Sliced-Regularized Optimal Transport

arXiv:2604.23944 · stat.ML, cs.LG · Submitted 2026-04-27 · Read on arXiv

stat.ML, cs.LG

Submitted: 2026-04-27

Updated: 2026-09-26

Comments: 22 pages, 8 figures, 1 table

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

Terminology

• Optimal Transport — 39× in this paper · explained in 5 episodes
• Regularization — 17× in this paper · explained in 3 episodes
• Wasserstein Distance — 15× in this paper · explained in 4 episodes
• Gradient Flow — 10× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Adaptation — 3× in this paper · explained in 1 episode
• Optimal Transport (OT) — 3× in this paper · explained in 4 episodes
• Sample Complexity — 3× in this paper · explained in 15 episodes
• Sparsity — 3× in this paper · explained in 4 episodes
• ACM Transactions on Graphics — 2× in this paper
• Ablation Studies — 2× in this paper · explained in 1 episode
• Ablation study — 2× in this paper · explained in 1 episode
• Alignment — 2× in this paper · explained in 1 episode
• Domain Adaptation — 2× in this paper · explained in 5 episodes
• Flow Matching — 2× in this paper · explained in 7 episodes
• Generative Model — 2× in this paper · explained in 2 episodes
• Generative Models — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• KL Regularization — 1× in this paper · explained in 2 episodes
• Point Clouds — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean space
• Sinkhorn-Drifting Generative Models
• Vertical Consensus Inference for High-Dimensional Random Partition
• Sliced Transport Plans
• Amortized Optimal Transport from Sliced Potentials

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