3 citations · 5 across the 3 of their papers we have counts for
9 papers
Minimax bounds for estimating multivariate Gaussian location mixtures
Arlene K. H. Kim, Adityanand Guntuboyina
We prove minimax bounds for estimating Gaussian location mixtures on under the squared and the squared Hellinger loss functions. Under the squared loss,…
Adaptation in multivariate log-concave density estimation
Oliver Y. Feng, Adityanand Guntuboyina, Arlene K. H. Kim +1
We study the adaptation properties of the multivariate log-concave maximum likelihood estimator over three subclasses of log-concave densities. The first consists of densities with…
The cumulative Kolmogorov filter for model-free screening in ultrahigh dimensional data
Arlene K. H. Kim, Seung Jun Shin
We propose a cumulative Kolmogorov filter to improve the fused Kolmogorov filter proposed by Zou (2015) via cumulative slicing. We establish an improved asymptotic result under rel…
Adaptation in log-concave density estimation
Arlene K. H. Kim, Adityanand Guntuboyina, Richard J. Samworth
The log-concave maximum likelihood estimator of a density on the real line based on a sample of size is known to attain the minimax optimal rate of convergence of …
An iterative hard thresholding estimator for low rank matrix recovery with explicit limiting distribution
Alexandra Carpentier, Arlene K. H. Kim
We consider the problem of low rank matrix recovery in a stochastically noisy high dimensional setting. We propose a new estimator for the low rank matrix, based on the iterative h…
Global rates of convergence in log-concave density estimation
Arlene K. H. Kim, Richard J. Samworth
The estimation of a log-concave density on represents a central problem in the area of nonparametric inference under shape constraints. In this paper, we study the p…