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Paper · arXiv

Not All Latent Spaces Are Flat: Hyperbolic Concept Control

As modern text-to-image (T2I) models draw closer to synthesizing highly realistic content, the threat of unsafe content generation grows, and it becomes paramount to exercise control. Existing approaches steer these models by applying Euclidean adjustments to text embeddings, redirecting the generation away from unsafe concepts. In this work, we introduce hyperbolic control (HyCon): a novel control mechanism based on parallel transport that leverages semantically aligned hyperbolic representation space to yield more expressive and stable manipulation of concepts. HyCon reuses off-the-shelf generative models and a state-of-the-art hyperbolic text encoder, linked via a lightweight adapter. ...

AuthorsMaria Rosaria Briglia, Simone Facchiano, Paolo Cursi et al.
Primary categorycs.LG
Published14 March 2026
Last updated at source3 April 2026
cs.LGcs.AI
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