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• W2953344420 abstract "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." @default.
• W2953344420 created "2019-06-27" @default.
• W2953344420 creator A5029135933 @default.
• W2953344420 creator A5052481553 @default.
• W2953344420 date "2008-07-14" @default.
• W2953344420 modified "2023-09-27" @default.
• W2953344420 title "Two Dimensional Density Estimation using Smooth Invertible Transformations" @default.
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• W2953344420 hasPublicationYear "2008" @default.
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