This study applies the RBF wavelet series to the evaluation of analytical solutions of linear time-dependent wave and diffusion problems of any dimensionality and geometry. To the best of the author’s knowledge, such analytical solutions have never been achieved before. The RBF wavelets can be understood an alternative for multidimensional problems to the standard Fourier series via fundamental...

Kernel function, which allows the formulation of nonlinear variants of any algorithm that can be cast in terms of dot products, makes the Support Vector Machines (SVM) have been successfully applied in many fields, e.g. classification and regression. The importance of kernel has motivated many studies on its composition. It’s well-known that reproducing kernel (R.K) is a useful kernel function ...

The linear least mean squares (LMS) algorithm has been recently extended to a reproducing kernel Hilbert space, resulting in an adaptive filter built from a weighted sum of kernel functions evaluated at each incoming data sample. With time, the size of the filter as well as the computation and memory requirements increase. In this paper, we shall propose a new efficient methodology for constrai...

Template attacks and machine learning are two powerful methods in the field of side channel attacks. In this paper, we aimed to contribute to the novel application of support vector machine (SVM) algorithm in power analysis attacks. Especially, wavelet SVM can approximate arbitrary nonlinear functions due to the multidimensional analysis of wavelet functions and the generalization of SVM. Three...

We propose the “generalized min-max” (GMM) kernel as a measure of data similarity, where data vectors can have both positive and negative entries. GMM is positive definite as there is an associate hashing method named “generalized consistent weighted sampling” (GCWS) which linearizes this (nonlinear) kernel. A natural competitor of GMM is the radial basis function (RBF) kernel, whose correspond...

A new method based on principal component analysis (PCA) and artificial neural networks (ANN) is proposed for fault diagnosis of gearboxes. Firstly the six different base wavelets are considered, in which three are from real valued and other three from complex valued. Two wavelet selection criteria Maximum Energy to Shannon Entropy ratio and Maximum Relative Wavelet Energy are used and compared...

This paper presents experiments using Radial Basis Function (RBF) networks to tackle the unconstrained face recognition problem using low resolution video information. Input representations that mimic the effects of receptive field functions found at various stages of the human vision system were used with RBF networks that learnt to classify and generalise over different views of each person t...

Diabetes Mellitus is a disease where the body cannot use insulin properly, so this one of health problems in various countries. can be fatal, cause other diseases, and even lead to death. Based on this, it essential have prediction activities find out disease. The SVM algorithm used classifying diseases. This study aimed compare accuracy, precision, recall, F1-Score values with kernels data pre...