Adjusted Wasserstein distances for bridging empirical and true distributions with applications to MDS

arXiv:2606.29665 · stat.ML, cs.LG · Submitted 2026-06-29 · Read on arXiv

Flor Martinez-Sermeno, Arturo Jaramillo, Johan Van Horebeek

stat.ML, cs.LG

Submitted: 2026-06-29

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

Terminology

• Wasserstein Distance — 85× in this paper · explained in 6 episodes
• Sample Complexity — 13× in this paper · explained in 20 episodes
• Heavy-Tailed Distributions — 4× in this paper · explained in 2 episodes
• Optimal Transport — 3× in this paper · explained in 5 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Dimensionality Reduction — 2× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Clarity — 1× in this paper · explained in 3 episodes
• Curse of Dimensionality — 1× in this paper · explained in 6 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Normalizing Flow — 1× in this paper · explained in 4 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes
• Orthogonal Projection — 1× in this paper · explained in 2 episodes
• Riemannian Optimization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 6 episodes

Sources

• Hierarchical Sliced Wasserstein Distance

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