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Paper Citation Record · LEDGER

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields

As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2607.28989.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.28989 v1

Coverage vector

measured 58 of 58 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T15:56:13.049034Z

measured 58 of 58 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

58 of 58 outbound references displayed

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Outbound references

Observation ce9c6df9-10a8-4774-bb82-f8a83a093bba · outbound

This paper cites Battaglia, Razvan Pascanu, Matthew Lai, Danilo Jimenez Rezende, and Koray Kavukcuoglu.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Battaglia, Razvan Pascanu, Matthew Lai, Danilo Jimenez Rezende, and Koray Kavukcuoglu

Reference 1

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Observation 2199ba38-a521-4895-9634-bd28a4af2c05 · outbound

This paper cites Schoenholz, Patrick F.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Schoenholz, Patrick F

Reference 2

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Observation 0ebd4a62-04eb-4800-ae01-270b532b1ff9 · outbound

This paper cites Gomez, Lukasz Kaiser, and Illia Polosukhin.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 3

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Observation ebec9df4-70d9-4f30-8aeb-ed7aa90707c5 · outbound

This paper cites Zico Kolter, and Vladlen Koltun.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Zico Kolter, and Vladlen Koltun

Reference 4

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Observation e1e3d8b8-5035-437f-941b-cc47f217691c · outbound

This paper cites Implicit graph neural networks.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Implicit graph neural networks

Reference 5

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Observation 2fcd8f22-084c-4397-bf98-890537c68e71 · outbound

This paper cites Rumelhart, Geoffrey E.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Rumelhart, Geoffrey E

Reference 6

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Observation f80e71d1-b422-4991-8e3f-ef020c0e3500 · outbound

This paper cites Hopfield.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Hopfield

Reference 7

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Observation 5058c1df-1b0a-480e-b018-2b69e81426c5 · outbound

This paper cites A tutorial on energy-based learning.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields A tutorial on energy-based learning

Reference 8

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Observation bd4cf811-245e-4351-bc13-0e313294fb7c · outbound

This paper cites Deep residual learning for image recognition.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Deep residual learning for image recognition

Reference 9

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Observation 005a0a50-3d63-4ebe-8ae5-10c2e5baa069 · outbound

This paper cites an unresolved cited work.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Unresolved cited work

Reference 10

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Observation 544f472d-8a30-4fad-81b4-bc29574033e4 · outbound

This paper cites The graph neural network model.IEEE Transactions on Neural Networks, 20(1):61–80, 2009.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields The graph neural network model.IEEE Transactions on Neural Networks, 20(1):61–80, 2009

Reference 11

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Observation 05f36c9c-b08d-47fc-b032-ed0bf1f2b61d · outbound

This paper cites Hauck, and Bao Wang.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Hauck, and Bao Wang

Reference 12

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Observation 997e3838-708a-40ca-b530-957ff587ccc2 · outbound

This paper cites Stabilizing Equilibrium Models by Jacobian Regularization.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Stabilizing Equilibrium Models by Jacobian Regularization

Reference 13

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Observation 99e12eb8-6e73-416e-b770-62b9c8770db2 · outbound

This paper cites Zico Kolter.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Zico Kolter

Reference 14

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Observation 3236d4c6-e1d8-4049-9f49-9bb2dd4c61fc · outbound

This paper cites Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, and Pierre Vandergheynst.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, and Pierre Vandergheynst

Reference 15

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Observation 8959451c-473d-4484-b698-9df2c9f2386e · outbound

This paper cites Kipf and Max Welling.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Kipf and Max Welling

Reference 16

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Observation bda87c7d-65b5-4b9c-8cc6-b88e0b304b9f · outbound

This paper cites Graph attention networks.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Graph attention networks

Reference 17

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Observation 5989045b-b199-499b-bb69-b39eed604779 · outbound

This paper cites On the bottleneck of graph neural networks and its practical implications.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields On the bottleneck of graph neural networks and its practical implications

Reference 18

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Observation 63fef9d6-19c6-4c08-bf72-4eb0c93427a9 · outbound

This paper cites Botvinick, Andrew Zisserman, Oriol Vinyals, and João Carreira.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Botvinick, Andrew Zisserman, Oriol Vinyals, and João Carreira

Reference 19

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Observation d243f89e-4d3c-4b5f-a951-f540b973287f · outbound

This paper cites Graph Perceiver IO: A General Architecture for Graph Structured Data.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Graph Perceiver IO: A General Architecture for Graph Structured Data

Reference 20

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Observation d39d7b17-c2e4-4a7b-baab-99aafd88ea27 · outbound

This paper cites Wilson and Jack D.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Wilson and Jack D

Reference 21

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Observation ddfbfd65-f7c6-4632-98f3-ee5eecbae434 · outbound

This paper cites Dynamics of pattern formation in lateral-inhibition type neural fields.Bio- logical Cybernetics, 27(2):77–87, 1977.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Dynamics of pattern formation in lateral-inhibition type neural fields.Bio- logical Cybernetics, 27(2):77–87, 1977

Reference 22

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Observation ff304112-661b-4253-99cd-da13a85e4985 · outbound

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SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Unresolved cited work

Reference 23

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Observation 09b44ce3-7f63-4109-b5e7-ed8f3ac3df94 · outbound

This paper cites Ben-Yishai, R.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Ben-Yishai, R

Reference 24

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Observation 61d411cc-546c-4516-8988-28c4219efb28 · outbound

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SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Unresolved cited work

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Observation a132a16a-0e4b-4a07-862a-70e38a0930a3 · outbound

This paper cites Gilbert and Wu Li.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Gilbert and Wu Li

Reference 26

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Observation da9072e3-e12f-4bb2-a3eb-32749e5f5926 · outbound

This paper cites Irwin, Teague Sterling, Michael M.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Irwin, Teague Sterling, Michael M

Reference 27

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Observation 62dec45f-bc26-4ad4-9157-b5acb6ddb1eb · outbound

This paper cites Joshi, Thomas Laurent, Yoshua Bengio, Xavier Bresson, and Anh Tuan Luu.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Joshi, Thomas Laurent, Yoshua Bengio, Xavier Bresson, and Anh Tuan Luu

Reference 28

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Observation c9356931-d127-42e8-8bd7-aa2b8e9efd9a · outbound

This paper cites Collective classification in network data.AI Magazine, 29(3):93–106, 2008.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Collective classification in network data.AI Magazine, 29(3):93–106, 2008

Reference 29

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Observation 37582054-017c-4fe3-835f-b4036f63374c · outbound

This paper cites Cohen, and Ruslan Salakhutdinov.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Cohen, and Ruslan Salakhutdinov

Reference 30

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Observation 268be732-0e76-4bd2-aa9a-1ea8865778f1 · outbound

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SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Unresolved cited work

Reference 31

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Observation 8268f89d-020a-4505-b1d9-2b7b6cd74646 · outbound

This paper cites Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 1998.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 1998

Reference 32

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Observation 90eb1d70-597c-4147-bcc4-769ad528faec · outbound

This paper cites Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.Fundamenta Mathematicae, 3:133–181, 1922.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.Fundamenta Mathematicae, 3:133–181, 1922

Reference 33

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Observation 9ca645b3-5391-40a6-902b-ed611347a6af · outbound

This paper cites Learning multiple layers of features from tiny images.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Learning multiple layers of features from tiny images

Reference 34

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Observation 5e69c2be-f993-45db-93eb-a0c1c6d813cb · outbound

This paper cites Layer Normalization.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Layer Normalization

Reference 35

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Observation 8ef7cfb4-a8a8-43fd-abf4-0a650d76ff02 · outbound

This paper cites A clockwork rnn.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields A clockwork rnn

Reference 36

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Observation ae03e4e1-3751-4ddc-a6ea-14221b08b426 · outbound

This paper cites Hierarchical recurrent neural networks for long-term depen- dencies.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Hierarchical recurrent neural networks for long-term depen- dencies

Reference 37

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Observation 506b46ee-2625-45df-963f-5e8fe6c1598e · outbound

This paper cites Anderson.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Anderson

Reference 38

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Observation 3da378dd-fbe1-4b38-a64a-d0cf70182b1e · outbound

This paper cites Walker and Peng Ni.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Walker and Peng Ni

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Observation e3904fe0-682a-4f56-bdea-545e6d5062f8 · outbound

This paper cites Batch normalization: Accelerating deep network training by reducing internal covariate shift.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Batch normalization: Accelerating deep network training by reducing internal covariate shift

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Observation fa7735c1-1c8d-4646-b7f4-81182dcf87dd · outbound

This paper cites Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Dropout: A simple way to prevent neural networks from overfitting.Journal of Machine Learning Research, 15(56):1929–1958, 2014

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Observation 7532c26c-01b0-46dd-8d55-9ef61a7a1f27 · outbound

This paper cites Sarma, Michael M.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Sarma, Michael M

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Observation 25ccd1a5-0918-46d8-af33-668dd391efd7 · outbound

This paper cites On the difficulty of training recurrent neural networks.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields On the difficulty of training recurrent neural networks

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Observation c7079b85-51fa-46a6-90e8-942aba4371af · outbound

This paper cites Lyapunov-stable deep equi- librium models.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Lyapunov-stable deep equi- librium models

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Observation 6c1f5f4d-51c8-4060-a91e-6a1e265c0583 · outbound

This paper cites Real-time computation at the edge of chaos in recurrent neural networks.Neural Computation, 16(7):1413–1436, 2004.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Real-time computation at the edge of chaos in recurrent neural networks.Neural Computation, 16(7):1413–1436, 2004

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source=pdf_text observed=2026-08-03T15:56:12.624800Z digest=sha256:e84d482d2a22ef4f7febd2647155c5ef7c30c94d82c85be9867f9bb9897f3dbb

Observation 9b8ffb46-b4a1-4793-9c1e-05d4f7f1e9b6 · outbound

This paper cites Ex- ponential expressivity in deep neural networks through transient chaos.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Ex- ponential expressivity in deep neural networks through transient chaos

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source=pdf_text observed=2026-08-03T15:56:12.666204Z digest=sha256:43002c7207150e545dbdf6af39b53e59c91127afbcd5a01535304b9ec2e87b4b

Observation 6818e4b0-dd64-4d7f-bb63-3b361e65516e · outbound

This paper cites Kingma and Jimmy Ba.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Kingma and Jimmy Ba

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source=pdf_text observed=2026-08-03T15:56:12.676491Z digest=sha256:32626b3ec13f340714bc9542ffdb95f8cac0650efde5ee2c86076e16fcc2cda8

Observation 5dc4a44b-d38f-48aa-9169-98622a6e7271 · outbound

This paper cites Spectral normaliza- tion for generative adversarial networks.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Spectral normaliza- tion for generative adversarial networks

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source=pdf_text observed=2026-08-03T15:56:12.715174Z digest=sha256:205299b30c3a0393757ac5b148f71a07880d70abc93d37e2d9ad1bbc85dfa32c

Observation 52bfa927-0dbe-44b1-9710-bcadf6cd8edd · outbound

This paper cites Stable architectures for deep neural networks.Inverse Prob- lems, 34(1), 2017.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Stable architectures for deep neural networks.Inverse Prob- lems, 34(1), 2017

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source=pdf_text observed=2026-08-03T15:56:12.758803Z digest=sha256:fc9015938795bc3a84493db4d31b685f4aaa4b8c835665d35b40bc409f9d8517

Observation 0a5aaaa5-9b0a-4d89-9759-3af2564e212d · outbound

This paper cites Jolliffe.Principal Component Analysis.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Jolliffe.Principal Component Analysis

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source=pdf_text observed=2026-08-03T15:56:12.789864Z digest=sha256:3e59f1b0d70faa038079ec32c23d81f681afb1f31e684bfcf002b6f21a766f13

Observation fc847610-f456-4b95-af48-cf7758672bd5 · outbound

This paper cites Visualizing data using t-SNE.Journal of Machine Learning Research, 9(86):2579–2605, 2008.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Visualizing data using t-SNE.Journal of Machine Learning Research, 9(86):2579–2605, 2008

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Observation cf3ee261-6fb1-4284-b1de-6cec3e141520 · outbound

This paper cites Rousseeuw.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Rousseeuw

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Observation 6f455a9e-dca9-45be-a1d0-1d96630985d0 · outbound

This paper cites Davies and Donald W.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Davies and Donald W

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source=pdf_text observed=2026-08-03T15:56:12.883049Z digest=sha256:2f7a66c5cdb56ec8574729ded535a70eef1c6415af64af1322d71d28ef34c0ac

Observation 17e8ce2a-03ae-4e56-a1c4-7809a2817d96 · outbound

This paper cites How powerful are graph neural networks? InInternational Conference on Learning Representations (ICLR), 2019.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields How powerful are graph neural networks? InInternational Conference on Learning Representations (ICLR), 2019

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source=pdf_text observed=2026-08-03T15:56:12.899790Z digest=sha256:07226750c35397ba125a39252cf4f95e41487f8395f7fe4ae9fe1d3a2344e4de

Observation 0d2460b7-869f-4042-a94d-79ea9baf169a · outbound

This paper cites Principal neighbourhood aggregation for graph nets.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Principal neighbourhood aggregation for graph nets

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source=pdf_text observed=2026-08-03T15:56:12.935466Z digest=sha256:cd490a98abc84dcb2fd87fe9c61d3673738289c0e787eded1335712f9ae1df16

Observation ec74cf3f-dd88-45c9-af58-a8ea1a05dcf7 · outbound

This paper cites Residual Gated Graph ConvNets.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Residual Gated Graph ConvNets

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source=pdf_text observed=2026-08-03T15:56:12.953752Z digest=sha256:78f9eefe410425ddc0ef16ef6cdd1060682c199d34512ac82bc1260401fa11f8

Observation 637c0ebf-08c3-472e-9c50-7f5ca9503388 · outbound

This paper cites Deeper insights into graph convolutional networks for semi-supervised learning.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Deeper insights into graph convolutional networks for semi-supervised learning

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source=pdf_text observed=2026-08-03T15:56:13.012389Z digest=sha256:f78c48522868281f8631b992b91bad79b9d908f4d3b190a4815224588e50a265

Observation 9578af0a-714d-49de-b192-95a9b9958a59 · outbound

This paper cites Reversible deep equilibrium models.arXiv preprint arXiv:2509.12917, 2025.

SILVA Networks as Structured Implicit Layers and Vector Attractors via Dynamic Interaction Fields Reversible deep equilibrium models.arXiv preprint arXiv:2509.12917, 2025

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