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math.ST2018
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…
math.ST2018
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…
math.ST2018
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…