On the Geometry of Separation in Finite Gaussian Mixtures

arXiv:2606.16179 · math.ST, stat.ML · Submitted 2026-06-15 · Read on arXiv

Huy Nguyen, Dung Le, Alessandro Rinaldo, Nhat Ho

math.ST, stat.ML

Submitted: 2026-06-15

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

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

Terminology

• Wasserstein Distance — 30× in this paper · explained in 4 episodes
• Clustering — 5× in this paper · explained in 2 episodes
• Core — 5× in this paper · explained in 2 episodes
• Sample Complexity — 4× in this paper · explained in 15 episodes
• 2-Wasserstein Distance — 2× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Optimal Transport — 2× in this paper · explained in 5 episodes
• Structural Constraints — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Chebyshev Polynomials — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Latent Representation — 1× in this paper · explained in 2 episodes
• Minimax optimality — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

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