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Journal Articles Journal of Approximation Theory Year : 2007

Gaussian averages of interpolated bodies and applications to approximate reconstruction

Abstract

We prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of B-p(n) with rho B-q(n) for 1 <= p, q <= infinity and rho > 0, and by the intersection of B-p infinity(n) with rho B-2(n) for 0 < p <= 1 and rho > 0. We present an application of this result to a statistical problem known as the approximate reconstruction problem. (c) 2007 Elsevier Inc. All rights reserved.

Dates and versions

hal-00693601 , version 1 (02-05-2012)

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Y. Gordon, A. E. Litvak, S. Mendelson, Alain Pajor. Gaussian averages of interpolated bodies and applications to approximate reconstruction. Journal of Approximation Theory, 2007, 149 (1), pp.59--73. ⟨10.1016/j.jat.2007.04.007⟩. ⟨hal-00693601⟩
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