Gaussian averages of interpolated bodies and applications to approximate reconstruction

• Autores: Y. Gordon, Alexander E. Litvak, S. Mendelson, Alain Pajor
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 149, Nº 1, 2007, págs. 59-73
• Idioma: inglés
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• Resumen

  • We prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of with for 1p,q8 and ?>0, and by the intersection of with for 00. We present an application of this result to a statistical problem known as the approximate reconstruction problem.