665 citations · 942 across the 38 of their papers we have counts for
16 papers · 1 filter
Minimum -distance estimators for finite mixing measures
Yun Wei, Sayan Mukherjee, XuanLong Nguyen
Finite mixture models have long been used across a variety of fields in engineering and sciences. Recently there has been a great deal of interest in quantifying the convergence be…
Strong identifiability and parameter learning in regression with heterogeneous response
Dat Do, Linh Do, XuanLong Nguyen
Mixtures of regression are a powerful class of models for regression learning with respect to a highly uncertain and heterogeneous response variable of interest. In addition to bei…
Convergence of de Finetti's mixing measure in latent structure models for observed exchangeable sequences
Yun Wei, XuanLong Nguyen
Mixtures of product distributions are a powerful device for learning about heterogeneity within data populations. In this class of latent structure models, de Finetti's mixing meas…
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…
Local inversion-free estimation of spatial Gaussian processes
Hossein Keshavarz, XuanLong Nguyen, Clayton Scott
Maximizing the likelihood has been widely used for estimating the unknown covariance parameters of spatial Gaussian processes. However, evaluating and optimizing the likelihood fun…
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…
Singularity structures and impacts on parameter estimation in finite mixtures of distributions
Nhat Ho, XuanLong Nguyen
Singularities of a statistical model are the elements of the model's parameter space which make the corresponding Fisher information matrix degenerate. These are the points for whi…
On the consistency of inversion-free parameter estimation for Gaussian random fields
Hossein Keshavarz, Clayton Scott, XuanLong Nguyen
Gaussian random fields are a powerful tool for modeling environmental processes. For high dimensional samples, classical approaches for estimating the covariance parameters require…
Optimal change point detection in Gaussian processes
Hossein Keshavarz, Clayton Scott, XuanLong Nguyen
We study the problem of detecting a change in the mean of one-dimensional Gaussian process data. This problem is investigated in the setting of increasing domain (customarily emplo…
Identifiability and optimal rates of convergence for parameters of multiple types in finite mixtures
Nhat Ho, XuanLong Nguyen
This paper studies identifiability and convergence behaviors for parameters of multiple types in finite mixtures, and the effects of model fitting with extra mixing components. Fir…
Borrowing strengh in hierarchical Bayes: Posterior concentration of the Dirichlet base measure
XuanLong Nguyen
This paper studies posterior concentration behavior of the base probability measure of a Dirichlet measure, given observations associated with the sampled Dirichlet processes, as t…
Sequential detection of multiple change points in networks: a graphical model approach
Arash Ali Amini, XuanLong Nguyen
We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certai…
Posterior contraction of the population polytope in finite admixture models
XuanLong Nguyen
We study the posterior contraction behavior of the latent population structure that arises in admixture models as the amount of data increases. We adopt the geometric view of admix…
Convergence of latent mixing measures in finite and infinite mixture models
XuanLong Nguyen
This paper studies convergence behavior of latent mixing measures that arise in finite and infinite mixture models, using transportation distances (i.e., Wasserstein metrics). The…
Estimating divergence functionals and the likelihood ratio by convex risk minimization
XuanLong Nguyen, Martin J. Wainwright, Michael I. Jordan
We develop and analyze -estimation methods for divergence functionals and the likelihood ratios of two probability distributions. Our method is based on a non-asymptotic variati…
On optimal quantization rules for some problems in sequential decentralized detection
XuanLong Nguyen, Martin J. Wainwright, Michael I. Jordan
We consider the design of systems for sequential decentralized detection, a problem that entails several interdependent choices: the choice of a stopping rule (specifying the sampl…