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Source: paper_references, paper_reference_links, observed 2026-08-03T03:20:37.558016Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 0 inbound Pith citation observations for arXiv:2602.08785.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: paper_references, paper_reference_links, observed 2026-08-03T03:20:37.558016Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
77 of 77 outbound references displayed
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Observation ea25f641-edd7-4f9d-bce1-1eeccd82342b · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Trees and amenable equivalence relations.Ergodic Theory and Dynamical Systems, 10(1):1–14, 1990
Reference 1
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Observation cf7be0ce-2143-4fba-9b0c-11595a9f599d · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Springer, 2005
Reference 2
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Observation e7961f17-41eb-4f16-948b-297891cede29 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Characterizing the expressive power of invariant and equivariant graph neural networks.International Conference on Learning Representations, 2021
Reference 3
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Observation 14e5c56a-798d-401e-a665-69d4d63b5fde · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Action convergence of operators and graphs.Canadian Journal of Mathematics, 74(1):72–121, 2022
Reference 4
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Observation 60915b35-ce73-43f4-8e85-062902814264 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Emergence of scaling in random networks.Science, 286(5439):509–512, 1999
Reference 5
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Observation 8e1960ac-da05-4ebb-8d06-10013d51141b · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Probability and measure.A Wiley-Interscience Publica- tion, John Wiley, 118:119, 1995
Reference 6
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Observation 67e6f560-815c-4f68-92e0-f09e0440207c · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Springer, 2007
Reference 7
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Observation 840da83d-5666-4eea-aa9a-a4638719587b · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Fine-grained expressivity of graph neural networks.Advances in Neural Information Processing Systems, 36, 2024
Reference 8
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Observation a7765b99-b944-4b34-b576-faaef1016fdf · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Unresolved cited work
Reference 9
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Observation 069d9438-a5b7-4816-81c3-54bb867911c7 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Sparse exchangeable graphs and their limits via graphon processes.Journal of Machine Learning Research, 18(210):1–71, 2018
Reference 10
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Observation e54c7347-2565-42e5-ab51-1801bb548f1e · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation An Lp theory of sparse graph convergence ii: Ld convergence, quotients and right convergence.The Annals of Probability, 2018
Reference 11
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Observation f3e418ad-9cba-4f99-9b43-ebb4285d1738 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Convergent sequences of dense graphs i: Subgraph frequencies, metric properties and testing.Advances in Mathematics, 219(6):1801–1851, 2008
Reference 12
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Observation 4cda60a8-a785-4ee4-9964-903b659c1fb2 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Universal function approximation on graphs
Reference 13
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Observation 1a4adbd0-9b85-43f0-898e-75a8ae331e27 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation American Mathematical Society Providence, 2001
Reference 14
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Observation 99753be4-f5cc-4398-8b92-69a03fb85dc4 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Monte carlo and quasi-monte carlo methods.Acta numerica, 7:1–49, 1998
Reference 15
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Observation 0e3e7fff-c939-40db-a16c-d6ed91c3f1db · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Machine learning on graphs: A model and comprehensive taxonomy
Reference 16
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Observation 2ffaf536-ccbe-4499-9739-3a103b6c6b09 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Weisfeiler-lehman meets Gromov-Wasserstein.International Conference on Machine Learning, 2022
Reference 17
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Observation 5c95a2b8-4cfa-43c6-897a-ad70a89e8a54 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation On the equiva- lence between graph isomorphism testing and function approximation with gnns.Advances in neural information processing systems, 3, 2019
Reference 18
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Observation 10072545-6269-48bd-bc96-f2b2ea6a2899 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Approximation by superpositions of a sigmoidal function
Reference 19
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Observation 8e02670f-8efa-4f00-9348-f9bdc0014786 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Graph neural networks for social recommendation
Reference 20
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Observation bd701745-5b02-47d4-9af5-5e9d56499c84 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation John Wiley & Sons, 1999
Reference 21
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Observation 3641ce7a-bbeb-488e-a963-f2be270288da · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Spaces in which sequences suffice.Fundamenta Mathematicae, 57(1):107–115, 1965
Reference 22
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Observation 0bde7086-e08c-47ef-b297-95eb11363914 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation On the approximate realization of continuous mappings by neural networks.Neural networks, 2(3):183–192, 1989
Reference 23
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Observation 40dc342e-71b8-41d0-aea7-da45ad557dd1 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation A survey of graph neural networks for recommender systems: Challenges, methods, and directions.ACM Transactions on Recommender Systems, 1(1):1–51, 2023
Reference 24
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Observation f8f10de7-eb28-4abf-a03c-a3da0d1f05b7 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Generalization and representational limits of graph neural networks
Reference 25
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Observation fc254cbb-5b6c-420d-bc85-71e0d563d894 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Expressiveness and approximation properties of graph neural networks.International Conference on Learning Representations, 2022
Reference 26
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Observation a5e1a2cd-03d3-4239-9ecf-7d822b725dad · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Neural message passing for quantum chemistry
Reference 27
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Observation 3f230ad0-cf03-450a-af25-1575244c3280 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Fractional isomorphism of graphons.Combi- natorica, 42(3):365–404, 2022
Reference 28
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Observation 52e3fc9f-0512-470d-88d9-2b7b20485c89 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation word2vec, node2vec, graph2vec, x2vec: Towards a theory of vector embeddings of structured data
Reference 29
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Observation fe277b3d-c30c-4bb6-8ac6-9c3af43c4cb4 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Inductive representation learning on large graphs.Advances in neural information processing systems, 30, 2017
Reference 30
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Observation b2d1bc84-5090-43d3-80f6-6b7a194bf0dc · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation American Mathe- matical Soc., 1978
Reference 31
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Observation ed8a67ea-6d9a-488c-8ea2-7607f98879b6 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Limits of action convergent graph sequences with un- bounded (p, q)-norms, 2022
Reference 32
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Observation c2802751-865b-4ed2-a112-adf484ef0431 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Modeling Sparse Graph Sequences and Signals Using Generalized Graphons
Reference 33
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Observation 3947e570-609f-4133-a277-c5e9ac4c0876 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Generalized Graphon Process: Convergence of Graph Frequencies in Stretched Cut Distance
Reference 34
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Observation 285a1204-5d40-4ed6-b728-4f9102f037a8 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Convolutional neural networks for image classification
Reference 35
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Observation cfa006ad-ce64-4443-a974-c086d967c760 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Universal invariant and equivariant graph neural networks.Advances in neural information processing systems, 32, 2019
Reference 36
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Observation 2183978b-65dd-49b5-9e5f-178488d854f3 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Semi-supervised classification with graph convolutional networks.International Conference on Learning Representa- tions, 2017
Reference 37
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Observation d9398841-2c14-4dd1-83c7-32dedf54672c · outbound
Reference 38
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Observation 54655982-e979-4506-a0fa-d3deb80be0e8 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Multilayer feedforward networks with a nonpolynomial activation function can approximate any function.Neural networks, 6(6):861–867, 1993
Reference 39
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Observation 77ca4471-c937-410c-a421-812ef3fa8ce6 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation A graphon-signal analysis of graph neural networks.Advances in Neural Information Processing Systems, 36, 2024
Reference 40
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Observation 594e5231-1df9-422f-9734-6eac250da907 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation A pac-bayesian approach to generalization bounds for graph neural networks.International Conference on Learning Representations, 2021
Reference 41
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Observation dcfc04f4-cfaf-43d7-a57d-aa8618122df6 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation American Mathematical Soc., 2012
Reference 42
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Observation 93c4db8c-692a-4d9c-94c2-21afd1d267d9 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Szemer´ edi’s lemma for the analyst
Reference 43
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Observation bcdb79ed-e0ed-468f-8bc8-dd4ad816f010 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021
Reference 44
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Observation 34950f59-c086-4bad-85e7-8c33403476d3 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Generalization bounds for message passing networks on mixture of graphons.SIAM Journal on Mathematics of Data Science, 7(2):802–825, 2025
Reference 45
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Observation f34e594d-2b0e-4863-bcd4-a79068fd449c · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Transferability of graph neural networks: an extended graphon approach.Applied and Computational Harmonic Analysis, 63:48–83, 2023
Reference 46
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Observation 6fcfa0c8-4887-4ae8-ba1f-9d6c719b411d · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Generaliza- tion analysis of message passing neural networks on large random graphs
Reference 47
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Observation 58136ef5-b7c3-44e6-9362-b744400986b6 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation WL meet VC.International Conference on Machine Learning, 2023
Reference 48
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Observation caf7d40b-ebe6-4fdd-8ab3-cd94a26b0aa9 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Weisfeiler and leman go neural: Higher-order graph neural networks
Reference 49
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Observation 22fca7d2-ab3d-4ea3-b367-af36e956be30 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Generalization, ex- pressivity, and universality of graph neural networks on attributed graphs
Reference 50
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Observation c3da357e-83f9-49f8-a99f-ffa80f8d0927 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation A note on graphon-signal analysis of graph neural networks, 2025
Reference 51
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Observation ef425aed-c89c-4674-8eb8-84154dc6509a · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation McGraw-Hill, 1976
Reference 52
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Observation 6dfe81db-bcb6-4363-99c9-39ef65ffa83d · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Springer, 2015
Reference 53
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Observation 7efef0ad-5c62-450f-954a-5fafe16b7fca · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation The vapnik– chervonenkis dimension of graph and recursive neural networks.Neural Networks, 108:248–259, 2018
Reference 54
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Observation 4a264bbf-3812-4b77-804f-5fefaa36431e · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Unbalanced optimal transport, from theory to numerics.Handbook of Numerical Analysis, 24:407–471, 2023
Reference 55
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Observation 60f6ab56-ff80-4446-8edd-f36d88cf5899 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Cambridge university press, 2014
Reference 56
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Observation bcce3d3a-3e9d-4a04-ad73-1bb68376a2e9 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation American Mathematical Society, Providence, R.I, 2011
Reference 57
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Observation 73108970-7c0f-4958-997a-d31df2510733 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Covered forest: Fine-grained generalization analysis of graph neural networks
Reference 58
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Observation 4e04b62e-8771-4145-a840-c5a224772be0 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Survey on Generalization Theory for Graph Neural Networks
Reference 59
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Observation 42be840d-f5bf-4561-8f61-1a9cde56f31c · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Springer, 2009
Reference 60
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Observation b3fac593-f861-4dd6-ba3e-332d87ec48f7 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Molecular contrastive learning of representations via graph neural networks
Reference 61
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Observation c6b977bf-083b-48e5-a61c-04b96c382784 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Robustness and generalization.Machine learning, 86:391–423, 2012
Reference 62
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Observation 208e9917-931c-407a-9b36-353f1eac15ad · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation How pow- erful are graph neural networks?International Conference of Learning Representations, 2019
Reference 63
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Observation 23f9ae19-ff76-4f2a-a319-0b3ab6ff9d1f · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Unresolved cited work
Reference 64
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Observation e228cd98-115a-4a86-8259-b20c68b879ea · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation A.2.4 Marginal Measures When a measure is defined on a product space, it often represents a joint distribution of a sequence of random variables
Reference 65
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Observation aa858f41-95b6-44df-8d97-12fb0126689d · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Unresolved cited work
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A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Unresolved cited work
Reference 67
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Observation 22bde41d-e28f-4543-8d62-692fa6e5cb24 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Intuitively (and informally), µx can be interpreted as a measure supported on the level set {w∈ Ω |f (w) = x}
Reference 68
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Observation 9e0fb859-ef6c-489c-b425-dae5722e7a3b · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Unresolved cited work
Reference 69
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Observation 1d6e61c6-6bf7-422a-95b3-a834d9d23f24 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Monte Carlo approximation
Reference 70
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Observation 3822b0fc-13b8-43c6-8667-1a6b0ca88749 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation continuous node sets
Reference 71
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Observation acba6d04-a8ad-4bd7-bcf0-0a8bf673ff9c · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Denote byB(Ω) the set of allP-operators on Ω
Reference 72
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Observation 0f2dce2b-2032-4446-9d88-a0470d8dc3ca · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Denote by Bp,q(Ω) the space of all P-operators with finite ( p, q) norm
Reference 73
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Observation 921a7585-46c3-451a-a0e5-bc1a291051b1 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation neighborhoods
Reference 74
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Observation 14274652-8056-435d-9157-3c68f4f18feb · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Thediagonal marginalizationof ν, denoted by DMd(ν), is the Borel measure onR 2k obtained by marginalizing out the coordinatesy 2
Reference 75
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Observation 255e56bd-c1eb-4678-b3b9-67020d0f43e4 · outbound
A Graphop Analysis of Graph Neural Networks on Sparse Graphs: Generalization and Universal Approximation Explicitly, DMd(Sk,d) := n DMd(ν) ν∈S Td k,d o
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Reference 77
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