Hybrid Mamba-Transformer Decoder for Error-Correcting Codes
On the map: State-space sequence models (S4, Mamba) → Core SSM architectures for language
Abstract (arXiv)
We introduce a novel deep learning method for decoding error correction codes based on the Mamba architecture, enhanced with Transformer layers. Our approach proposes a hybrid decoder that leverages Mamba's efficient sequential modeling while maintaining the global context capabilities of Transformers. To further improve performance, we design a novel layer-wise masking strategy applied to each Mamba layer, allowing selective attention to relevant code features at different depths. Additionally, we introduce a progressive layer-wise loss, supervising the network at intermediate stages and promoting robust feature extraction throughout the decoding process. Comprehensive experiments across a range of linear codes demonstrate that our method significantly outperforms Transformer-only decoders and standard Mamba models.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Placed in Core SSM architectures for language, one of 10 directions in State-space sequence models (S4, Mamba). Builds on 19 of its 32 references that are in the map. First posted on arXiv 23 May 2025.
Builds on
19 of 32 references.
Closest ancestors · 3
Same direction, newest first
- 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality31 May
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spaces1 Dec
- 2021Efficiently Modeling Long Sequences with Structured State Spaces31 Oct
Other references · 16
- 2017Attention Is All You Needcited by 59,932
- 2016Layer Normalizationcited by 5,579
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
- 2021Combining Recurrent, Convolutional, and Continuous-time Models with Linear State-Space Layerscited by 607
- 2020HiPPO: Recurrent Memory with Optimal Polynomial Projectionscited by 600
- 2017Deep Learning Methods for Improved Decoding of Linear Codescited by 66
- 2016Learning to Decode Linear Codes Using Deep Learningcited by 60
- 2018Communication Algorithms via Deep Learningcited by 42
- 2018Deep Learning for Decoding of Linear Codes - A Syndrome-Based Approachcited by 34
- 2017Neural Offset Min-Sum Decodingcited by 24
- 2024CrossMPT: Cross-attention Message-Passing Transformer for Error Correcting Codescited by 20
- 2021Autoregressive Belief Propagation for Decoding Block Codescited by 15
4 more
- 2023Deep Quantum Error Correctioncited by 10
- 2023Boosting Learning for LDPC Codes to Improve the Error-Floor Performancecited by 10
- 2024Learning Linear Block Error Correction Codescited by 8
- 2023How to Mask in Error Correction Code Transformer: Systematic and Double Maskingcited by 5
Built on by
Citing papers per year: 2025: 1; 2026: 3.
4 papers.
- 2025Toward Uncertainty-Aware and Generalizable Neural Decoding for Quantum LDPC Codescited by 2
- 2026Leveraging Code Automorphisms for Improved Syndrome-Based Neural Decodingcited by 0
- 2026Scalable Mamba-Based Message-Passing Neural Decoder for Error-Correcting Codescited by 0
- 2026Score Based Error Correcting Code Decodercited by 0
- 2026Score Based Error Correcting Code Decoder27 May 2026
- 2026Scalable Mamba-Based Message-Passing Neural Decoder for Error-Correcting Codes11 May 2026
- 2026Leveraging Code Automorphisms for Improved Syndrome-Based Neural Decoding5 May 2026
- 2025Toward Uncertainty-Aware and Generalizable Neural Decoding for Quantum LDPC Codes5 Oct 2025
Similar, not cited
Close in wording, no citation either way
- 2024The Mamba in the Llama: Distilling and Accelerating Hybrid Models
- 2025Scalable Neural Decoders for Practical Real-Time Quantum Error Correction
- 2025DYNAMAX: Dynamic computing for Transformers and Mamba based architectures
- 2024A Survey of Mamba
- 2025TransMamba: A Sequence-Level Hybrid Transformer-Mamba Language Model
- 2025MaTVLM: Hybrid Mamba-Transformer for Efficient Vision-Language Modeling
- 2024MAP: Unleashing Hybrid Mamba-Transformer Vision Backbone's Potential with Masked Autoregressive Pretraining
- 2025Binarized Mamba-Transformer for Lightweight Quad Bayer HybridEVS Demosaicing