Results 71 to 80 of about 41,298 (230)
Hypergraph Learning with Line Expansion
, 2020 Previous hypergraph expansions are solely carried out on either vertex level or hyperedge level, thereby missing the symmetric nature of data co-occurrence, and resulting in information loss.
Abdelzaher, Tarek +3 more
core
Multipartite Entanglement and Hypergraph states of three qubits
, 2013 Several entanglement measures are used to define equivalence classes in the set of hypergraph states of three qubits. Our classifications reveal that (i) under local unitary transformations, hypergraph states of three qubits are split into six classes ...
Bao, Yan-ru +3 more
core +1 more source
Definition and Computation of Tensor‐Based Generalized Function Composition
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
On $\alpha$-spectral theory of a directed k-uniform hypergraph [PDF]
Computer Science Journal of Moldova, 2020 In this paper, we study a k-uniform directed hypergraph in general form and introduce its adjacency tensor, Laplacian tensor and signless Laplacian tensor. For the $k$-uniform directed hypergraph $\mathcal{H}$ and $0\leq \alpha
Gholam-Hasan Shirdel +2 more
doaj
Multi-grained hypergraph interest modeling for conversational recommendation
AI Open, 2023 Conversational recommender system (CRS) interacts with users through multi-turn dialogues in natural language, which aims to provide high-quality recommendations for user’s instant information need.
Chenzhan Shang +4 more
doaj +1 more source
Regarding Equitable Colorability Defect of Hypergraphs [PDF]
, 2022 Saeed Shaebani
openalex +1 more source
International Mathematics Research NoticesAbstract We showthat for every integer $k\geqslant 3$ the set of Turán densities of $k$-uniform hypergraphs has an accumulation point in $[0,1)$. In particular, $1/2$ is an accumulation point for the set of Turán densities of $3$-uniform hypergraphs.
Conlon, David, Schülke, Bjarne
openaire +2 more sources
Randomized Hypergraph States and Their Entanglement Properties
Annalen der Physik, Volume 538, Issue 1, January 2026.Randomized hypergraph (RH) states are mixed states that extend the concept of randomized graph states to multi‐qubit hypergraphs subject to probabilistic gate imperfections. By modeling noisy multi‐qubit operations, this work reveals nonmonotonic behavior in bipartite and multipartite entanglement, derives analytical witnesses for specific hypergraph ...
Vinícius Salem +2 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 1, January 2026.This work tackles the unresolved stability problem of heterogeneous quaternion‐valued BAM neural networks plagued by unknown parameters, time‐varying delays, and impulses. By synergizing Lyapunov theory with inequality techniques, we establish rigorous, yet practical, global stability conditions.
Xi Long, Yaqin Li
wiley +1 more source
Multi-Level Refinement Algorithm of Weighted Hypergraph Partitioning Problem
Journal of Intelligent Systems, 2017 The formal description of weighted hypergraph partitioning problem is presented. We describe the solution of the weighted hypergraph partitioning problem based on the multi-level method.
Leng Ming, Sun Ling-yu, Guo Kai-qiang
doaj +1 more source