A Multivariate Unimodality Test Harnessing the Dip Statistic of Mahalanobis Distances Over Random Projections

arXiv:2311.16614 · stat.ME, cs.LG · Submitted 2023-11-28 · Read on arXiv

stat.ME, cs.LG

Submitted: 2023-11-28

Updated: 2024-07-04

Comments: 13 pages, 1 figure

Journal ref: Proceedings of the Forty-first Conference on Uncertainty in Artificial Intelligence (UAI 2025), Proceedings of Machine Learning Research 286:2255-2268, 2025

Code: https://github.com/prokolyvakis/mudpod

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

Terminology

• Clustering — 24× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Ablation study — 4× in this paper · explained in 1 episode
• Generalization — 4× in this paper · explained in 13 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Human Activity Recognition — 2× in this paper
• Randomisation Hypothesis — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• Adaptability — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Covariate Shift — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Multimodal Dataset — 1× in this paper · explained in 2 episodes
• Normalized Mutual Information — 1× in this paper
• Regularization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• Universal Inference Meets Random Projections: A Scalable Test for Log-concavity

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