2 papers
cs.LG2025
Geometry matters: insights from Ollivier Ricci Curvature and Ricci Flow into representational alignment through Ollivier-Ricci Curvature and Ricci Flow
Nahid Torbati, Michael Gaebler, Simon M. Hofmann +1
Representational similarity analysis (RSA) is widely used to analyze the alignment between humans and neural networks; however, conclusions based on this approach can be misleading…
cs.CV2025
Curvature as a tool for evaluating dimensionality reduction and estimating intrinsic dimension
Charlotte Beylier, Parvaneh Joharinad, Jürgen Jost +1
Utilizing recently developed abstract notions of sectional curvature, we introduce a method for constructing a curvature-based geometric profile of discrete metric spaces. The curv…