3 papers
math.ST2023
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…
stat.ML2023
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…
math.ST2023
Minimax optimal testing by classification
Patrik Róbert Gerber, Yanjun Han, Yury Polyanskiy
This paper considers an ML inspired approach to hypothesis testing known as classifier/classification-accuracy testing (). In , one first trains a class…