Some remarks on the connection between generative diffusion and optimal transport
stat.ML, cond-mat.dis-nn, cs.LG
Submitted: 2026-10-09
Updated: 2026-10-09
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Score-Based Generative Modeling through Stochastic Differential Equations
- Computational Optimal Transport
- A survey of the Schr\"odinger problem and some of its connections with optimal transport
- Understanding DDPM Latent Codes Through Optimal Transport
- Dynamical Regimes of Diffusion Models
- Spontaneous Symmetry Breaking in Generative Diffusion Models
- Optimizing Noise Schedules of Generative Models in High Dimensionss
- Critical windows: non-asymptotic theory for feature emergence in diffusion models
- A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data
- Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances
- Generative diffusion in very large dimensions
- Blink of an eye: a simple theory for feature localization in generative models
- Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow
- Improving and generalizing flow-based generative models with minibatch optimal transport
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