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Gradient flow drifting: Generative modeling via wasserstein gradient flows of kde-approximated divergences.arXiv preprint arXiv:2603.10592

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2026 5

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One-Step Generative Modeling via Wasserstein Gradient Flows

cs.LG · 2026-05-12 · conditional · novelty 7.0

W-Flow achieves state-of-the-art one-step ImageNet 256x256 generation at 1.29 FID by training a static neural network to follow a Wasserstein gradient flow that minimizes Sinkhorn divergence, delivering roughly 100x faster sampling than comparable multi-step models.

Energy Generative Modeling: A Lyapunov-based Energy Matching Perspective

cs.LG · 2026-05-07 · unverdicted · novelty 6.0

Training and sampling in static scalar energy generative models are two instances of the same Lyapunov-driven density transport dynamics on Wasserstein space, differing only by initial condition, which yields a finite stopping criterion for Langevin sampling and additive composition rules that keep

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