Relative Wasserstein Spatial Depth for Cluster Number Selection in Distributional Data

arXiv:2610.09153 · stat.ME, stat.ML · Submitted 2026-10-06 · Read on arXiv

stat.ME, stat.ML

Submitted: 2026-10-06

Updated: 2026-10-06

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

Terminology

• Clustering — 56× in this paper · explained in 2 episodes
• Relative Wasserstein Spatial Depth — 41× in this paper
• Consistency — 26× in this paper · explained in 3 episodes
• Wasserstein Distance — 15× in this paper · explained in 4 episodes
• Optimal Transport — 13× in this paper · explained in 5 episodes
• Robustness — 8× in this paper · explained in 5 episodes
• Core — 6× in this paper · explained in 2 episodes
• Acute Myeloid Leukemia — 2× in this paper
• Regularization — 2× in this paper · explained in 3 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Spectral clustering — 2× in this paper · explained in 2 episodes
• 2-Wasserstein Distance — 1× in this paper · explained in 1 episode
• Accuracy — 1× in this paper · explained in 1 episode
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Alternating Minimization — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Optimal Transport (OT) — 1× in this paper · explained in 4 episodes
• Partitioning Around Medoids — 1× in this paper
• Quantization — 1× in this paper · explained in 12 episodes

Sources

• Wasserstein Spatial Depth
• Spectral Clustering for Discrete Distributions

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