AINeutralarXiv – CS AI · 8h ago5/10
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Incremental Sheaf Cohomology on Cellular Complexes: O(1)-in-n Lazy Edit Processing under Bounded Local Geometry
Researchers present an algorithmic framework for efficiently maintaining sheaf cohomology computations on dynamically evolving cellular complexes, reducing edit processing time from O(mn³) to O(1) per operation under bounded local geometry assumptions. The method demonstrates practical viability through experiments on large-scale graphs with millions of vertices and streaming edits, achieving microsecond-level latency while maintaining zero computational drift.