Search Results - HYPERGRAPH THEORY

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    Hypergraph and Uncertain Hypergraph Representation Learning Theory and Methods by Liyan Zhang, Jingfeng Guo, Jiazheng Wang, Jing Wang, Shanshan Li, Chunying Zhang

    Published in Mathematics (2022-06-01)
    “…Firstly, this paper described the development process, the application areas, and the existing review research of hypergraphs; secondly, introduced the theory of hypergraphs briefly; then, compared the learning methods of ordinary graphs and hypergraphs from three aspects: matrix decomposition, random walk, and deep learning; next, introduced the structural optimization of hypergraphs from three perspectives: dynamic hypergraphs, hyperedge weight optimization, and multimodal hypergraph generation; after that, the applicability of three uncertain hypergraph models were analyzed based on three uncertainty theories: probability theory, fuzzy set, and rough set; finally, the future research directions of hypergraphs and uncertain hypergraphs were prospected.…”
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    On the separability of elements and sets in hypergraphs of models of a theory by S.V. Sudoplatov

    “… We consider topological properties of hypergraphs of models of a theory. The separability of elements in these hypergraphs is characterized in terms of algebraic closures. …”
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