Tag: Decomposition
Interval decompositions depend on free cokernels and field choice
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in MathematicsWhat the study found The study shows that pointwise free and finitely generated persistence modules over a principal ideal domain can be decomposed into intervals exactly when every structure map has a free cokernel. It also shows that, in torsion-free settings, the integer persistent homology module of a filtration of topological spaces has an interval…
Benders decomposition speeds multi-sector capacity expansion models
What the study found The study found that sectoral and spatial Benders decomposition methods can make multi-sector capacity expansion models faster to solve. The authors also developed a budget-based formulation to connect the upper and sub-problems more efficiently. Why the authors say this matters The authors say this matters because multi-sector capacity expansion models are…
HKEN improved influential-node identification in network tests
Algorithm for identifying influential nodes in complex networks by integrating hierarchical k-shell decomposition with extended neighborhood analysis, validated against SIR propagation models.
