Interpolation of Random Hyperplanes
| dc.creator | Arias-Castro, Ery | |
| dc.date | 2006-09-12 | |
| dc.date.accessioned | 2026-07-07T08:08:11Z | |
| dc.date.available | 2026-07-07T08:08:11Z | |
| dc.description | Let {(Z_i,W_i):i=1,...,n} be uniformly distributed in [0,1]^d * G(k,d), where G(k,d) denotes the space of k-dimensional linear subspaces of R^d. For a differentiable function f from [0,1]^k to [0,1]^d we say that f interpolates (z,w) in [0,1]^d * G(k,d) if there exists x in [0,1]^k such that f(x) = z and vec{f}(x) = w, where vec{f}(x) denotes the tangent space at x defined by f. For a smoothness class F of Hölder type, we obtain probability bounds on the maximum number of points a function f in F interpolates. | |
| dc.identifier | https://arxiv.org/abs/math/0609340 | |
| dc.identifier | http://arxiv.org/abs/math/0609340 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131179 | |
| dc.subject | Probability | |
| dc.subject | Statistics Theory | |
| dc.subject | 60D05; 62G10 | |
| dc.title | Interpolation of Random Hyperplanes | |
| dc.type | text |