Small-time score-mixed diffusion dynamics are governed by the geometric potential Φ_λ = λ d1² + (1-λ) d2², reducing the problem to Clarke subgradient inclusions with convergence guarantees in the Dirac-mixture case.
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Lagrangian flow matching reformulates flow matching paths via the least-action principle, recovering optimal-transport and trigonometric diffusion paths as special cases of kinetic and harmonic Lagrangians while enabling new paths.
Pose-LDM generates occluded in-bed images from keypoints to augment training data, achieving top accuracy under severe occlusion compared to other augmentation methods.
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Geometric Asymptotics of Score Mixing and Guidance in Diffusion Models
Small-time score-mixed diffusion dynamics are governed by the geometric potential Φ_λ = λ d1² + (1-λ) d2², reducing the problem to Clarke subgradient inclusions with convergence guarantees in the Dirac-mixture case.
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Lagrangian Flow Matching: A Least-Action Framework for Principled Path Design
Lagrangian flow matching reformulates flow matching paths via the least-action principle, recovering optimal-transport and trigonometric diffusion paths as special cases of kinetic and harmonic Lagrangians while enabling new paths.
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Geometry-Conditioned Diffusion for Occlusion-Robust In-Bed Pose Estimation
Pose-LDM generates occluded in-bed images from keypoints to augment training data, achieving top accuracy under severe occlusion compared to other augmentation methods.