Results 101 to 110 of about 56,162 (272)
Definition and Computation of Tensor‐Based Generalized Function Composition
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
Abstract 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
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
Hyper-Null Models and Their Applications
Null models are crucial tools for investigating network topological structures. However, research on null models for higher-order networks is still relatively scarce.
Yujie Zeng +3 more
doaj +1 more source
Properties of Bipolar Fuzzy Hypergraphs [PDF]
In this article, we apply the concept of bipolar fuzzy sets to hypergraphs and investigate some properties of bipolar fuzzy hypergraphs. We introduce the notion of $A-$ tempered bipolar fuzzy hypergraphs and present some of their properties.
Akram, M., Dudek, W. A., Sarwar, S.
core
Configuration Models of Random Hypergraphs and their Applications [PDF]
Many empirical networks are intrinsically polyadic, with interactions occurring within groups of agents of arbitrary size. There are, however, few flexible null models that can support statistical inference in polyadic networks. We define a class of null
Philip S. Chodrow
semanticscholar +1 more source
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
In this paper, energies associated with hypergraphs are studied. More precisely, results are obtained for the incidence and the singless Laplacian energies of uniform hypergraphs. In particular, bounds for the incidence energy are obtained as functions of well known parameters, such as maximum degree, Zagreb index and spectral radius.
Kauê Cardoso, Vilmar Trevisan
openaire +4 more sources
IntelliMetro‐Hybrid is an intelligent fusion framework that integrates machine learning (ML) and deep learning (DL) for real‐time anomaly detection and economic optimization in smart metro systems. The model combines tree‐based feature extraction (Random Forest, XG Boost) with a deep neural classifier to effectively handle imbalanced, heterogeneous ...
Sijin Peng +6 more
wiley +1 more source
Hypergraph Representation via Axis-Aligned Point-Subspace Cover [PDF]
We propose a new representation of $k$-partite, $k$-uniform hypergraphs, that is, a hypergraph with a partition of vertices into $k$ parts such that each hyperedge contains exactly one vertex of each type; we call them $k$-hypergraphs for short.
Oksana Firman, Joachim Spoerhase
doaj +1 more source

