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We introduce simplicial VAR models for time-varying processes observed on higher-order networks. These models adeptly capture intricate spatio-temporal dependencies within simplicial signals while significantly reducing parameter complexity relative to conventional VAR models.
This Python code generates a Combinatorial Discrete Cell Complex for the slip planes arrangement in FCC and BCC lattices as a set of Adjacency and Incidence matrices
UDiPH is a package that creates a new metric space where the points are uniformly sampled with respect to a global metric. It is oriented for creating Vietoris-Rips filtrations that are independent of the metric of the initial space.
MATLAB iterative algorithm that fits a n-dimensional simplicial complex to a point cloud in arbitrary dimensions based on a generalization of k-means clustering