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20192026
most citedTopology-based Representative Datasets to Reduce Neural Network Training Resources

7 citations · 13 across the 10 of their papers we have counts for

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math.AT2026

Learning Tangent Bundles and Characteristic Classes with Autoencoder Atlases

Eduardo Paluzo-Hidalgo, Yuichi Ike

We introduce a theoretical framework that connects multi-chart autoencoders in manifold learning with the classical theory of vector bundles and characteristic classes. Rather than…

math.AT2023★ 2 cited

Topological Quality of Subsets via Persistence Matching Diagrams

Álvaro Torras-Casas, Eduardo Paluzo-Hidalgo, Rocio Gonzalez-Diaz

Data quality is crucial for the successful training, generalization and performance of machine learning models. We propose to measure the quality of a subset concerning the dataset…