Author

Huy Nguyen

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Preprint Oct 2026

Joint Estimation and Feature Selection in Overspecified Finite Mixture of Regressions

We investigate joint estimation and feature selection in sparse finite mixtures of regressions with an overspecified number of mixture components or mixture order. More specifically, given a conservative fixed upper bound on the unknown mixture order, we deliberately overspecify the order and propose a double-penalized...

Abbas Khalili, Peng Liu, Huy Nguyen et al. · 0 citations

#machine learning Preprint Oct 2026

Sparsity Saves Compute, Not Samples: Oracle Inequalities for Dense and Sparse Mixture of Experts

Mixture-of-Experts (MoE) models combine specialized experts through an input-dependent routing mechanism, and their sparse variants underpin many modern large-scale systems. Yet the statistical cost of adaptive routing remains only partially understood. We study the estimation error of least-squares MoE estimators when...

Sagar Ghosh, Huy Nguyen, Alessandro Rinaldo · 0 citations