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20132026
most citedApproximation by finite mixtures of continuous density functions that vanish at infinity

71 citations · 110 across the 48 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

stat.ML2019

Regularized Estimation and Feature Selection in Mixtures of Gaussian-Gated Experts Models

Faïcel Chamroukhi, Florian Lecocq, Hien D. Nguyen

Mixtures-of-Experts models and their maximum likelihood estimation (MLE) via the EM algorithm have been thoroughly studied in the statistics and machine learning literature. They a…

stat.ME2019

Approximate Bayesian computation via the energy statistic

Hien D. Nguyen, Julyan Arbel, Hongliang Lü +1

Approximate Bayesian computation (ABC) has become an essential part of the Bayesian toolbox for addressing problems in which the likelihood is prohibitively expensive or entirely u…

math.ST2019

Concentration-based confidence intervals for U-statistics

Hien D. Nguyen

Concentration inequalities have become increasingly popular in machine learning, probability, and statistical research. Using concentration inequalities, one can construct confiden…

math.ST2019★ 71 cited

Approximation by finite mixtures of continuous density functions that vanish at infinity

T Tin Nguyen, Hien D Nguyen, Faicel Chamroukhi +1

Given sufficiently many components, it is often cited that finite mixture models can approximate any other probability density function (pdf) to an arbitrary degree of accuracy. Un…

math.ST2019

Asymptotic normality of the time-domain generalized least squares estimator for linear regression models

Hien D Nguyen

In linear models, the generalized least squares (GLS) estimator is applicable when the structure of the error dependence is known. When it is unknown, such structure must be approx…

stat.CO2019

Mini-batch learning of exponential family finite mixture models

H D Nguyen, F Forbes, G J McLachlan

Mini-batch algorithms have become increasingly popular due to the requirement for solving optimization problems, based on large-scale data sets. Using an existing online expectatio…

stat.AP2019

The fully-visible Boltzmann machine and the Senate of the 45th Australian Parliament in 2016

Jessica J. Bagnall, Andrew T. Jones, Natalie Karavarsamis +1

After the 2016 double dissolution election, the 45th Australian Parliament was formed. At the time of its swearing in, the Senate of the 45th Australian Parliament consisted of nin…