2 papers
cs.IT2026
SheafIQ: Sheaf-Theoretic Information Quantification of Vector Fields on Geometric Graphs
Cong Shen, Guancen Lin, Chuan-Shen Hu
Vector fields on graph structures naturally arise in diverse biological and engineered systems, where vector-valued states are defined on the nodes and evolve through the network i…
math.AT2025
Cellular Sheaves on Higher-Dimensional Structures
Chuan-Shen Hu
Defining cellular sheaves beyond graph structures, such as on simplicial complexes containing higher-dimensional simplices, is an essential and intriguing topic in topological data…