mlsanityData to 7 Oct 2026

Gauge-Equivariant Graph Networks via Self-Interference Cancellation

arXiv 2511.16062 ↗First posted 20 Nov 2025cs.LGcited by 1

Not on the map. Why?

Abstract (arXiv)

Graph Neural Networks (GNNs) excel on homophilous graphs but often fail under heterophily due to self-reinforcing and phase-inconsistent signals. We propose a Gauge-Equivariant Graph Network with Self-Interference Cancellation (GESC), which replaces additive aggregation with a projection-based interference mechanism. Unlike prior magnetic or gauge-equivariant GNNs that rely on additive message mixing, GESC explicitly models self-interference arising from redundant low-frequency components. We show that the absence of interference handling in existing gauge-based GNNs is a primary driver of oversmoothing under gauge transport. We introduce a U(1) phase connection followed by a rank-1 projection that suppresses self-parallel components before attention, and a sign-aware gate that regulates negatively aligned neighbors. Across diverse graph benchmarks, GESC consistently outperforms recent state-of-the-art models while offering a unified, interference-aware view of message passing. Our code is available at https://github.com/ChoiYoonHyuk/GESC.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 56 of its 70 references that are in the map. First posted on arXiv 20 Nov 2025.

Builds on

56 of 70 references.

References · 56

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  2. 2017Graph Attention Networkscited by 8,854
  3. 2017Inductive Representation Learning on Large Graphscited by 6,284
  4. 2018How Powerful are Graph Neural Networks?cited by 4,355
  5. 2017Neural Message Passing for Quantum Chemistrycited by 3,460
  6. 2019A Comprehensive Survey on Graph Neural Networkscited by 2,906
  7. 2016Convolutional Neural Networks on Graphs with Fast Localized Spectral Filteringcited by 2,085
  8. 2019Simplifying Graph Convolutional Networkscited by 1,470
  9. 2016Variational Graph Auto-Encoderscited by 1,373
  10. 2016Group Equivariant Convolutional Networkscited by 1,154
  11. 2021Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gaugescited by 1,131
  12. 2018Deeper Insights into Graph Convolutional Networks for Semi-Supervised Learningcited by 1,099
38 more
  1. 2018Predict then Propagate: Graph Neural Networks meet Personalized PageRankcited by 987
  2. 2016Complex Embeddings for Simple Link Predictioncited by 897
  3. 2019RotatE: Knowledge Graph Embedding by Relational Rotation in Complex Spacecited by 893
  4. 2018Representation Learning on Graphs with Jumping Knowledge Networkscited by 875
  5. 2020Simple and Deep Graph Convolutional Networkscited by 857
  6. 2020Geom-GCN: Geometric Graph Convolutional Networkscited by 821
  7. 2022Recipe for a General, Powerful, Scalable Graph Transformercited by 702
  8. 2019DropEdge: Towards Deep Graph Convolutional Networks on Node Classificationcited by 679
  9. 2020On the Bottleneck of Graph Neural Networks and its Practical Implicationscited by 624
  10. 2020Adaptive Universal Generalized PageRank Graph Neural Networkcited by 592
  11. 2019MixHop: Higher-Order Graph Convolutional Architectures via Sparsified Neighborhood Mixingcited by 442
  12. 2019Diffusion Improves Graph Learningcited by 414
  13. 2021Beyond Low-frequency Information in Graph Convolutional Networkscited by 361
  14. 2021Large Scale Learning on Non-Homophilous Graphs: New Benchmarks and Strong Simple Methodscited by 309
  15. 2020SIGN: Scalable Inception Graph Neural Networkscited by 283
  16. 2019Gauge Equivariant Convolutional Networks and the Icosahedral CNNcited by 262
  17. 2021Geometric and Physical Quantities Improve E(3) Equivariant Message Passingcited by 225
  18. 2022Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNscited by 208
  19. 2017CayleyNets: Graph Convolutional Neural Networks with Complex Rational Spectral Filterscited by 203
  20. 2021BernNet: Learning Arbitrary Graph Spectral Filters via Bernstein Approximationcited by 195
  21. 2021Two Sides of the Same Coin: Heterophily and Oversmoothing in Graph Convolutional Neural Networkscited by 182
  22. 2022Finding Global Homophily in Graph Neural Networks When Meeting Heterophilycited by 179
  23. 2022Sign and Basis Invariant Networks for Spectral Graph Representation Learningcited by 176
  24. 2022Graph Neural Networks for Graphs with Heterophily: A Surveycited by 175
  25. 2022How Powerful are Spectral Graph Neural Networkscited by 169
  26. 2022Revisiting Heterophily For Graph Neural Networkscited by 169
  27. 2021MagNet: A Neural Network for Directed Graphscited by 104
  28. 2023Understanding Oversquashing in GNNs through the Lens of Effective Resistancecited by 94
  29. 2020Gauge Equivariant Mesh CNNs: Anisotropic convolutions on geometric graphscited by 90
  30. 2023Edge Directionality Improves Learning on Heterophilic Graphscited by 88
  31. 2021GBK-GNN: Gated Bi-Kernel Graph Neural Networks for Modeling Both Homophily and Heterophilycited by 84
  32. 2020Coupled Oscillatory Recurrent Neural Network (coRNN): An accurate and (gradient) stable architecture for learning long time dependenciescited by 81
  33. 2020Sheaf Neural Networkscited by 80
  34. 2019Signed Graph Attention Networkscited by 62
  35. 2018GEMSEC: Graph Embedding with Self Clusteringcited by 61
  36. 2021Dissecting the Diffusion Process in Linear Graph Convolutional Networkscited by 58
  37. 2020Lattice gauge equivariant convolutional neural networkscited by 45
  38. 2021Tree Decomposed Graph Neural Networkcited by 35

50 most cited of 56 All 56 (JSON)

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 1.

1 paper.