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math.ST2020★ 1 cited
Robust Density Estimation under Besov IPM Losses
Ananya Uppal, Shashank Singh, Barnabas Poczos
We study minimax convergence rates of nonparametric density estimation in the Huber contamination model, in which a proportion of the data comes from an unknown outlier distributio…
math.ST2019★ 2 cited
Nonparametric Density Estimation & Convergence Rates for GANs under Besov IPM Losses
Ananya Uppal, Shashank Singh, Barnabás Póczos
We study the problem of estimating a nonparametric probability density under a large family of losses called Besov IPMs, which include, for example, distances, tota…
math.ST2018★ 31 cited
Nonparametric Density Estimation under Adversarial Losses
Shashank Singh, Ananya Uppal, Boyue Li +3
We study minimax convergence rates of nonparametric density estimation under a large class of loss functions called "adversarial losses", which, besides classical l…