943 resultados para Branch and bounds


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New York, D. Van Nostrand co. stamped below imprint.

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Bibliography: p.331-340.

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Recent studies have documented the growing economic and financial integration between countries. Among other things, this has led to the argument that greater integration results in higher bilateral correlations between returns on national stock markets. This study endeavours to link the two issues by utilizing the assumption that if countries are integrated, they would have to display a minimum level of correlation. This is achieved by constructing a bound on the level of the bilateral correlation, as originally developed by Kasa (1995). In contrast to Kasa, the present studies demonstrate that the correlation bound may not be downward sloping in all cases and careful interpretation of the results is required.

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In this paper we introduce and illustrate non-trivial upper and lower bounds on the learning curves for one-dimensional Gaussian Processes. The analysis is carried out emphasising the effects induced on the bounds by the smoothness of the random process described by the Modified Bessel and the Squared Exponential covariance functions. We present an explanation of the early, linearly-decreasing behavior of the learning curves and the bounds as well as a study of the asymptotic behavior of the curves. The effects of the noise level and the lengthscale on the tightness of the bounds are also discussed.