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Georgios Batzolis

3 accepted papers

2025

Score-based Pullback Riemannian Geometry: Extracting the Data Manifold Geometry using Anisotropic Flows

ICML 2025poster

Data-driven Riemannian geometry has emerged as a powerful tool for interpretable representation learning, offering improved efficiency in downstream tasks. Moving forward, it is crucial to balance cheap manifold mappings with efficient training algorithms. In this work, we integrate concepts from pu…

Cited by 0SourcePDFScholar
2024

Diffusion Models Encode the Intrinsic Dimension of Data Manifolds

ICML 2024poster

In this work, we provide a mathematical proof that diffusion models encode data manifolds by approximating their normal bundles. Based on this observation we propose a novel method for extracting the intrinsic dimension of the data manifold from a trained diffusion model. Our insights are based on t…

Cited by 20SourcePDFScholar
2022

How to Distribute Data across Tasks for Meta-Learning?

AAAI 2022technical

Meta-learning models transfer the knowledge acquired from previous tasks to quickly learn new ones. They are trained on benchmarks with a fixed number of data points per task. This number is usually arbitrary and it is unknown how it affects performance at testing. Since labelling of data is expensi…

Cited by 7SourcePDFScholar