Collapsed Effective Operators use Schur complement on graded Laplacians to create vertex-level operators that encode higher-order topology, preserve PSD, and improve spectral clustering and smoothing.
arXiv preprint arXiv:2508.07761 , year=
2 Pith papers cite this work. Polarity classification is still indexing.
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Characterization of the complex property ∂∂=0 for the boundary operator on weighted infinite simplicial complexes in ℓ² via recurrence of links.
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Collapsed Effective Operators for Higher-order Structures
Collapsed Effective Operators use Schur complement on graded Laplacians to create vertex-level operators that encode higher-order topology, preserve PSD, and improve spectral clustering and smoothing.
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The complex property of the boundary operator on simplicial complexes
Characterization of the complex property ∂∂=0 for the boundary operator on weighted infinite simplicial complexes in ℓ² via recurrence of links.