Tag: simplicial
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Simplicial Gaussian Models: Representation and Inference
Simplicial Gaussian Models: Representation and Inference arXiv:2510.12983v1 Announce Type: new Abstract: Probabilistic graphical models (PGMs) are powerful tools for representing statistical dependencies through graphs in high-dimensional systems. However, they are limited to pairwise interactions. In this work, we propose the simplicial Gaussian model (SGM), which extends Gaussian PGM to simplicial complexes. SGM jointly models random…
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Matched Topological Subspace Detector
Matched Topological Subspace Detector arXiv:2504.05892v1 Announce Type: new Abstract: Topological spaces, represented by simplicial complexes, capture richer relationships than graphs by modeling interactions not only between nodes but also among higher-order entities, such as edges or triangles. This motivates the representation of information defined in irregular domains as topological signals. By leveraging the spectral dualities…