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Search Results for Collection: Mathematical Sciences Research Collection
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(Cambridge University Press, 2010-12)The development of computer models for numerical simulation of the atmosphere and oceans is one of the great scientific triumphs of the past fifty years. These models have added enormously to our understanding of the ...
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(Springer, 2010-08)The spectrum of atmospheric motions is vast, encompassing phenomena having periods ranging from seconds to millennia. The motions of interest to the forecaster typically have time-scales of a day or longer, but the ...
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(World Meteorological Organization, 2010-06)Remarkable advances in weather forecasts during the past half-century have brought great benefits to humanity. Accurate forecasts save many lives, and early warnings mitigate the worst effects of extreme weather events, ...
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(2010-12-11)Network modeling can be approached using either discriminative or probabilistic models. In the task of link prediction a probabilistic model will give a probability for the existence of a link; while in some scenarios ...
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(Elsevier, 2010-07)In 1976 Procesi and Schacher developed an Artin–Schreier type theory for central simple algebras with involution and conjectured that in such an algebra a totally positive element is always a sum of hermitian squares. In ...
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(Springer, 2010)This paper proposes a new probabilistic classification algorithm using a Markov random field approach. The joint distribution of class labels is explicitly modelled using the distances between feature vectors. Intuitively, ...
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(Journal of Machine Learning Research (JMLR), 2010)The p* model is widely used in social network analysis. The likelihood of a network under this model is impossible to calculate for all but trivially small networks. Various approximation have been presented in the literature, ...
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(Elsevier, 2010-05)It is known that, for any simply connected proper subdomain Omega of the complex plane and any point zeta in Omega, there are holomorphic functions on Omega that have "universal" Taylor series expansions about zeta; that ...
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(Royal Irish Academy, 2010)Certain families of quaternion and octonion algebras are conjectured to be of level and sublevel n. A proof of this conjecture is offered in the case where n is a power of two. Hoffmann's proof of the existence of infinitely ...
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(London Mathematical Society, 2010-11-06)This paper characterizes the subsets E of the unit disc D with the property that the supremum of |f| over E equals the supremum over D for all functions f in the Nevanlinna class.