Two Dimensional Density Estimation using Smooth Invertible Transformations
| dc.creator | Anderes, Ethan | |
| dc.creator | Coram, Marc | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:50:24Z | |
| dc.date.available | 2026-07-07T09:50:24Z | |
| dc.description | We investigate the problem of estimating a smooth invertible transformation f when observing independent samples X_1, ..., X_n ~ P \circ f, where P is a known measure. We focus on the two dimensional case where P and f are defined on R^2. We present a flexible class of smooth invertible transformations in two dimensions with variational equations for optimizing over the classes, then study the problem of estimating the transformation f by penalized maximum likelihood estimation. We apply our methodology to the case when P \circ f has a density with respect to Lebesgue measure on R^2 and demonstrate improvements over kernel density estimation on three examples. | |
| dc.identifier | https://arxiv.org/abs/0807.2275 | |
| dc.identifier | http://arxiv.org/abs/0807.2275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164931 | |
| dc.subject | Methodology | |
| dc.title | Two Dimensional Density Estimation using Smooth Invertible Transformations | |
| dc.type | text |