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Beyond Gaussian Worlds: Latent Geometry Matters for JEPAs

arXiv · AI, language, vision and robotics · article · Sep 18, 2026 · UTC

Recent Joint-Embedding Predictive Architectures (JEPAs) prevent representation collapse by constraining learned representations to follow a prescribed target distribution, such as an isotropic Gaussian or the uniform distribution on a hypersphere. Klindt et al. (2026) showed that, under their Euclidean assumptions, matching a Gaussian target can recover Gaussian latent variables up to a linear transformation, and that the Gaussian is the unique distribution with this guarantee. We extend their analysis to latent variables supported on embedded Riemannian manifolds and derive conditions on the

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First collected: 2026-09-23T13:51:27.104Z. This is not the publication date.