Manifold-Stable Flow Matching

arXiv:2609.35454 · cs.LG, cs.RO, cs.SY, eess.SY · Submitted 2026-09-28 · Read on arXiv

cs.LG, cs.RO, cs.SY, eess.SY

Submitted: 2026-09-28

Updated: 2026-09-28

Code: https://github.com/huggingface/gym-pusht

Project page: https://fbullo.github.io/ctds

Terminology

• Flow Matching — 42× in this paper · explained in 8 episodes
• Generative Modeling — 6× in this paper · explained in 3 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Adam — 3× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Computer Vision and Pattern Recognition — 2× in this paper
• Generative AI — 2× in this paper · explained in 2 episodes
• Closed-Loop Control — 1× in this paper · explained in 3 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Modularity — 1× in this paper · explained in 9 episodes
• Nadia — 1× in this paper · explained in 2 episodes
• Point Clouds — 1× in this paper · explained in 2 episodes
• Principal Component Analysis (PCA) — 1× in this paper · explained in 4 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes

Sources

• Flow Matching is Adaptive to Manifold Structures
• Bridging the Gap between Reactivity, Contraction, and Finite-Time Lyapunov Exponents
• robosuite: A Modular Simulation Framework and Benchmark for Robot Learning

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