A topology-aware Extended Kalman Filter derived from stochastic PDEs on cell complexes performs state estimation and recovers unknown higher-order structures from partial network observations.
Topological dictionary learning
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Tutorial on TSP foundations via the combinatorial Hodge Laplacian with an illustrative application to edge signals in brain imaging data.
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Topological Kalman Filtering on Cell Complexes
A topology-aware Extended Kalman Filter derived from stochastic PDEs on cell complexes performs state estimation and recovers unknown higher-order structures from partial network observations.
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Topological Signal Processing: An Application-Oriented Tutorial
Tutorial on TSP foundations via the combinatorial Hodge Laplacian with an illustrative application to edge signals in brain imaging data.