Alignment Matters Inside and Out in Equivariant Graph Flow Matching

arXiv:2608.26961 · cs.LG, math.OC, stat.ML · Submitted 2026-08-27 · Read on arXiv

cs.LG, math.OC, stat.ML

Submitted: 2026-08-27

Updated: 2026-09-29

Terminology

• Alignment — 39× in this paper · explained in 1 episode
• Flow Matching — 31× in this paper · explained in 8 episodes
• Wasserstein Distance — 13× in this paper · explained in 4 episodes
• Optimal Transport — 10× in this paper · explained in 5 episodes
• Clustering — 6× in this paper · explained in 2 episodes
• Generative Model — 6× in this paper · explained in 2 episodes
• Generative Models — 6× in this paper · explained in 2 episodes
• Transformer — 6× in this paper · explained in 2 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Accuracy — 3× in this paper · explained in 1 episode
• Generative Modeling — 3× in this paper · explained in 3 episodes
• AdamW Optimizer — 2× in this paper · explained in 1 episode
• Decode — 2× in this paper · explained in 2 episodes
• Fine-Tuning — 2× in this paper · explained in 5 episodes
• Normalizing Flow — 2× in this paper · explained in 3 episodes
• Normalizing Flows — 2× in this paper · explained in 4 episodes
• 2-Wasserstein Distance — 1× in this paper · explained in 1 episode
• Alignment Problem — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Diffusion Models — 1× in this paper · explained in 6 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Point Clouds — 1× in this paper · explained in 2 episodes
• Rectified Flow — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Spherical Flows for Sampling Categorical Data
• AlignFlow: Improving Flow-based Generative Models with Semi-Discrete Optimal Transport
• Flow Matching with Semidiscrete Couplings
• A Novel Sliced Fused Gromov-Wasserstein Distance
• Generalized Wasserstein Flow Matching: Transport Plans, Everywhere, All at Once
• Flowette: Flow Matching with Graphette Priors for Graph Generation

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