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20242026
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cs.LG2026

Beckmann Transport Models: From Autonomous Flows to One-Step Maps

Lee Cheuk-Kit, Florentin Coeurdoux, Yuyuan Chen +5

We propose an instantiation of flow matching that relies on a time-independent velocity field (an \emph{autonomous flow}) to exactly map between two distributions, so long as the t…

cs.LG2026

Discrete Tilt Matching

Yuyuan Chen, Shiyi Wang, Peter Potaptchik +2

Masked diffusion large language models (dLLMs) are a promising alternative to autoregressive generation. While reinforcement learning (RL) methods have recently been adapted to dLL…

cs.LG2026

CREPE: Controlling Diffusion with Replica Exchange

Jiajun He, Paul Jeha, Peter Potaptchik +5

Inference-time control of diffusion models aims to steer model outputs to satisfy new constraints without retraining. Previous approaches have mostly relied on heuristic guidance o…

cs.LG2025

Diffusion Models and the Manifold Hypothesis: Log-Domain Smoothing is Geometry Adaptive

Tyler Farghly, Peter Potaptchik, Samuel Howard +2

Diffusion models have achieved state-of-the-art performance, demonstrating remarkable generalisation capabilities across diverse domains. However, the mechanisms underpinning these…

cs.LG2024

Metric Flow Matching for Smooth Interpolations on the Data Manifold

Kacper Kapuśniak, Peter Potaptchik, Teodora Reu +5

Matching objectives underpin the success of modern generative models and rely on constructing conditional paths that transform a source distribution into a target distribution. Des…