Distributional Determinantal Point Process for Repulsive Clustering of Distributions

arXiv:2607.21847 · stat.ME, cs.LG, stat.AP, stat.CO, stat.ML · Submitted 2026-08-20 · Read on arXiv

Khai Nguyen, Yang Ni, Elizabeth Juarez-Colunga, Peter Mueller

stat.ME, cs.LG, stat.AP, stat.CO, stat.ML

Submitted: 2026-08-20

Updated: 2026-08-21

Comments: 60 pages, 15 figures

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

Terminology

• Clustering — 19× in this paper · explained in 2 episodes
• Wasserstein Distance — 13× in this paper · explained in 6 episodes
• Optimal Transport — 11× in this paper · explained in 5 episodes
• Trace — 9× in this paper · explained in 2 episodes
• Consistency — 7× in this paper · explained in 3 episodes
• Human Epilepsy Project — 6× in this paper
• Augmentation — 1× in this paper · explained in 2 episodes
• Bayesian Inference — 1× in this paper · explained in 6 episodes
• Distribution-Valued Determinantal Point Processes — 1× in this paper
• Exchangeability — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 14 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Hierarchical Structure — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• Latent Variables — 1× in this paper · explained in 2 episodes
• Papers — 1× in this paper · explained in 3 episodes
• Principal Component Analysis (PCA) — 1× in this paper · explained in 8 episodes
• Unified Framework — 1× in this paper · explained in 6 episodes

Sources

• When Is Generalized Bayes Bayesian? A Decision-Theoretic Characterization of Loss-Based Updating
• Bayesian repulsive mixture model for multivariate functional data
• Repulsive Mixture Model with Projection Determinantal Point Process

Related papers

• Doubly robust inference via calibration
• Bayesian Empirical Bayes: Simultaneous Inference from Probabilistic Symmetries
• Weak-Form Recovery of Stochastic Generators
• Optimal Watermark Localization in Mixed-Source Large Language Model Texts
• Optimized Conformal Selection: Powerful Selective Inference After Data-Dependent Score Construction
• Small area learning