5d9e4a04afb9f3608ccc76c1ffa7573e-Supplemental.pdf

Sets and scalars are represented by calligraphic and standard fonts,6 respectively. Intuitively, if Φ (w0) is a (µΦ,νΦ)-near-isometry, then one would expect Φ to remain near-10 isometry forallnearby points. We start with the basic definition of Hermite polynomial and its properties. A bound on (2kvk + kδvk) is obtained in (A.41). Let z Rd denote a Gaussian random vector.