HilbNets discretize Hilbert bundle convolutions through Hilbert Cellular Sheaves whose Laplacians converge to the continuous connection Laplacian, enabling consistent learning across samplings.
Geometric quantization of chern– simons gauge theory.Journal of Differential Geometry, 33(3):787–902, May 1991
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Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves
HilbNets discretize Hilbert bundle convolutions through Hilbert Cellular Sheaves whose Laplacians converge to the continuous connection Laplacian, enabling consistent learning across samplings.