Results 31 to 40 of about 8,535,805 (358)
Energy-based Out-of-Distribution Detection for Graph Neural Networks [PDF]
International Conference on Learning Representations, 2023 Learning on graphs, where instance nodes are inter-connected, has become one of the central problems for deep learning, as relational structures are pervasive and induce data inter-dependence which hinders trivial adaptation of existing approaches that ...
Qitian Wu +3 more
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Novel Concept of Energy in Bipolar Single-Valued Neutrosophic Graphs with Applications
Axioms, 2021 The energy of a graph is defined as the sum of the absolute values of its eigenvalues. Recently, there has been a lot of interest in graph energy research.
Siti Nurul Fitriah Mohamad +3 more
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Energetics of the Quantum Graphity Universe [PDF]
, 2014 Quantum graphity is a background independent model for emergent geometry, in which space is represented as a complete graph. The high-energy pre-geometric starting point of the model is usually considered to be the complete graph, however we also ...
Greentree, Andrew D. +1 more
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Energy-Based Learning for Scene Graph Generation [PDF]
Computer Vision and Pattern Recognition, 2021 Traditional scene graph generation methods are trained using cross-entropy losses that treat objects and relationships as independent entities. Such a formulation, however, ignores the structure in the output space, in an inherently structured prediction
M. Suhail +6 more
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Advances in Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koolen, Jack H., Moulton, Vincent
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{0,1}-Brauer Configuration Algebras and Their Applications in Graph Energy Theory
Mathematics, 2021 The energy E(G) of a graph G is the sum of the absolute values of its adjacency matrix. In contrast, the trace norm of a digraph Q, which is the sum of the singular values of the corresponding adjacency matrix, is the oriented version of the energy of a ...
Natalia Agudelo Muñetón +3 more
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Graph Energies of Egocentric Networks and Their Correlation with Vertex Centrality Measures
Entropy, 2018 Graph energy is the energy of the matrix representation of the graph, where the energy of a matrix is the sum of singular values of the matrix. Depending on the definition of a matrix, one can contemplate graph energy, Randić energy, Laplacian energy ...
Mikołaj Morzy, Tomasz Kajdanowicz
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The skew energy of random oriented graphs [PDF]
, 2013 Given a graph $G$, let $G^\sigma$ be an oriented graph of $G$ with the orientation $\sigma$ and skew-adjacency matrix $S(G^\sigma)$. The skew energy of the oriented graph $G^\sigma$, denoted by $\mathcal{E}_S(G^\sigma)$, is defined as the sum of the ...
Chen, Xiaolin +2 more
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Energy of a digraph with respect to a VDB topological index
Special Matrices, 2022 Let DD be a digraph with vertex set VV and arc set EE. For a vertex uu, the out-degree and in-degree of uu are denoted by du+{d}_{u}^{+} and du−{d}_{u}^{-}, respectively.
Monsalve Juan, Rada Juan
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Research and Application of Hypernetwork Energy
Jisuanji kexue yu tansuo, 2021 Graph energy plays an important role in research of graph theory. Graph energy and many other similar variants have been applied in many other types of graphs, e.g., undirected graphs, oriented graphs, mixed graphs, and so on.
LIU Shengjiu, LI Tianrui, LIU Jia, XIE Peng
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