Time-varying synergy/redundancy dominance in the human cerebral cortex [0.03%]
人类大脑皮层中随时间变化的协同作用/冗余主导性
Maria Pope,Thomas F Varley,Maria Grazia Puxeddu et al.
Maria Pope et al.
Recent work has emphasized the ubiquity of higher-order interactions in brain function. These interactions can be characterized as being either redundancy or synergy-dominated by applying tools from multivariate information theory. Though r...
Quantifying edge relevance for epidemic spreading via the semi-metric topology of complex networks [0.03%]
复杂网络半度量拓扑下流行病传播中边缘相关性的量化研究
David Soriano-Paños,Felipe Xavier Costa,Luis M Rocha
David Soriano-Paños
Sparsification aims at extracting a reduced core of associations that best preserves both the dynamics and topology of networks while reducing the computational cost of simulations. We show that the semi-metric topology of complex networks ...
Khovanov Laplacian and Khovanov Dirac for knots and links [0.03%]
纽结和链路的Khovanov拉普拉斯算子与Khovanov狄拉克算子
Benjamin Jones,Guo-Wei Wei
Benjamin Jones
Khovanov homology has been the subject of much study in knot theory and low dimensional topology since 2000. This work introduces a Khovanov Laplacian and a Khovanov Dirac to study knot and link diagrams. The harmonic spectrum of the Khovan...
Faisal Suwayyid,Guo-Wei Wei
Faisal Suwayyid
Topological data analysis (TDA) has made significant progress in developing a new class of fundamental operators known as the Dirac operator, particularly in topological signals and molecular representations. However, the current approaches...
Jordan C Rozum,Luis M Rocha
Jordan C Rozum
Minimum spanning trees and forests are powerful sparsification techniques that remove cycles from weighted graphs to minimize total edge weight while preserving node reachability, with applications in computer science, network science, and ...