Geometry-Correct Diffusion Posterior Sampling with Denoiser-Pullback Curvature Guidance and Manifold-Aligned Damping
Published in The Forty-Third International Conference on Machine Learning (ICML), 2026
CLAMP is a diffusion posterior sampler for inverse problems that replaces hand-tuned scalar likelihood guidance with geometry-aware, per-noise-level damped Gauss–Newton corrections in diffusion-state coordinates. It pulls likelihood sensitivity back through the denoiser, uses a one-sided curvature model with manifold-aligned rank-one damping, solves each correction with matrix-free GMRES, and advances sampling via a variance-preserving Langevin transition. OpenReview · PDF
