Measure Before You Look: Grounding Embeddings Through Manifold Metrics

Published in NeurReps workshop & UniReps workshop @ NeurIPS 2025

Authors: César Miguel Valdez Córdova, Matthew Scicluna, Shuang Ni, Smita Krishnaswamy, Simon Gravel, Guy Wolf

Proposed a geometry-aware framework using intrinsic dimensionality metrics to assess embedding quality and show that Jacobian-regularized autoencoders yield embeddings that better preserve the original manifold structure.