Results 21 to 30 of about 457,473 (310)
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
semanticscholar +1 more source
Perron-Frobenius theory and KMS states on higher-rank graph C*-Algebras
, 2019 In this thesis, we study the Perron-Frobenius theory for irreducible matrices and irreducible family of commuting matrices in detail. We then apply it to study the KMS states of the $C^*$-algebras of $ k $-graphs. To be more precise, we define the Toeplitz algebra $ \mathcal{T}C^{*}(\Lambda) $ and $C^*$-algebra $ C^{*}(\Lambda) $ for a $ k $-graph ...
Samandeep Singh
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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
semanticscholar +1 more source
Deep generative model for the inverse design of Van der Waals heterostructures [PDF]
Scientific ReportsThis study proposes ConditionCDVAE+, a crystal diffusion variational autoencoder (CDVAE) based deep generative model for inverse design of van der Waals (vdW) heterostructures.
Shikun Gao +9 more
doaj +2 more sources
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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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
doaj +1 more source
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.
core +11 more sources
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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