Fr'echet regression of multivariate distributions with nonparanormal transport

arXiv:2603.07014 · stat.ME, math.ST, stat.ML, stat.TH · Submitted 2026-08-21 · Read on arXiv

Junyoung Park, Irina Gaynanova

stat.ME, math.ST, stat.ML, stat.TH

Submitted: 2026-08-21

Updated: 2026-08-24

Comments: 59 pages, 4 figures

Code: https://github.com/pjywang/NPTFrechet

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

Terminology

Wasserstein Distance — 53× in this paper · explained in 4 episodes
Objective Function — 20× in this paper · explained in 2 episodes
Optimal Transport — 20× in this paper · explained in 5 episodes
Curse of Dimensionality — 9× in this paper · explained in 6 episodes
Copula — 8× in this paper · explained in 2 episodes
Hilbert Space — 6× in this paper · explained in 2 episodes
Interpretability — 6× in this paper · explained in 15 episodes
Consistency — 5× in this paper · explained in 3 episodes
Verification — 5× in this paper · explained in 2 episodes
Decoupling — 4× in this paper · explained in 2 episodes
Convergence Guarantees — 2× in this paper · explained in 3 episodes
Generalization — 2× in this paper · explained in 13 episodes
Higher-order derivatives — 2× in this paper · explained in 2 episodes
Theoretical Guarantees — 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
Alternating Minimization — 1× in this paper · explained in 1 episode
Clustering — 1× in this paper · explained in 2 episodes
Embeddings — 1× in this paper · explained in 2 episodes
Generative Model — 1× in this paper · explained in 2 episodes
Generative Models — 1× in this paper · explained in 2 episodes
Sample Complexity — 1× in this paper · explained in 15 episodes

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