Remote sensing images with large sizes are usual. They also include several spectral channels, increasing the volume of information. To get valuable information from data automatically, computers need higher amounts of memory and efficient processing techniques. Segmentation is a key technique to deal with remote sensing. It identifies regions in images. Therefore, it deals with large amounts o...

We propose a spectral technique for analysing intermediate feature space of multiple classifier decisions, which enables a separable subset of patterns to be extracted. The method is applied to finding a set of patterns that are inconsistently classified, a random subset of which is left out of the training set of each expert in a multiple classifier framework.

A new, high-order, conservative, and efficient method for conservation laws on unstructured grids has been developed. It combines the best features of structured and unstructured grid methods to attain computational efficiency and geometric flexibility; it utilizes the concept of discontinuous and high-order local representations to achieve conservation and high accuracy; and it is based on the...

One possible way to solve a partial differential equation in an irregular region X is the use of the so-called domain embedding methods, in where the domain of interest is embedded within a rectangle. In order to apply a Fourier spectral method on the rectangle, the inhomogeneous term f(x,y) has to be extended to a new function g(x,y) that is periodic and infinitely differentiable, and equal to...

Article history: Received 17 June 2009 Received in revised form 4 October 2009 Accepted 13 October 2009 Available online 28 October 2009

This paper presents the spectral method of recognition of an incompletely defined Boolean function. The main goal of analysis is fast estimation whether a given single output function can be extended to affine form. Furthermore, a simple extension algorithm is proposed for functions, for which the affine form is reachable. The algorithm is compared with other methods. Theoretical and experiment...

The standard calculation of the spectrum of density perturbations produced during inflation assumes (i) |n − 1| ≪ 1 and (ii) |dn/d ln k| ≪ |n − 1|. Slow-roll predicts and observations require (i), but neither slow-roll nor observations require (ii). In this paper I derive formulae for the spectrum P, spectral index n, and running of the spectral index dn/d ln k, assuming only (i) and not (ii). ...

In a graph or complex network, communities and anti-communities are node sets whose modularity attains extremely large values, positive and negative, respectively. We consider the simultaneous detection of communities and anti-communities, by looking at spectral methods based on various matrixbased definitions of the modularity of a vertex set. Invariant subspaces associated to extreme eigenval...

Various spectral notions have been employed to grasp the structure of point sets, in particular non-periodic ones. In this article, we present them in a unified setting and explain the relations between them. For the sake of readability, we use Delone sets in Euclidean space as our main object class, and give generalisations in the form of further examples and remarks.