AINeutralarXiv – CS AI · 6h ago6/10
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Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves
Researchers introduce HilbNets, a novel deep learning framework that handles infinite-dimensional signals (like time series and probability distributions) on irregular domains using Hilbert bundles and cellular sheaves. The work provides theoretical convergence guarantees and demonstrates that discretized networks maintain consistency across different data sampling schemes, advancing geometric deep learning theory.