mlsanityData to 7 Oct 2026

Mamba-3: Improved Sequence Modeling using State Space Principles

arXiv 2603.15569 ↗First posted 16 Mar 2026cs.LGcited by 76

On the map: LLM reasoning → Test-time compute and efficient thinking

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Abstract (arXiv)

Scaling inference-time compute has emerged as an important driver of LLM performance, making inference efficiency a central focus of model design alongside model quality. While the current Transformer-based models deliver strong model quality, their quadratic compute and linear memory make inference expensive. This has spurred the development of sub-quadratic models with reduced linear compute and constant memory requirements. However, many recent linear models trade off model quality and capability for algorithmic efficiency, failing on tasks such as state tracking. Moreover, their theoretically linear inference remains hardware-inefficient in practice. Guided by an inference-first perspective, we introduce three core methodological improvements inspired by the state space model (SSM) viewpoint of linear models. We combine: (1) a more expressive recurrence derived from SSM discretization, (2) a complex-valued state update rule that enables richer state tracking, and (3) a multi-input, multi-output (MIMO) formulation for better model performance without increasing decode latency. Together with architectural refinements, our Mamba-3 model achieves significant gains across retrieval, state-tracking, and downstream language modeling tasks. At the 1.5B scale, Mamba-3 improves average downstream accuracy by 0.6 percentage points compared to the next best model (Gated DeltaNet), with Mamba-3's MIMO variant further improving accuracy by another 1.2 points for a total 1.8 point gain. Across state-size experiments, Mamba-3 achieves comparable perplexity to Mamba-2 despite using half of its predecessor's state size. Our evaluations demonstrate Mamba-3's ability to advance the performance-efficiency Pareto frontier.

Key facts. Cited by 76 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 54 of its 67 references that are in the map. First posted on arXiv 16 Mar 2026.

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54 of 67 references.

Closest ancestors · 3

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  1. 2025Hunyuan-TurboS: Advancing Large Language Models through Mamba-Transformer Synergy and Adaptive Chain-of-Thought21 May
  2. 2025Nemotron-H: A Family of Accurate and Efficient Hybrid Mamba-Transformer Models4 Apr
  3. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters6 Aug

Other references · 51

  1. 2017Attention Is All You Needcited by 59,932
  2. 2024The Llama 3 Herd of Modelscited by 14,192
  3. 2025Qwen3 Technical Reportcited by 8,195
  4. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
  5. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  6. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
  7. 2021RoFormer: Enhanced Transformer with Rotary Position Embeddingcited by 4,581
  8. 2014Neural Machine Translation by Jointly Learning to Align and Translatecited by 4,530
  9. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
  10. 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,895
  11. 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
  12. 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,424
38 more
  1. 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,114
  2. 2020Transformers are RNNs: Fast Autoregressive Transformers with Linear Attentioncited by 1,979
  3. 2018Know What You Don't Know: Unanswerable Questions for SQuADcited by 1,538
  4. 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 1,283
  5. 2024RULER: What's the Real Context Size of Your Long-Context Language Models?cited by 1,270
  6. 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,104
  7. 2016The LAMBADA dataset: Word prediction requiring a broad discourse contextcited by 960
  8. 2019DROP: A Reading Comprehension Benchmark Requiring Discrete Reasoning Over Paragraphscited by 883
  9. 2022Simplified State Space Layers for Sequence Modelingcited by 776
  10. 2023Retentive Network: A Successor to Transformer for Large Language Modelscited by 594
  11. 2022Hungry Hungry Hippos: Towards Language Modeling with State Space Modelscited by 495
  12. 2023Gated Linear Attention Transformers with Hardware-Efficient Trainingcited by 490
  13. 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 483
  14. 2021Linear Transformers Are Secretly Fast Weight Programmerscited by 471
  15. 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 418
  16. 2023Resurrecting Recurrent Neural Networks for Long Sequencescited by 397
  17. 2024Parallelizing Linear Transformers with the Delta Rule over Sequence Lengthcited by 373
  18. 2022Diagonal State Spaces are as Effective as Structured State Spacescited by 350
  19. 2024Learning to (Learn at Test Time): RNNs with Expressive Hidden Statescited by 329
  20. 2020Query-Key Normalization for Transformerscited by 266
  21. 2024Simple linear attention language models balance the recall-throughput tradeoffcited by 197
  22. 2023Small-scale proxies for large-scale Transformer training instabilitiescited by 182
  23. 2024The Illusion of State in State-Space Modelscited by 181
  24. 2024An Empirical Study of Mamba-based Language Modelscited by 177
  25. 2025Kimi Linear: An Expressive, Efficient Attention Architecturecited by 169
  26. 2024Unlocking State-Tracking in Linear RNNs Through Negative Eigenvaluescited by 97
  27. 2025Test-time regression: a unifying framework for designing sequence models with associative memorycited by 63
  28. 2024Just read twice: closing the recall gap for recurrent language modelscited by 55
  29. 2025End-to-End Test-Time Training for Long Contextcited by 53
  30. 2024Megalodon: Efficient LLM Pretraining and Inference with Unlimited Context Lengthcited by 46
  31. 2024LLM Inference Serving: Survey of Recent Advances and Opportunitiescited by 46
  32. 2025Rope to Nope and Back Again: A New Hybrid Attention Strategycited by 46
  33. 2024Is Mamba Capable of In-Context Learning?cited by 45
  34. 2024The Expressive Capacity of State Space Models: A Formal Language Perspectivecited by 45
  35. 2025Physics of Language Models: Part 4.1, Architecture Design and the Magic of Canon Layerscited by 32
  36. 2025Comba: Improving Bilinear RNNs with Closed-loop Controlcited by 12
  37. 2025Short window attention enables long-term memorizationcited by 11
  38. 2025Mechanistic evaluation of Transformers and state space modelscited by 8

50 most cited of 51 All 51 (JSON)

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 76.

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  1. 2026Gated DeltaNet-2: Decoupling Erase and Write in Linear Attentioncited by 24
  2. 2026LoopUS: Recasting Pretrained LLMs into Looped Latent Refinement Modelscited by 13
  3. 2026Rethinking Language Model Scaling under Transferable Hypersphere Optimizationcited by 11
  4. 2026Kairos: A Regret-Aware Native World-Action Model Stack for Physical AIcited by 8
  5. 2026MDN: Parallelizing Stepwise Momentum for Delta Linear Attentioncited by 3
  6. 2026Rethinking State Tracking in Recurrent Models Through Error Control Dynamicscited by 3
  7. 2026S0 Tuning: Zero-Overhead Adaptation of Hybrid Recurrent-Attention Modelscited by 2
  8. 2026Morphing into Hybrid Attention Modelscited by 2
  9. 2026Memory for Large Language Modelscited by 2
  10. 2026Optimal Decay Spectra for Linear Recurrencescited by 1
  11. 2026The Impossibility Triangle of Long-Context Modelingcited by 1
  12. 2026Echo: KV-Cache-Free Associative Recall with Spectral Koopman Operatorscited by 1
38 more
  1. 2026Scratchpad Patching: Decoupling Compute from Patch Size in Byte-Level Language Modelscited by 1
  2. 2026WriteSAE: Sparse Autoencoders for Recurrent Statecited by 1
  3. 2026OSDN: Improving Delta Rule with Provable Online Preconditioning in Linear Attentioncited by 1
  4. 2026Multi-Mixer Models: Flexible Sequence Modeling with Shared Representationscited by 1
  5. 2026CaMBRAIN: Real-time, Continuous EEG Inference with Causal State Space Modelscited by 1
  6. 2026Parallax: Parameterized Local Linear Attention for Language Modelingcited by 1
  7. 2026Chess-World-Model: A 10M-Game Benchmark for Exact State Tracking from Chess Move Sequencescited by 1
  8. 2026Blurry Window Attentioncited by 1
  9. 2026SHiPPO: Recurrent Memory with Transported Polynomial Projectionscited by 1
  10. 2026Vision Non-Causal Trapezoidal Mamba: Eliminating Directional Scanning in Vision SSMs with Second-Order Dynamicscited by 1
  11. 2026DART: Decoded Attention over Recurrent States for Efficient Long-Context Sequence Modelingcited by 1
  12. 2026Kalman Delta Networks: Uncertainty-aware Associative Memorycited by 1
  13. 2026Extending SSMs with the Exponentially Weighted Signaturecited by 0
  14. 2026HamVision: Hamiltonian Dynamics as Inductive Bias for Medical Image Analysiscited by 0
  15. 2026AEGIS: Adversarial Entropy-Guided Immune System -- Thermodynamic State Space Models for Zero-Day Network Evasion Detectioncited by 0
  16. 2026Bilinear Input Modulation for Mamba: Koopman Bilinear Forms for Memory Retention and Multiplicative Computationcited by 0
  17. 2026Beyond ZOH: Advanced Discretization Strategies for Vision Mambacited by 0
  18. 2026LayerBoost: Layer-Aware Attention Reduction for Efficient LLMscited by 0
  19. 2026HubRouter: A Pluggable Sub-Quadratic Routing Primitive for Hybrid Sequence Modelscited by 0
  20. 2026CommFuse: Hiding Tail Latency via Communication Decomposition and Fusion for Distributed LLM Trainingcited by 0
  21. 2026RubiConv -- Efficient Boundary-Respecting Convolutionscited by 0
  22. 2026Continuity Laws for Sequential Modelscited by 0
  23. 2026LBI: Parallel Scan Backpropagation via Latent Bounded Interfacescited by 0
  24. 2026TIDES: Implicit Time-Awareness in Selective State Space Modelscited by 0
  25. 2026Mela: Test-Time Memory Consolidation based on Transformation Hypothesiscited by 0
  26. 2026Can Graphs Help Vision SSMs See Better?cited by 0
  27. 2026SurgicalMamba: Dual-Path SSD with State Regramming for Online Surgical Phase Recognitioncited by 0
  28. 2026Identify then Realize: Contrastive Learning of Latent Port-Hamiltonian Dynamics from Partial Observationscited by 0
  29. 2026Flash PD-SSM: Memory-Optimized Structured Sparse State-Space Modelscited by 0
  30. 2026ACC: Compiling Agent Trajectories for Long-Context Trainingcited by 0
  31. 2026SO-Mamba: State-Ownership Mamba for Unrolled MRI Reconstructioncited by 0
  32. 2026Inference Time Context Sparsity: Illusion or Opportunity?cited by 0
  33. 2026Interdomain Attention: Beyond Token-Level Key-Value Memorycited by 0
  34. 2026Refit the Probe: Single-Direction Ablation Is Not a Necessity Testcited by 0
  35. 2026Forget Attention: Importance-Aware Attention Is All You Needcited by 0
  36. 2026Dynamic Short Convolutions Improve Transformerscited by 0
  37. 2026C-MambaPose: A Physics-Informed Complex Mamba Framework for Cross-Environment WiFi Human Pose Estimationcited by 0
  38. 2026MambaADv2: Evolving Duality-enhanced State Space Model for Unsupervised Anomaly Detectioncited by 0

50 most cited of 76 All 76 (JSON)

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  1. 2025Routing Mamba: Scaling State Space Models with Mixture-of-Experts Projection
  2. 2024Bi-Mamba: Towards Accurate 1-Bit State Space Models
  3. 2025Controllability Analysis of State Space-based Language Model
  4. 2024BlackMamba: Mixture of Experts for State-Space Models
  5. 2026MuonSSM: Orthogonalizing State Space Models for Sequence Modeling
  6. 2024MambaLRP: Explaining Selective State Space Sequence Models
  7. 2025MS-SSM: A Multi-Scale State Space Model for Efficient Sequence Modeling
  8. 2025Advancing Intelligent Sequence Modeling: Evolution, Trade-offs, and Applications of State-Space Architectures from S4 to Mamba