6,499 research outputs found

    Classifying Voronoi graphs of hex spheres

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    A hex sphere is a singular Euclidean sphere with four cones points whose cone angles are (integer) multiples of 2*pi/3 but less than 2*pi. Given a hex sphere M, we consider its Voronoi decomposition centered at the two cone points with greatest cone angles. In this paper we use elementary Euclidean geometry to describe the Voronoi regions of hex spheres and classify the Voronoi graphs of hex spheres (up to graph isomorphism).Comment: 14 pages, 9 figure

    Using EEG and NIRS for brain-computer interface and cognitive performance measures: a pilot study

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    This study addresses two important problem statements, namely, selection of training datasets for online Brain-Computer Interface (BCI) classifier training and determination of participant concentration levels during an experiment. The work also attempted a pilot study to integrate electroencephalograms (EEGs) and Near Infra Red Spectroscopy (NIRS) for possible applications such as the BCI and for measuring cognitive levels. Two experiments are presented, the first being a mathematical task interleaved with rest states using NIRS only. In the next, integration of the EEG-NIRS with reference to P300-based BCI systems as well as the experimental conditions designed to elicit the concentration levels (denoted as ON and OFF states here) during the paradigm, are presented. The first experiment indicates that NIRS can be used to differentiate a concentrated (i.e., mental activity) level from the rest. However, the second experiment reveals statistically significant results using the EEG only. We present details about the equipment used, the participants as well as the signal processing and machine learning techniques implemented to analyse the EEG and NIRS data. After discussing the results, we conclude by describing the research scope as well as the possible pitfalls in this work from a NIRS viewpoint, which presents an opportunity for future research exploration for BCI and cognitive performance measures

    Optimized Gillespie algorithms for the simulation of Markovian epidemic processes on large and heterogeneous networks

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    Numerical simulation of continuous-time Markovian processes is an essential and widely applied tool in the investigation of epidemic spreading on complex networks. Due to the high heterogeneity of the connectivity structure through which epidemics is transmitted, efficient and accurate implementations of generic epidemic processes are not trivial and deviations from statistically exact prescriptions can lead to uncontrolled biases. Based on the Gillespie algorithm (GA), in which only steps that change the state are considered, we develop numerical recipes and describe their computer implementations for statistically exact and computationally efficient simulations of generic Markovian epidemic processes aiming at highly heterogeneous and large networks. The central point of the recipes investigated here is to include phantom processes, that do not change the states but do count for time increments. We compare the efficiencies for the susceptible-infected-susceptible, contact process and susceptible-infected-recovered models, that are particular cases of a generic model considered here. We numerically confirm that the simulation outcomes of the optimized algorithms are statistically indistinguishable from the original GA and can be several orders of magnitude more efficient.Comment: 12 pages, 9 figure

    The impact of fiscal policy on government bond spreads in emerging markets

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    Spreads on government bonds are a collective expression of differences in the level of development, risk, expected returns and other essential characteristics of states or regions the bond yields of which we wish to compare. At issue here is a collective expression of factors that work on the bond supply and demand side. These are for example the political environment (or political risks), expected return, economic risks, expected inflation, expected change in the exchange rate, solvency, way in which the bonds of a given state fit into the portfolios of the major investors and so on. The paper identifies the influence of fiscal and non-fiscal factors on movements in spreads on government bonds in emerging markets. The possibility of isolating fiscal from non-fiscal influences on spreads and the identification of the nature of fiscal impacts can be of great importance for the conduct of fiscal policy. The results obtained can be used for an optimisation of fiscal policy so as to avoid negative impacts on yields (i.e. a growth in yields), that is, a growth in the costs of government borrowing. This paper enlarges the line of research by querying whether the structure of deficit financing (domestic or foreign) has an impact on bond yields in emerging markets, and how this impact is reflected on the other determinants of fiscal policy.fiscal policy, spreads, public debt, foreign debt, public finance, financial crisis, budgetary deficit

    Cosmology today-A brief review

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    This is a brief review of the standard model of cosmology. We first introduce the FRW models and their flat solutions for energy fluids playing an important role in the dynamics at different epochs. We then introduce different cosmological lengths and some of their applications. The later part is dedicated to the physical processes and concepts necessary to understand the early and very early Universe and observations of it.Comment: 25 pages, 2 figures, v2: a typo correcte
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