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math.PR2020★ 7 cited
Geometric sharp large deviations for random projections of spheres and balls
Yin-Ting Liao, Kavita Ramanan
Accurate estimation of tail probabilities of projections of high-dimensional probability measures is of relevance in high-dimensional statistics and asymptotic geometric analysis.…
math.PR2019
An asymptotic thin shell condition and large deviations for random multidimensional projections
Steven Soojin Kim, Yin-Ting Liao, Kavita Ramanan
Consider the projection of an -dimensional random vector onto a random -dimensional basis, , drawn uniformly from the Haar measure on the Stiefel manifold of or…