mlsanityData to 7 Oct 2026

Hyper-Graph-Network Decoders for Block Codes

arXiv 1909.09036 ↗First posted 5 Sep 2019cs.IT cs.LG math.ITcited by 42

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Abstract (arXiv)

Neural decoders were shown to outperform classical message passing techniques for short BCH codes. In this work, we extend these results to much larger families of algebraic block codes, by performing message passing with graph neural networks. The parameters of the sub-network at each variable-node in the Tanner graph are obtained from a hypernetwork that receives the absolute values of the current message as input. To add stability, we employ a simplified version of the arctanh activation that is based on a high order Taylor approximation of this activation function. Our results show that for a large number of algebraic block codes, from diverse families of codes (BCH, LDPC, Polar), the decoding obtained with our method outperforms the vanilla belief propagation method as well as other learning techniques from the literature.

Key facts. Cited by 42 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Sep 2019.

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Citing papers per year: 2021: 9; 2022: 7; 2023: 6; 2024: 11; 2025: 4; 2026: 5.

42 papers.

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  1. 2021Personalized Federated Learning using Hypernetworkscited by 210
  2. 2022Error Correction Code Transformercited by 47
  3. 2022Denoising Diffusion Error Correction Codescited by 23
  4. 2024CrossMPT: Cross-attention Message-Passing Transformer for Error Correcting Codescited by 20
  5. 2021KO codes: Inventing Nonlinear Encoding and Decoding for Reliable Wireless Communication via Deep-learningcited by 16
  6. 2022Example-based Hypernetworks for Out-of-Distribution Generalizationcited by 16
  7. 2021Autoregressive Belief Propagation for Decoding Block Codescited by 15
  8. 2021Cyclically Equivariant Neural Decoders for Cyclic Codescited by 12
  9. 2023Domain Generalization in Machine Learning Models for Wireless Communications: Concepts, State-of-the-Art, and Open Issuescited by 12
  10. 2023Deep Quantum Error Correctioncited by 10
  11. 2023HyperBandit: Contextual Bandit with Hypernewtork for Time-Varying User Preferences in Streaming Recommendationcited by 10
  12. 2023Boosting Learning for LDPC Codes to Improve the Error-Floor Performancecited by 10
30 more
  1. 2024Learning Linear Block Error Correction Codescited by 8
  2. 2022CRISP: Curriculum based Sequential Neural Decoders for Polar Code Familycited by 5
  3. 2023How to Mask in Error Correction Code Transformer: Systematic and Double Maskingcited by 5
  4. 2022Neural Decoding with Optimization of Node Activationscited by 4
  5. 2022Time Series Forecasting with Hypernetworks Generating Parameters in Advancecited by 4
  6. 2023Generalization Bounds for Neural Belief Propagation Decoderscited by 4
  7. 2024Boosted Neural Decoders: Achieving Extreme Reliability of LDPC Codes for 6G Networkscited by 3
  8. 2024Accelerating Error Correction Code Transformerscited by 3
  9. 2021Adaptive Filters in Graph Convolutional Neural Networkscited by 2
  10. 2021Doubly Residual Neural Decoder: Towards Low-Complexity High-Performance Channel Decodingcited by 1
  11. 2021Improving the List Decoding Version of the Cyclically Equivariant Neural Decodercited by 1
  12. 2021RELDEC: Reinforcement Learning-Based Decoding of Moderate Length LDPC Codescited by 1
  13. 2024Deep Learning-Based Detection for Marker Codes over Insertion and Deletion Channelscited by 1
  14. 2024DeepPolar: Inventing Nonlinear Large-Kernel Polar Codes via Deep Learningcited by 1
  15. 2024Factor Graph Optimization of Error-Correcting Codes for Belief Propagation Decodingcited by 1
  16. 2024Unified Error Correction Code Transformer with Low Complexitycited by 1
  17. 2025Cross-Attention Message-Passing Transformers for Code-Agnostic Decoding in 6G Networkscited by 1
  18. 2025Transformer-Based Decoding in Concatenated Coding Schemes Under Synchronization Errorscited by 1
  19. 2025Syndrome-Flow Consistency Model Achieves One-step Denoising Error Correction Codescited by 1
  20. 2026Enhancing Bandit Algorithms with LLMs for Time-varying User Preferences in Streaming Recommendationscited by 1
  21. 2021Recovering AES Keys with a Deep Cold Boot Attackcited by 0
  22. 2022A Scalable Graph Neural Network Decoder for Short Block Codescited by 0
  23. 2024Disturbance-based Discretization, Differentiable IDS Channel, and an IDS-Correcting Code for DNA-based Storagecited by 0
  24. 2024Online Optimization for Learning to Communicate over Time-Correlated Channelscited by 0
  25. 2024Neural Window Decoder for SC-LDPC Codescited by 0
  26. 2025VT-Former: Efffcient Transformer-based Decoder for Varshamov-Tenengolts Codescited by 0
  27. 2026Trapped by simplicity: When Transformers fail to learn from noisy featurescited by 0
  28. 2026Variational Diffusion Channel Decodercited by 0
  29. 2026Score Based Error Correcting Code Decodercited by 0
  30. 2026MaskCode: Mask Transformer for Feedback-Assisted Coding With Linear Block Codescited by 0