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Positive and Negative Definite Kernels and Their Properties

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The Methods of Distances in the Theory of Probability and Statistics

Abstract

The goals of this chapter are to: Formally introduce positive and negative definite kernels, Describe the properties of positive and negative definite kernels, Provide examples of positive and negative definite kernels and to characterize coarse embeddings in a Hilbert space, Introduce strictly and strongly positive and negative definite kernels.

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References

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Rachev, S.T., Klebanov, L.B., Stoyanov, S.V., Fabozzi, F.J. (2013). Positive and Negative Definite Kernels and Their Properties. In: The Methods of Distances in the Theory of Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4869-3_21

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