222 citations · 591 across the 74 of their papers we have counts for
15 papers · 1 filter
Density estimation using the perceptron
Patrik Róbert Gerber, Tianze Jiang, Yury Polyanskiy +1
We propose a new density estimation algorithm. Given i.i.d. observations from a distribution belonging to a class of densities on , our estimator outputs any dens…
Kernel-Based Tests for Likelihood-Free Hypothesis Testing
Patrik Róbert Gerber, Tianze Jiang, Yury Polyanskiy +1
Given observations from two balanced classes, consider the task of labeling an additional inputs that are known to all belong to \emph{one} of the two classes. Special case…
Empirical Bayes via ERM and Rademacher complexities: the Poisson model
Soham Jana, Yury Polyanskiy, Anzo Teh +1
We consider the problem of empirical Bayes estimation for (multivariate) Poisson means. Existing solutions that have been shown theoretically optimal for minimizing the regret (exc…
Coded Orthogonal Modulation for the Multi-Antenna Multiple-Access Channel
Alexander Fengler, Alejandro Lancho, Yury Polyanskiy
This study focuses on (traditional and unsourced) multiple-access communication over a single transmit and multiple () receive antennas. We assume full or partial channel state…
Comparing Poisson and Gaussian channels (extended)
Anzo Teh, Yury Polyanskiy
Consider a pair of input distributions which after passing through a Poisson channel become -close in total variation. We show that they must necessarily then be -…
Entropic characterization of optimal rates for learning Gaussian mixtures
Zeyu Jia, Yury Polyanskiy, Yihong Wu
We consider the question of estimating multi-dimensional Gaussian mixtures (GM) with compactly supported or subgaussian mixing distributions. Minimax estimation rate for this class…