The main resource allocation research challenge in network virtualization is the Virtual Network Embedding (VNE) Problem. It consists of two stages, usually performed separately: node mapping and link mapping. A new mathematical multi-constraint routing framework for linear and non-linear metrics called “paths algebra” has already been proposed to solve the second stage, providing good results ...

In this paper basically we have compared the efficiency of image retrieval using the most efficient type of classifiers i.e. Support Vector Machine (SVM) with linear kernel mapping and the Hellinger kernel mapping applied to various classes of images and also varied representation of the corresponding image classes using Matlab R2009a.The results obtained from simulation show that Hellinger ker...

ÐIn this paper, we address the problem of minimizing channel contention of linear-complement communication on wormholerouted hypercubes. Our research reveals that, for traditional routing algorithms, the degree of channel contention of a linearcomplement communication can be quite large. To solve this problem, we propose an alternative approach, which applies processor reordering mapping at com...

In the present contribution we tackle the problem of nonlinear independent component analysis by non-Euclidean Hebbian-like learning. Independent component analysis (ICA) and blind source separation originally were introduced as tools for the linear unmixing of the signals to detect the underlying sources. Hebbian methods became very popular and succesfully in this context. Many nonlinear ICA e...

The mapping of numbers onto space is fundamental to measurement and to mathematics. Is this mapping a cultural invention or a universal intuition shared by all humans regardless of culture and education? We probed number-space mappings in the Mundurucu, an Amazonian indigene group with a reduced numerical lexicon and little or no formal education. At all ages, the Mundurucu mapped symbolic and ...

Let A be a C-algebra acting on a Hilbert space H, σ : A → B(H) be a linear mapping and d : A → B(H) be a σ-derivation. Generalizing the celebrated theorem of Sakai, we prove that if σ is a continuous ∗-mapping then d is automatically continuous. In addition, we show the converse is true in the sense that if d is a continuous ∗-σ-derivation then there exists a continuous linear mapping Σ : A → B...

Let A be a C-algebra acting on a Hilbert space H, σ : A → B(H) be a linear mapping and d : A → B(H) be a σ-derivation. Generalizing the celebrated theorem of Sakai, we prove that if σ is a continuous ∗-mapping then d is automatically continuous. In addition, we show the converse is true in the sense that if d is a continuous ∗-σ-derivation then there exists a continuous linear mapping Σ : A → B...

Multivariate data are difficult to explore. The most popular linear projection techniques mapping data to 2dimensional space often fail to reveal the patterns of interest. Non-linear mapping techniques are both slow and inefficient. In this paper, we propose a heuristic that allows users to adjust the parameters of mapping techniques just by stating their preferences iteratively. The preliminar...