A normalized entropy, computed from sheaf residuals that compare neighboring vector states in edge-aligned frames, is proposed as a descriptor of how vector fields are organized on geometric graphs and is demonstrated on proteins, brains, traffic, and power grids.
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SheafIQ: Sheaf-Theoretic Information Quantification of Vector Fields on Geometric Graphs
A normalized entropy, computed from sheaf residuals that compare neighboring vector states in edge-aligned frames, is proposed as a descriptor of how vector fields are organized on geometric graphs and is demonstrated on proteins, brains, traffic, and power grids.