8 citations · 9 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
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…
Minimax Estimation of Quadratic Fourier Functionals
Shashank Singh, Bharath K. Sriperumbudur, Barnabás Póczos
We study estimation of (semi-)inner products between two nonparametric probability distributions, given IID samples from each distribution. These products include relatively well-s…
Minimax Distribution Estimation in Wasserstein Distance
Shashank Singh, Barnabás Póczos
The Wasserstein metric is an important measure of distance between probability distributions, with applications in machine learning, statistics, probability theory, and data analys…
Nonparanormal Information Estimation
Shashank Singh, Barnabás Pøczos
We study the problem of using i.i.d. samples from an unknown multivariate probability distribution to estimate the mutual information of . This problem has recently received…
Exponential Concentration of a Density Functional Estimator
Shashank Singh, Barnabás P óczos
We analyze a plug-in estimator for a large class of integral functionals of one or more continuous probability densities. This class includes important families of entropy, diverge…