Hyperbolic Music Attribution

Music production commonly works with separate components such as drum parts, bass lines, stems and submixes. As generative models are developed to produce such components, their training data may also include individual stems or mixtures of stems rather than only complete recordings. This makes provenance a structured problem: can exposure to a component during adaptation be detected, and can that effect be localised to the component rather than extending to the song it belongs to? This distinction matters for auditing generative music systems, including applications in content identification and copyright analysis. Because stems, submixes, and full recordings are related by containment, provenance also has a hierarchical structure, motivating representations that can capture these relations explicitly. We first study training-data membership under controlled partial exposure. A latent-diffusion text-to-music model is fine-tuned with a low-rank adapter on selected stems and mixtures, and we compare trained mixtures, untrained mixtures sharing constituent stems with trained mixtures, and clips containing no exposed stems. This allows us to examine whether exposure can be detected at the component level rather than only at the level of the complete song. We then ask whether the structure among these musical parts is better represented in hyperbolic than Euclidean space. We compare hyperbolic and Euclidean projection heads of identical size over a frozen audio encoder, trained on known stem-containment relations and evaluated on unseen songs. To the best of our knowledge, this is one of the first studies to jointly examine component-level training exposure and hyperbolic representations of the hierarchical relation among stems, submixes, and complete recordings. Together, these experiments provide a controlled framework for studying partial training exposure in structured data, where the relevant unit of provenance may be a component, a composition of components, or a larger hierarchy containing them.