DeciMamba: Exploring the Length Extrapolation Potential of Mamba
On the map: State-space sequence models (S4, Mamba) → Core SSM architectures for language
Abstract (arXiv)
Long-range sequence processing poses a significant challenge for Transformers due to their quadratic complexity in input length. A promising alternative is Mamba, which demonstrates high performance and achieves Transformer-level capabilities while requiring substantially fewer computational resources. In this paper we explore the length-generalization capabilities of Mamba, which we find to be relatively limited. Through a series of visualizations and analyses we identify that the limitations arise from a restricted effective receptive field, dictated by the sequence length used during training. To address this constraint, we introduce DeciMamba, a context-extension method specifically designed for Mamba. This mechanism, built on top of a hidden filtering mechanism embedded within the S6 layer, enables the trained model to extrapolate well even without additional training. Empirical experiments over real-world long-range NLP tasks show that DeciMamba can extrapolate to context lengths that are significantly longer than the ones seen during training, while enjoying faster inference.
Key facts. Cited by 45 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 59 of its 65 references that are in the map. First posted on arXiv 20 Jun 2024.
Builds on
59 of 65 references.
Closest ancestors · 9
Same direction, newest first
- 2024MambaLRP: Explaining Selective State Space Sequence Models11 Jun
- 2024Jamba: A Hybrid Transformer-Mamba Language Model28 Mar
- 2024The Hidden Attention of Mamba Models3 Mar
- 2024MambaByte: Token-free Selective State Space Model24 Jan
- 2024MoE-Mamba: Efficient Selective State Space Models with Mixture of Experts8 Jan
- 2023Gated Linear Attention Transformers with Hardware-Efficient Training11 Dec
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spaces1 Dec
- 2022Diagonal State Spaces are as Effective as Structured State Spaces27 Mar
- 2021Efficiently Modeling Long Sequences with Structured State Spaces31 Oct
Other references · 50
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- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,581
- 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,611
- 2023Lost in the Middle: How Language Models Use Long Contextscited by 3,383
- 2016Pointer Sentinel Mixture Modelscited by 2,992
- 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,551
- 2020The Pile: An 800GB Dataset of Diverse Text for Language Modelingcited by 2,346
- 2023Pythia: A Suite for Analyzing Large Language Models Across Training and Scalingcited by 1,734
- 2020Rethinking Attention with Performerscited by 1,584
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- 2018Know What You Don't Know: Unanswerable Questions for SQuADcited by 1,538
- 2020Linformer: Self-Attention with Linear Complexitycited by 1,462
- 2021Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolationcited by 1,085
- 2024Vision Mamba: Efficient Visual Representation Learning with Bidirectional State Space Modelcited by 1,051
- 2024VMamba: Visual State Space Modelcited by 955
- 2023RWKV: Reinventing RNNs for the Transformer Eracited by 814
- 2020Efficient Transformers: A Surveycited by 784
- 2023Extending Context Window of Large Language Models via Positional Interpolationcited by 721
- 2021Do Vision Transformers See Like Convolutional Neural Networks?cited by 671
- 2021Combining Recurrent, Convolutional, and Continuous-time Models with Linear State-Space Layerscited by 607
- 2023YaRN: Efficient Context Window Extension of Large Language Modelscited by 584
- 2023Ring Attention with Blockwise Transformers for Near-Infinite Contextcited by 448
- 2023LongLLMLingua: Accelerating and Enhancing LLMs in Long Context Scenarios via Prompt Compressioncited by 443
- 2023Hyena Hierarchy: Towards Larger Convolutional Language Modelscited by 388
- 2023Learning to Compress Prompts with Gist Tokenscited by 379
- 2023Adapting Language Models to Compress Contextscited by 350
- 2024xLSTM: Extended Long Short-Term Memorycited by 320
- 2023The Impact of Positional Encoding on Length Generalization in Transformerscited by 319
- 2024Long-context LLMs Struggle with Long In-context Learningcited by 285
- 2023LLMLingua: Compressing Prompts for Accelerated Inference of Large Language Modelscited by 279
- 2022Long Range Language Modeling via Gated State Spacescited by 265
- 2023LongLoRA: Efficient Fine-tuning of Long-Context Large Language Modelscited by 243
- 2019Analyzing the Structure of Attention in a Transformer Language Modelcited by 241
- 2024Griffin: Mixing Gated Linear Recurrences with Local Attention for Efficient Language Modelscited by 232
- 2024BABILong: Testing the Limits of LLMs with Long Context Reasoning-in-a-Haystackcited by 211
- 2023Landmark Attention: Random-Access Infinite Context Length for Transformerscited by 206
- 2023CacheGen: KV Cache Compression and Streaming for Fast Large Language Model Servingcited by 199
- 2023In-context Autoencoder for Context Compression in a Large Language Modelcited by 190
- 2023Compressing Context to Enhance Inference Efficiency of Large Language Modelscited by 185
- 2022A Length-Extrapolatable Transformercited by 123
- 2024Caduceus: Bi-Directional Equivariant Long-Range DNA Sequence Modelingcited by 108
- 2023Hierarchically Gated Recurrent Neural Network for Sequence Modelingcited by 100
- 2022Prompt Compression and Contrastive Conditioning for Controllability and Toxicity Reduction in Language Modelscited by 96
- 2021A Practical Survey on Faster and Lighter Transformerscited by 73
- 2024Contextual Position Encoding: Learning to Count What's Importantcited by 53
- 2023Extending Context Window of Large Language Models via Semantic Compressioncited by 45
- 2022Dissecting Transformer Length Extrapolation via the Lens of Receptive Field Analysiscited by 39
- 2024SSAMBA: Self-Supervised Audio Representation Learning with Mamba State Space Modelcited by 36
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Citing papers per year: 2024: 7; 2025: 23; 2026: 15.
45 papers.
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- 2024Teaching VLMs to Localize Specific Objects from In-context Examples20 Nov 2024
- 2024Revealing and Mitigating the Local Pattern Shortcuts of Mamba21 Oct 2024
- 2024Provable Benefits of Complex Parameterizations for Structured State Space Models17 Oct 2024
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- 2024Stuffed Mamba: Oversized States Lead to the Inability to Forgetcited by 7
- 2025Overflow Prevention Enhances Long-Context Recurrent LLMscited by 5
- 2025Mamba Knockout for Unraveling Factual Information Flowcited by 4
- 2025Understanding and Enhancing Mamba-Transformer Hybrids for Memory Recall and Language Modelingcited by 4
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- 2026Mamba with Hierarchical Memory: Solving Representation Bottleneck in Long Sequence Modeling3 Aug 2026
- 2026Optimal Decay Spectra for Linear Recurrences8 Apr 2026
- 2026Safety, Security, and Cognitive Risks in State-Space Models: A Systematic Threat Analysis with Spectral, Stateful, and Capacity Attacks4 Apr 2026
- 2026Probing Length Generalization in Mamba via Image Reconstruction12 Mar 2026
- 2026MixerCSeg: An Efficient Mixer Architecture for Crack Segmentation via Decoupled Mamba Attention2 Mar 2026
- 2026CLIMP: Contrastive Language-Image Mamba Pretraining11 Jan 2026
- 2025Understanding and Enhancing Mamba-Transformer Hybrids for Memory Recall and Language Modeling30 Oct 2025
- 2025Hybrid Architectures for Language Models: Systematic Analysis and Design Insights6 Oct 2025
- 2025MemMamba: Rethinking Memory Patterns in State Space Model28 Sep 2025
- 2025Mamba Modulation: On the Length Generalization of Mamba23 Sep 2025
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- 2024Hymba: A Hybrid-head Architecture for Small Language Modelscited by 95
- 2025GENERator: A Long-Context Generative Genomic Foundation Modelcited by 20
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- 2025Comba: Improving Bilinear RNNs with Closed-loop Controlcited by 12
- 2025Multiscale Byte Language Models -- A Hierarchical Architecture for Causal Million-Length Sequence Modelingcited by 7
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- 2025To Infinity and Beyond: Tool-Use Unlocks Length Generalization in State Space Modelscited by 3
- 2025MS-SSM: A Multi-Scale State Space Model for Efficient Sequence Modelingcited by 2
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- 2026SpectralShift: Effective Context Window Extension of Gated DeltaNet via Spectral Reparameterization13 Sep 2026
- 2026SANE: State Anomaly Neutralization for Stable Extreme-Context Delta-Rule Models23 Aug 2026
- 2026Graph Signal Processing Meets Mamba2: Adaptive Filter Bank via Delta Modulation20 Mar 2026
- 2025MS-SSM: A Multi-Scale State Space Model for Efficient Sequence Modeling29 Dec 2025
- 2025MambaMIL+: Modeling Long-Term Contextual Patterns for Gigapixel Whole Slide Image19 Dec 2025
- 2025To Infinity and Beyond: Tool-Use Unlocks Length Generalization in State Space Models16 Oct 2025
- 2025TTT3R: 3D Reconstruction as Test-Time Training30 Sep 2025
- 2025Understanding and Improving Length Generalization in Recurrent Models3 Jul 2025
- 2025On-the-Fly Adaptive Distillation of Transformer to Dual-State Linear Attention11 Jun 2025
- 2025Comba: Improving Bilinear RNNs with Closed-loop Control3 Jun 2025
- 2025Multiscale Byte Language Models -- A Hierarchical Architecture for Causal Million-Length Sequence Modeling20 Feb 2025
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