Zero-shot Geometry-Aware Diffusion Guidance for Music Restoration

Published: 23 Sept 2025, Last Modified: 08 Nov 2025AI4MusicEveryoneRevisionsBibTeXCC BY 4.0
Keywords: Music Diffusion Models, Geometry-aware Guidance, Zero-shot Music Restoration
TL;DR: Zero-shot geometry-aware diffusion guidance that enables higher-quality music restoration in a plug-and-play manner.
Abstract: Diffusion models have emerged as powerful generative frameworks and are increasingly used as foundational models for music generation tasks. Recent works have proposed various inference-time optimization methods to adapt pretrained models to downstream tasks. However, these approaches often push noisy samples away from the expected distribution in the diffusion reverse process when applying task-specific loss gradients. To address this issue, we propose Diffusion Geodesic Guidance (DGG), a geometry-aware method that operates on a pretrained diffusion prior preserving the distribution-induced geometry of noisy samples via a closed-form spherical linear interpolation. It updates noisy samples along geodesics of the underlying geometry. We then apply the zero-shot plug-and-play DGG to four multi-task music restoration tasks, achieving consistent improvements over existing training-free baselines and demonstrating a surprisingly wide range of applications for multi-task music restoration.
Track: Paper Track
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Submission Number: 8
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