Disjoint systems over set ideals (On a generalization of the usual conception of almost disjoint set systems)
Géza Fodor, Attila Máté (1968)
Fundamenta Mathematicae
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Displaying similar documents to “The performance of a digital FSK system with actual discriminator: time distortions effects”
Disjoint systems over set ideals (On a generalization of the usual conception of almost disjoint set systems)
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Gaussian Process models are often used for predicting and approximating expensive experiments. However, the number of observations required for building such models may become unrealistic when the input dimension increases. In oder to avoid the curse of dimensionality, a popular approach in multivariate smoothing is to make simplifying assumptions like additivity. The ambition of the present work is to give an insight into a family of covariance kernels that allows combining the features...
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The Kalman filter is extensively used for state estimation for linear systems under Gaussian noise. When non-Gaussian Lévy noise is present, the conventional Kalman filter may fail to be effective due to the fact that the non-Gaussian Lévy noise may have infinite variance. A modified Kalman filter for linear systems with non-Gaussian Lévy noise is devised. It works effectively with reasonable computational cost. Simulation results are presented to illustrate this non-Gaussian filtering...
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Roger Crocker (1969)
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Robust optimality of Gaussian noise stability
Elchanan Mossel, Joe Neeman (2015)
Journal of the European Mathematical Society
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We prove that under the Gaussian measure, half-spaces are uniquely the most noise stable sets. We also prove a quantitative version of uniqueness, showing that a set which is almost optimally noise stable must be close to a half-space. This extends a theorem of Borell, who proved the same result but without uniqueness, and it also answers a question of Ledoux, who asked whether it was possible to prove Borell’s theorem using a direct semigroup argument. Our quantitative uniqueness result...