an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract We introduce new method of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions. Provide a comparison of the effectiveness o...

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The spatial patterns and processes of cities can be described with various entropy functions. However, spatial entropy always depends on the scale of measurement, and it is difficult to find a characteristic value for it. In contrast, fractal parameters can be employed to characterize scale-free phenomena and reflect the local features of random multi-scaling structure. This paper is devoted to...

We present a very fast algorithm for general matrix factorization of a data matrix for use in the statistical analysis of high-dimensional data via latent factors. Such data are prevalent across many application areas and generate an ever-increasing demand for methods of dimension reduction in order to undertake the statistical analysis of interest. Our algorithm uses a gradient-based approachw...

In this paper we show that it is possible to extend the use of quasi-Monte Carlo for applications of high effective dimension. This is achieved through a combination of a careful construction of the Sobol sequence and an appropriately chosen decomposition of a covariance matrix. The effectiveness of this procedure is demonstrated as we price average options with nominal dimensions ranging up to...

in the present scenario each and every industrial organization is surrounded by an unbrokenable mount known as competition. to subdue this arduous mount, organizations have to encourage the citizenship behavior among employees which enhance the success and effectiveness of an organization, because employees are often viewed as invaluable assets of organizations. as an evident of this, earlier s...

predicting different behaviors in computer networks is the subject of many data mining researches. providing a balanced intrusion detection system (ids) that directly addresses the trade-off between the ability to detect new attack types and providing low false detection rate is a fundamental challenge. many of the proposed methods perform well in one of the two aspects, and concentrate on a su...

In this paper, a new classification scheme of polarimetric synthetic aperture radar (PolSAR) images using fractal dimension as contextual information is proposed. Support vector machines (SVM) due to their ability to handle the nonlinear classifier problem are applied to a new fractal feature vector, which is constructed from Pauli decomposed vector and fractal dimensions. Fractal dimension is ...

Since 1996, the Canadian Forces have been administering the Human Dimensions of Operations survey to Canadian Forces personnel deployed on Peace Support operations. Measuring dimensions such as morale, cohesion, confidence in leadership and stress, amongst others, the Human Dimensions of Operations survey provides Commanding Officers with a tool to measure and monitor important human dimensions...