Characterizing Heterogeneous Rates in Finite Mixture Estimation via Partial Optimal Transport

arXiv:2609.16622 · math.ST, stat.ML, stat.TH · Submitted 2026-09-15 · Read on arXiv

math.ST, stat.ML, stat.TH

Submitted: 2026-09-15

Updated: 2026-09-15

Comments: Dung Le and Huy Nguyen contributed equally to this work

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Optimal Transport — 21× in this paper · explained in 5 episodes
• Wasserstein Distance — 17× in this paper · explained in 4 episodes
• Clustering — 11× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Convergence Guarantees — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Continual Learning — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Minimax optimality — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Variational Deep Embedding: An Unsupervised and Generative Approach to Clustering
• On the Geometry of Separation in Finite Gaussian Mixtures
• Minimum $\Phi$-distance estimators for finite mixing measures

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