Results 11 to 20 of about 468,741 (299)
Rank Collapse Causes Over-Smoothing and Over-Correlation in Graph Neural Networks [PDF]
LOG IN, 2023 Our study reveals new theoretical insights into over-smoothing and feature over-correlation in graph neural networks. Specifically, we demonstrate that with increased depth, node representations become dominated by a low-dimensional subspace that depends
Andreas Roth, T. Liebig
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Современные информационные технологии и IT-образование, 2021 The theory discussed in the article refers to the theory of functional systems. This branch of mathematics explores functions defined on finite sets, as well as the composition of these functions.
Dmitriy Eremenko
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Evaluation of Water Distribution Network Partitioning Methods Based on Graph Theory Using AHP [PDF]
آب و فاضلاب, 2020 The dramatic decline in renewable water resources, leakage and pollution in water distribution systems has led to a significant increase in the focus on leakage management and control approaches in most parts of the world.
Vida Dahrazma +1 more
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Tensor rank and other multipartite entanglement measures of graph states [PDF]
Physical Review A, 2022 Graph states play an important role in quantum information theory through their connection to measurement-based computing and error correction. Prior work has revealed elegant connections between the graph structure of these states and their multipartite
Louis Schatzki +3 more
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Lanczos method for spatio‐temporal graph convolutional networks to forecast expressway flow
IET Intelligent Transport Systems, 2023 Traffic forecasting has made pronounced progress with the development of graph convolution networks and the use of the topology of road networks. However, existing works face some limitations when it comes to modelling spatial dependencies.
Zhumei Gou, Yonggang Shen, Shuifu Chen
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PLoS ONE, 2022 Organized into a global network of critical infrastructures, the oil & gas industry remains to this day the main energy contributor to the world's economy. Severe accidents occasionally occur resulting in fatalities and disruption.
Arnaud Mignan +4 more
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A framework for evaluating statistical dependencies and rank correlations in power law graphs [PDF]
, 2008 We analyze dependencies in power law graph data (Web sample, Wikipedia sample and a preferential attachment graph) using statistical inference for multivariate regular variation.
Litvak, N., Volkovich, Y.V., Zwart, B.
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A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph [PDF]
Journal of operator theory, 2018 The Toeplitz algebra of a finite graph of rank k carries a natural action of the torus Tk, and composing with an embedding of R in Tk gives a dynamics on the Toeplitz algebra.
James Fletcher +2 more
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How to construct the symmetric cycle of length 5 using Haj\'os construction with an adapted Rank Genetic Algorithm [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 In 2020 Bang-Jensen et. al. generalized the Haj\'os join of two graphs to the class of digraphs and generalized several results for vertex colorings in digraphs.
Juan Carlos García-Altamirano +2 more
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Journal of High Energy Physics, 2023 We study the 3d N $$ \mathcal{N} $$ = 4 RG-flows triggered by Fayet-Iliopoulos deformations in unitary quiver theories. These deformations can be implemented by a new quiver algorithm which contains at its heart a problem at the intersection of linear ...
Antoine Bourget +2 more
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