The Bethe-Salpeter amplitude $\mathrm{\ensuremath{\Phi}}(k,p)$ is expressed, by means of the Nakanishi integral representation, via a smooth function $g(\ensuremath{\gamma},z)$. This satisfies canonical equation $g=Ng$. However, calculations kernel $N$ in this equation, presented previously, were restricted to one-boson exchange and, depending on method, dealt with complex multivalued functions...

A Geiger-mode avalanche photodiode (GM-APD) laser radar range image has much noise when the signal-to-background ratios (SBRs) are low, making it difficult to recover real target scene. In this paper, based on GM-APD lidar denoising model of fractional-order total variation (FOTV), spatial relationship and similarity between pixels obtained by using a kernel function optimize fractional differe...

Mono-nuclear kernel function is presented in this paper based on the fuzzy c-means clustering algorithm for data clustering to do the improvement in the field of data mining, puts forward the fuzzy c-means clustering algorithm based on multiple kernel function (MKFCM) algorithm. Under fully unsupervised learning method, a set of Gaussian kernel function combination are assigned different weight...

The problem of development of the SVM classifier based on the modified particle swarm optimization has been considered. This algorithm carries out the simultaneous search of the kernel function type, values of the kernel function parameters and value of the regularization parameter for the SVM classifier. Such SVM classifier provides the high quality of data classification. The idea of particle...