mlsanityData to 14 Oct 2026

Mamba with Hierarchical Memory: Solving Representation Bottleneck in Long Sequence Modeling

arXiv 2608.02347 ↗First posted 3 Aug 2026cs.AIcited by 1

On the map: State-space sequence models (S4, Mamba) → Core SSM architectures for language

Abstract (arXiv)

Recurrent linear attention models (RLAs) such as Mamba offer efficient linear-time sequence modeling as an alternative to Transformers, yet their fixed-capacity recurrent states limit long-sequence modeling. Drawing inspiration from hierarchical human memory, we propose Hierarchical Memory Mamba (HMM) to address this limitation. Building upon a pre-trained Mamba backbone, HMM integrates a lightweight working memory that extracts slow paragraph-level semantics (PLS) from the fast sensory memory embedded in the backbone's hidden states. The PLS is subsequently compressed into persistent long-term memory for task-relevant retrieval. The hierarchical processing of semantic information overcomes the representation bottleneck of RLAs and endows HMM cross-task generalization through parametric learning, which is not observed in other long-context enhanced Mamba variants. Evaluations on Passkey Retrieval and LongBench-E tasks demonstrate that HMM improves retrieval success by 34.3--37.1% and reasoning accuracy by 1.6--14.2% over strong Mamba-based models, while adding only 2% extra parameters and with minimal training overhead.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Core SSM architectures for language, one of 10 directions in State-space sequence models (S4, Mamba). Builds on 24 of its 33 references that are in the map. First posted on arXiv 3 Aug 2026.

Builds on

24 of 33 references.

Closest ancestors · 5

Same direction, newest first

  1. 2025LongMamba: Enhancing Mamba's Long Context Capabilities via Training-Free Receptive Field Enlargement22 Apr
  2. 2024Understanding and Mitigating Bottlenecks of State Space Models through the Lens of Recency and Over-smoothing31 Dec
  3. 2024DeciMamba: Exploring the Length Extrapolation Potential of Mamba20 Jun
  4. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spaces1 Dec
  5. 2021Efficiently Modeling Long Sequences with Structured State Spaces31 Oct

Other references · 19

  1. 2017Attention Is All You Needcited by 60,361
  2. 2020Retrieval-Augmented Generation for Knowledge-Intensive NLP Taskscited by 9,297
  3. 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,673
  4. 2023Lost in the Middle: How Language Models Use Long Contextscited by 3,455
  5. 2020The Pile: An 800GB Dataset of Diverse Text for Language Modelingcited by 2,411
  6. 2020Transformers are RNNs: Fast Autoregressive Transformers with Linear Attentioncited by 2,022
  7. 2019Transformer-XL: Attentive Language Models Beyond a Fixed-Length Contextcited by 1,850
  8. 2020Big Bird: Transformers for Longer Sequencescited by 1,684
  9. 2021Improving language models by retrieving from trillions of tokenscited by 1,293
  10. 2023RWKV: Reinventing RNNs for the Transformer Eracited by 827
  11. 2019Compressive Transformers for Long-Range Sequence Modellingcited by 726
  12. 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 532
7 more
  1. 2021Linear Transformers Are Secretly Fast Weight Programmerscited by 502
  2. 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 424
  3. 2023Resurrecting Recurrent Neural Networks for Long Sequencescited by 408
  4. 2024Parallelizing Linear Transformers with the Delta Rule over Sequence Lengthcited by 396
  5. 2024LongRoPE: Extending LLM Context Window Beyond 2 Million Tokenscited by 313
  6. 2024Repeat After Me: Transformers are Better than State Space Models at Copyingcited by 216
  7. 2024RNNs are not Transformers (Yet): The Key Bottleneck on In-context Retrievalcited by 64

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

Close in wording, no citation either way

  1. 2025MemMamba: Rethinking Memory Patterns in State Space Model
  2. 2026DART: Decoded Attention over Recurrent States for Efficient Long-Context Sequence Modeling
  3. 2024Revealing and Mitigating the Local Pattern Shortcuts of Mamba
  4. 2024ReMamba: Equip Mamba with Effective Long-Sequence Modeling
  5. 2026On the Recall Scaling Laws in Mamba: A Theoretical and Mechanistic Study via Hashing
  6. 2026Beyond State Capacity: Why Retrieval Breaks in Mamba
  7. 2025Understanding Input Selectivity in Mamba: Impact on Approximation Power, Memorization, and Associative Recall Capacity
  8. 2024Stuffed Mamba: Oversized States Lead to the Inability to Forget