71 citations · 110 across the 48 of their papers we have counts for
9 papers · 1 filter
A Novel Algorithm for Clustering of Data on the Unit Sphere via Mixture Models
Hien D. Nguyen
A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive low…
An Introduction to the Practical and Theoretical Aspects of Mixture-of-Experts Modeling
Hien D. Nguyen, Faicel Chamroukhi
Mixture-of-experts (MoE) models are a powerful paradigm for modeling of data arising from complex data generating processes (DGPs). In this article, we demonstrate how different Mo…
Iteratively-Reweighted Least-Squares Fitting of Support Vector Machines: A Majorization--Minimization Algorithm Approach
Hien D. Nguyen, Geoffrey J. McLachlan
Support vector machines (SVMs) are an important tool in modern data analysis. Traditionally, support vector machines have been fitted via quadratic programming, either using purpos…
A Stream-Suitable Kolmogorov-Smirnov-Type Test for Big Data Analysis
Hien Duy Nguyen
Big Data has become an ever more commonplace setting that is encountered by data analysts. In the Big Data setting, analysts are faced with very large numbers of observations as we…
Approximation results regarding the multiple-output mixture of linear experts model
Hien D. Nguyen, Faicel Chamroukhi, Florence Forbes
Mixture of experts (MoE) models are a class of artificial neural networks that can be used for functional approximation and probabilistic modeling. An important class of MoE models…
A Simple Online Parameter Estimation Technique with Asymptotic Guarantees
Hien D Nguyen
In many modern settings, data are acquired iteratively over time, rather than all at once. Such settings are known as online, as opposed to offline or batch. We introduce a simple…
A Note on the Convergence of the Gaussian Mean Shift Algorithm
Hien D Nguyen
Mean shift (MS) algorithms are popular methods for mode finding in pattern analysis. Each MS algorithm can be phrased as a fixed-point iteration scheme, which operates on a kernel…
Some Theoretical Results Regarding the Polygonal Distribution
Hien D Nguyen, Geoffrey J McLachlan
The polygonal distributions are a class of distributions that can be defined via the mixture of triangular distributions over the unit interval. The class includes the uniform and…
Near Universal Consistency of the Maximum Pseudolikelihood Estimator for Discrete Models
Hien D. Nguyen
Maximum pseudolikelihood (MPL) estimators are useful alternatives to maximum likelihood (ML) estimators when likelihood functions are more difficult to manipulate than their margin…