Linear-MoE: Linear Sequence Modeling Meets Mixture-of-Experts
On the map: Mixture-of-experts → MoE large language models
Abstract (arXiv)
Linear Sequence Modeling (LSM) like linear attention, state space models and linear RNNs, and Mixture-of-Experts (MoE) have recently emerged as significant architectural improvements. In this paper, we introduce Linear-MoE, a production-level system for modeling and training large-scale models that integrate LSM with MoE. Linear-MoE leverages the advantages of both LSM modules for linear-complexity sequence modeling and MoE layers for sparsely activation, aiming to offer high performance with efficient training. The Linear-MoE system comprises: 1) Modeling subsystem, which provides a unified framework supporting all instances of LSM. and 2) Training subsystem, which facilitates efficient training by incorporating various advanced parallelism technologies, particularly Sequence Parallelism designed for Linear-MoE models. Additionally, we explore hybrid models that combine Linear-MoE layers with standard Transformer-MoE layers with its Sequence Parallelism to further enhance model flexibility and performance. Evaluations on two model series, A0.3B-2B and A1B-7B, demonstrate Linear-MoE achieves efficiency gains while maintaining competitive performance on various benchmarks, showcasing its potential as a next-generation foundational model architecture. Code: https://github.com/OpenSparseLLMs/Linear-MoE.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Placed in MoE large language models, one of 12 directions in Mixture-of-experts. Builds on 64 of its 83 references that are in the map. First posted on arXiv 7 Mar 2025.
Builds on
64 of 83 references.
Closest ancestors · 11
Same direction, newest first
- 2025MiniMax-01: Scaling Foundation Models with Lightning Attention14 Jan
- 2024LLaMA-MoE v2: Exploring Sparsity of LLaMA from Perspective of Mixture-of-Experts with Post-Training24 Nov
- 2024OLMoE: Open Mixture-of-Experts Language Models3 Sep
- 2024LLaMA-MoE: Building Mixture-of-Experts from LLaMA with Continual Pre-training24 Jun
- 2024Dynamic Data Mixing Maximizes Instruction Tuning for Mixture-of-Experts17 Jun
- 2024DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Model7 May
- 2024JetMoE: Reaching Llama2 Performance with 0.1M Dollars11 Apr
- 2024Jamba: A Hybrid Transformer-Mamba Language Model28 Mar
- 2024Mixtral of Experts8 Jan
- 2020GShard: Scaling Giant Models with Conditional Computation and Automatic Sharding30 Jun
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan
Other references · 53
- 2017Attention Is All You Needcited by 59,932
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2024The Llama 3 Herd of Modelscited by 14,192
- 2020Measuring Massive Multitask Language Understandingcited by 7,768
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
- 2024Gemini 1.5: Unlocking multimodal understanding across millions of tokens of contextcited by 3,175
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,014
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
- 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,551
- 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,424
38 more
- 2020Transformers are RNNs: Fast Autoregressive Transformers with Linear Attentioncited by 1,979
- 2023GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpointscited by 1,311
- 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 1,283
- 2023RWKV: Reinventing RNNs for the Transformer Eracited by 814
- 2022Mixture-of-Experts with Expert Choice Routingcited by 611
- 2020HiPPO: Recurrent Memory with Optimal Polynomial Projectionscited by 600
- 2023Retentive Network: A Successor to Transformer for Large Language Modelscited by 594
- 2023Gated Linear Attention Transformers with Hardware-Efficient Trainingcited by 490
- 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 483
- 2021Linear Transformers Are Secretly Fast Weight Programmerscited by 471
- 2023Ring Attention with Blockwise Transformers for Near-Infinite Contextcited by 448
- 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 418
- 2024Parallelizing Linear Transformers with the Delta Rule over Sequence Lengthcited by 373
- 2022Diagonal State Spaces are as Effective as Structured State Spacescited by 350
- 2024Learning to (Learn at Test Time): RNNs with Expressive Hidden Statescited by 329
- 2021BASE Layers: Simplifying Training of Large, Sparse Modelscited by 315
- 2024Titans: Learning to Memorize at Test Timecited by 303
- 2022Reducing Activation Recomputation in Large Transformer Modelscited by 300
- 2021Hash Layers For Large Sparse Modelscited by 236
- 2024Repeat After Me: Transformers are Better than State Space Models at Copyingcited by 208
- 2022MegaBlocks: Efficient Sparse Training with Mixture-of-Expertscited by 204
- 2024Auxiliary-Loss-Free Load Balancing Strategy for Mixture-of-Expertscited by 191
- 2022FP8 Formats for Deep Learningcited by 187
- 2024Samba: Simple Hybrid State Space Models for Efficient Unlimited Context Language Modelingcited by 167
- 2024Eagle and Finch: RWKV with Matrix-Valued States and Dynamic Recurrencecited by 155
- 2024HGRN2: Gated Linear RNNs with State Expansioncited by 122
- 2024Twin-Merging: Dynamic Integration of Modular Expertise in Model Mergingcited by 114
- 2023Hierarchically Gated Recurrent Neural Network for Sequence Modelingcited by 100
- 2024Gated Slot Attention for Efficient Linear-Time Sequence Modelingcited by 73
- 2023Searching for Needles in a Haystack: On the Role of Incidental Bilingualism in PaLM's Translation Capabilitycited by 62
- 2024Lightning Attention-2: A Free Lunch for Handling Unlimited Sequence Lengths in Large Language Modelscited by 57
- 2024Jamba-1.5: Hybrid Transformer-Mamba Models at Scalecited by 48
- 2025MoM: Linear Sequence Modeling with Mixture-of-Memoriescited by 44
- 2023TransNormerLLM: A Faster and Better Large Language Model with Improved TransNormercited by 34
- 2024Fewer Truncations Improve Language Modelingcited by 33
- 2022ByteTransformer: A High-Performance Transformer Boosted for Variable-Length Inputscited by 32
- 2024Dataset Decomposition: Faster LLM Training with Variable Sequence Length Curriculumcited by 25
- 2022Boosting Distributed Training Performance of the Unpadded BERT Modelcited by 15
50 most cited of 53 All 53 (JSON)
Built on by
Citing papers per year: 2025: 4; 2026: 2.
6 papers.
- 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
- 2025A Survey of Efficient Reasoning for Large Reasoning Models: Language, Multimodality, and Beyondcited by 131
- 2026LongCat-Flash-Thinking-2601 Technical Reportcited by 32
- 2025Comba: Improving Bilinear RNNs with Closed-loop Controlcited by 12
- 2025Native Hybrid Attention for Efficient Sequence Modelingcited by 10
- 2026Morphing into Hybrid Attention Modelscited by 2
- 2026Morphing into Hybrid Attention Models29 Jun 2026
- 2026LongCat-Flash-Thinking-2601 Technical Report23 Jan 2026
- 2025Native Hybrid Attention for Efficient Sequence Modeling8 Oct 2025
- 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attention16 Jun 2025
- 2025Comba: Improving Bilinear RNNs with Closed-loop Control3 Jun 2025
- 2025A Survey of Efficient Reasoning for Large Reasoning Models: Language, Multimodality, and Beyond27 Mar 2025
Similar, not cited
Close in wording, no citation either way
- 2025Routing Mamba: Scaling State Space Models with Mixture-of-Experts Projection
- 2021Scalable and Efficient MoE Training for Multitask Multilingual Models
- 2024BlackMamba: Mixture of Experts for State-Space Models
- 2025Faster MoE LLM Inference for Extremely Large Models
- 2023Pipeline MoE: A Flexible MoE Implementation with Pipeline Parallelism
- 2025MoE-Inference-Bench: Performance Evaluation of Mixture of Expert Large Language and Vision Models
- 2025Symphony-MoE: Harmonizing Disparate Pre-trained Models into a Coherent Mixture-of-Experts
- 2026Training Communication-Efficient Mixture-of-Experts Language Models with Layer Re-Configuration