Sinkhorn-Drifting Generative Models
We establish a theoretical link between the recently proposed "drifting" generative dynamics and gradient flows induced by the Sinkhorn divergence. In a particle discretization, the drift field admits a cross-minus-self decomposition: an attractive term toward the target distribution and a repulsive/self-correction term toward the current model, both expressed via one-sided normalized Gibbs kernels. We show that Sinkhorn divergence yields an analogous cross-minus-self structure, but with each term defined by entropic optimal-transport couplings obtained through two-sided Sinkhorn scaling (i.e., enforcing both marginals). This provides a precise sense in which drifting acts as a surrogate ...
| Authors | Ping He, Om Khangaonkar, Hamed Pirsiavash et al. |
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| Primary category | cs.LG |
| Published | 12 March 2026 |
| Last updated at source | 26 March 2026 |
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