42 citations · 71 across the 19 of their papers we have counts for
5 papers · 1 filter
Multivariate Smoothing via the Fourier Integral Theorem and Fourier Kernel
Nhat Ho, Stephen G. Walker
Starting with the Fourier integral theorem, we present natural Monte Carlo estimators of multivariate functions including densities, mixing densities, transition densities, regress…
Uniform Convergence Rates for Maximum Likelihood Estimation under Two-Component Gaussian Mixture Models
Tudor Manole, Nhat Ho
We derive uniform convergence rates for the maximum likelihood estimator and minimax lower bounds for parameter estimation in two-component location-scale Gaussian mixture models w…
On posterior contraction of parameters and interpretability in Bayesian mixture modeling
Aritra Guha, Nhat Ho, XuanLong Nguyen
We study posterior contraction behaviors for parameters of interest in the context of Bayesian mixture modeling, where the number of mixing components is unknown while the model it…
Singularity, Misspecification, and the Convergence Rate of EM
Raaz Dwivedi, Nhat Ho, Koulik Khamaru +3
A line of recent work has analyzed the behavior of the Expectation-Maximization (EM) algorithm in the well-specified setting, in which the population likelihood is locally strongly…
Robust estimation of mixing measures in finite mixture models
Nhat Ho, XuanLong Nguyen, Ya'acov Ritov
In finite mixture models, apart from underlying mixing measure, true kernel density function of each subpopulation in the data is, in many scenarios, unknown. Perhaps the most popu…