuff. the whole pods consist of 1-6 kernels. shelling is done at harvest time when the pod moisture content is 5-10%. in this research, a peanut sheller was designed and developed to separate the shell from the pod. the sheller included a hopper, sheller cylinder, concave,...

In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, w...

Virtualization was discussed and defined as mimicking one interface using another. Different types of virtualization (like native, application-level etc.) were discussed. Understanding Type 1 virtualization requires some background on how CPUs is designed. A processor can operate in two modes: user mode or kernel mode. Also referred to in terms of rings of protection: ring 1 or ring 3 (for user...

In traditional operating systems, user programs suffer from the overhead of system calls because of transitions between the user mode and the kernel mode across their protection boundary. However, this overhead can be eliminated if the user programs can be executed safely inside the kernel mode. We achieve this effect by developing a safe kernel mode execution mechanism using TAL, Typed Assembl...

In this paper, we discuss tree kernels that can be applied for the classification of XML documents based on their DOM trees. DOM trees are ordered trees, in which every node might be labeled by a vector of attributes including its XML tag and the textual content. We describe four new kernels suitable for this kind of trees: a tree kernel derived from the well-known parse tree kernel, the set tr...

In this paper, we present a new kernel for unordered sets of data of the same type. It works by first fitting a set with a Gaussian mixture, then evaluate an efficient kernel on the two fitted Gaussian mixtures. Furthermore, we show that this kernel can be extended to sets embedded in a feature space implicitly defined by another kernel, where Gaussian mixtures are fitted with the kernelized EM...