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05/11/2023
Minimax optimal density estimation using a shallow generative model with a one-dimensional latent variable
The deep generative model yields an implicit estimator for the unknown d...
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02/07/2022
Rates of convergence for nonparametric estimation of singular distributions using generative adversarial networks
We consider generative adversarial networks (GAN) for estimating paramet...
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05/09/2021
A likelihood approach to nonparametric estimation of a singular distribution using deep generative models
We investigate statistical properties of a likelihood approach to nonpar...
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08/30/2020
Bayesian High-dimensional Semi-parametric Inference beyond sub-Gaussian Errors
We consider a sparse linear regression model with unknown symmetric erro...
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03/12/2020
Posterior asymptotics in Wasserstein metrics on the real line
In this paper, we use the class of Wasserstein metrics to study asymptot...
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12/11/2017
Fast nonparametric near-maximum likelihood estimation of a mixing density
Mixture models are regularly used in density estimation applications, bu...
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09/08/2017