Core SSM architectures for language
Key facts. Core SSM architectures for language: 278 papers on arXiv since 2021 (data through 7 Oct 2026). 152 of its 278 mapped papers (55%) cite “Mamba: Linear-Time Sequence Modeling with Selective State Spaces” (2023, arXiv 2312.00752). 114 of its 278 mapped papers (41%) cite “Efficiently Modeling Long Sequences with Structured State Spaces” (2021, arXiv 2111.00396). 8 new papers 18 Sep–7 Oct.
What’s new
18 Sep – 7 Oct 2026
8 new papers, 18 Sep – 7 Oct; 0 this week.
- Earlier · 8
- Distributed Learning with Selective State Space Models: Architecture-Aware Convergence Analysis
- Low-Discrepancy Dither for Quantized Recurrent State Caches
- SketchSSM: Write to the Full State, Read from a Compact Sketch
- Elastic Selective Spectral Hybrids for Train-Once, Export-Many Budgeted Inference
- Residual Streams Read, Recurrent States Remember: The Global Workspace in Mamba Models
- Non-Commutative State Tracking with Input-Dependent Low-Rank Updates in Mamba-3
- Comparing Latent Concept Formation in State Space Models and Transformers via Sparse Autoencoders
- H-Spec: Parallel Speculative Decoding Without a Drafter-Side KV Cache
Foundations
Most cited by papers here
- Mamba: Linear-Time Sequence Modeling with Selective State Spaces2023cited by 152 here
- Efficiently Modeling Long Sequences with Structured State Spaces2021cited by 114 here
- Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality2024cited by 99 here
- Simplified State Space Layers for Sequence Modeling2022cited by 53 here
- Jamba: A Hybrid Transformer-Mamba Language Model2024cited by 40 here
Lineage
The papers this direction builds on, oldest first.
Each paper on the line cites the one before.
- 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 114 here
- 2022Diagonal State Spaces are as Effective as Structured State Spacescited by 33 here
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 152 here
- 2024U-Mamba: Enhancing Long-range Dependency for Biomedical Image Segmentationcited by 11 here
- 2024Vision Mamba: Efficient Visual Representation Learning with Bidirectional State Space Modelcited by 33 here
- 2024Graph-Mamba: Towards Long-Range Graph Sequence Modeling with Selective State Spacescited by 13 here
- 2024The Hidden Attention of Mamba Modelscited by 25 here
- 2024Jamba: A Hybrid Transformer-Mamba Language Modelcited by 40 here
- 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 99 here
- 2024An Empirical Study of Mamba-based Language Modelscited by 30 here
- 2024Falcon Mamba: The First Competitive Attention-free 7B Language Modelcited by 12 here
13 more it builds on, not in this chain
- 2022How to Train Your HiPPO: State Space Models with Generalized Orthogonal Basis Projectionscited by 12 here
- 2022Simplified State Space Layers for Sequence Modelingcited by 53 here
- 2023Gated Linear Attention Transformers with Hardware-Efficient Trainingcited by 23 here
- 2024MoE-Mamba: Efficient Selective State Space Models with Mixture of Expertscited by 14 here
- 2024MambaByte: Token-free Selective State Space Modelcited by 12 here
- 2024BlackMamba: Mixture of Experts for State-Space Modelscited by 11 here
- 2024Can Mamba Learn How to Learn? A Comparative Study on In-Context Learning Taskscited by 22 here
- 2024Mamba-ND: Selective State Space Modeling for Multi-Dimensional Datacited by 10 here
- 2024Theoretical Foundations of Deep Selective State-Space Modelscited by 13 here
- 2024VideoMamba: State Space Model for Efficient Video Understandingcited by 13 here
- 2024Samba: Simple Hybrid State Space Models for Efficient Unlimited Context Language Modelingcited by 16 here
- 2024DeciMamba: Exploring the Length Extrapolation Potential of Mambacited by 14 here
- 2024The Mamba in the Llama: Distilling and Accelerating Hybrid Modelscited by 11 here
The 24 most cited of 258.
Browse
30 of 278, ranked 6–35
- 6Diagonal State Spaces are as Effective as Structured State Spaces202233
- 7An Empirical Study of Mamba-based Language Models202430
- 8The Hidden Attention of Mamba Models202425
- 9Gated Linear Attention Transformers with Hardware-Efficient Training202323
- 10Can Mamba Learn How to Learn? A Comparative Study on In-Context Learning Tasks202422
- 11Samba: Simple Hybrid State Space Models for Efficient Unlimited Context Language Modeling202416
- 12MoE-Mamba: Efficient Selective State Space Models with Mixture of Experts202414
- 13DeciMamba: Exploring the Length Extrapolation Potential of Mamba202414
- 14Theoretical Foundations of Deep Selective State-Space Models202413
- 15MambaByte: Token-free Selective State Space Model202412
All 30
- 16Falcon Mamba: The First Competitive Attention-free 7B Language Model202412
- 17How to Train Your HiPPO: State Space Models with Generalized Orthogonal Basis Projections202212
- 18BlackMamba: Mixture of Experts for State-Space Models202411
- 19The Mamba in the Llama: Distilling and Accelerating Hybrid Models202411
- 20Mamba-ND: Selective State Space Modeling for Multi-Dimensional Data202410
- 21Simple linear attention language models balance the recall-throughput tradeoff202410
- 22Mamba-360: Survey of State Space Models as Transformer Alternative for Long Sequence Modelling: Methods, Applications, and Challenges202410
- 23Is Mamba Capable of In-Context Learning?20249
- 24Transformers to SSMs: Distilling Quadratic Knowledge to Subquadratic Models20249
- 25Structured State Space Models for In-Context Reinforcement Learning20239
- 26Nemotron-H: A Family of Accurate and Efficient Hybrid Mamba-Transformer Models20257
- 27LongMamba: Enhancing Mamba's Long Context Capabilities via Training-Free Receptive Field Enlargement20257
- 28MambaLRP: Explaining Selective State Space Sequence Models20246
- 29Jamba-1.5: Hybrid Transformer-Mamba Models at Scale20246
- 30From Markov to Laplace: How Mamba In-Context Learns Markov Chains20255
- 31Llamba: Scaling Distilled Recurrent Models for Efficient Language Processing20255
- 32MambaTab: A Plug-and-Play Model for Learning Tabular Data20245
- 33Locating and Editing Factual Associations in Mamba20245
- 34Unlocking State-Tracking in Linear RNNs Through Negative Eigenvalues20245
- 35Understanding and Mitigating Bottlenecks of State Space Models through the Lens of Recency and Over-smoothing20245