Abstract
We analyze the behavior of a random matrix with independent rows, each distributed according to the same probability measure on \({\mathbb R}^{n}\) or on ℓ2. We investigate the spectrum of such a matrix and the way the ellipsoid generated by it approximates the covariance structure of the underlying measure. As an application, we provide estimates on the deviation of the spectrum of Gram matrices from the spectrum of the integral operator.
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Mendelson, S., Pajor, A. (2005). Ellipsoid Approximation Using Random Vectors. In: Auer, P., Meir, R. (eds) Learning Theory. COLT 2005. Lecture Notes in Computer Science(), vol 3559. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11503415_29
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DOI: https://doi.org/10.1007/11503415_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26556-6
Online ISBN: 978-3-540-31892-7
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