Hypergraph product
Web20 feb. 2024 · This work specialises in hypergraph product (HGP) codes and seeks to lay the groundwork for a quantum computer architecture based on them. The leading … Web1 jan. 2006 · The most commonly studied hypergraph product is the direct product, which consists of the Cartesian product of vertex sets, and the Cartesian (set) products of the hyperedges [3,5,18,17].
Hypergraph product
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WebHyperGraph combines these features with high-quality presentation output and customization capabilities to create a complete data analysis system for any … WebRank of a hypergraph. hdegree: Degrees of a hypergraph. hnames: The number of vertices, edges and statistics of the hypergraph. horder: The number of vertices, edges and statistics of the hypergraph. hrank: Rank of a hypergraph. hsize: The number of vertices, edges and statistics of the hypergraph. HyperG: Hypergraphs in R: …
Web25 jul. 2024 · Song Bai, Feihu Zhang, and Philip HS Torr. 2024. Hypergraph Convolution and Hypergraph Attention. arXiv preprint arXiv:1901.08150 (2024 ... Narayan … Web4 apr. 2024 · Using this new BP-OSD decoder we study the performance of several known classes of degenerate QLDPC codes including hypergraph product codes, …
Web27 mrt. 2024 · def simplicial_contagion(hypergraph, I_0, T, beta, beta_D, mu): """ Simulates the contagion process on a simplicial hypergraph. The process is run for T time steps. The initial condition is given by I_0, which is a vector of length equal to the number of nodes in the hypergraph. WebWe show that every simple, (weakly) connected, possibly directed and infinite, hypergraph has a unique prime factor decomposition with respect to the (weak) Cartesian product, …
Web23 apr. 2024 · Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip …
WebProduct Update: March 2024. See What's New. See for yourself what we've been working on: Components are finally here! Create custom links and buttons to share your project … react-dnd for sorted array list react jsWebdevelopments in hypergraph product codes, photonic architectures may permit one way to realize these codes some day. Main contributions.—In this paper, we describe the first … how to stop all these pop upsWebAs part of ALS, Hypergraph has the full support and security of the group’s larger infrastructure. With one of the largest product lists of any laboratory supplies company … how to stop all unnecessary processesWeb30 nov. 2024 · Abstract: In a fault tolerant quantum computer, quantum codes are expected to serve the conflicting purposes of protecting quantum information while also allowing … how to stop all unwanted emails in gmailWeb14 apr. 2024 · To address these challenges, we propose a novel architecture called the sequential hypergraph convolution network (SHCN) for next item recommendation. First, we design a novel data structure, called a sequential hypergraph, that accurately represents the behavior sequence of each user in each sequential hyperedge. react-doc-viewer invalid hook callWebRecall that an r-uniform hypergraph Hconsists of a nonempty set V(H) of vertices and a set E(H) of di erent unordered r-tuples of distinct vertices, called hyperedges. For an overview of hypergraph products and some of their basic properties, the reader is referred to [8]. Let H 1 and H 2 be r-uniform hypergraphs. Then the lexicographic product ... react-dnd previewoptionsWebThe literature on hypergraph products is surveyed with an emphasis on comparing the alternative generalizations of graph products and the relationships among them, and the so-called 2-sections and L2-sections are considered. Expand. 27. Highly Influenced. PDF. View 26 excerpts, cites methods and background; react-dnd grid