Same Flow, Different Paths: Variance Reduction in Flow Matching

arXiv:2609.17287 · cs.LG, math.OC · Submitted 2026-09-15 · Read on arXiv

cs.LG, math.OC

Submitted: 2026-09-15

Updated: 2026-09-15

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

Terminology

• Flow Matching — 16× in this paper · explained in 7 episodes
• Adam — 10× in this paper · explained in 2 episodes
• Accuracy — 7× in this paper · explained in 1 episode
• Verification — 4× in this paper · explained in 2 episodes
• Diffusion Model — 3× in this paper · explained in 8 episodes
• Wasserstein Distance — 3× in this paper · explained in 4 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Diffusion Models — 2× in this paper · explained in 6 episodes
• Generative Model — 2× in this paper · explained in 2 episodes
• Generative Modeling — 2× in this paper · explained in 3 episodes
• Generative Models — 2× in this paper · explained in 2 episodes
• Causal Inference — 1× in this paper · explained in 4 episodes
• Data Augmentation — 1× in this paper · explained in 7 episodes
• Exponential Moving Average (EMA) — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• K Extension to Gaussian Mixture Models — 1× in this paper
• Latent Diffusion Model — 1× in this paper · explained in 2 episodes
• Latent Diffusion Models — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Rectified Flow — 1× in this paper · explained in 3 episodes
• Transformer — 1× in this paper · explained in 2 episodes

Sources

• Preconditioned Flow Matching
• Adam: A Method for Stochastic Optimization
• The Principles of Diffusion Models
• Flow Matching for Generative Modeling
• Temporal Pair Consistency for Variance-Reduced Flow Matching
• Multisample Flow Matching: Straightening Flows with Minibatch Couplings
• Improving and generalizing flow-based generative models with minibatch optimal transport
• Wan: Open and Advanced Large-Scale Video Generative Models
• Qwen-Image Technical Report
• Stable Velocity: A Variance Perspective on Flow Matching

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