mlsanityData to 14 Oct 2026

Sigma-MoE-Tiny Technical Report

arXiv 2512.16248 ↗First posted 18 Dec 2025cs.CL cs.AIcited by 2

On the map: Mixture-of-experts → MoE large language models

Abstract (arXiv)

Mixture-of-Experts (MoE) has emerged as a promising paradigm for foundation models due to its efficient and powerful scalability. In this work, we present Sigma-MoE-Tiny, an MoE language model that achieves the highest sparsity compared to existing open-source models. Sigma-MoE-Tiny employs fine-grained expert segmentation with up to 96 experts per layer, while activating only one expert for each token, resulting in 20B total parameters with just 0.5B activated. The major challenge introduced by such extreme sparsity lies in expert load balancing. We find that the widely-used load balancing loss tends to become ineffective in the lower layers under this setting. To address this issue, we propose a progressive sparsification schedule aiming to balance expert utilization and training stability. Sigma-MoE-Tiny is pre-trained on a diverse and high-quality corpus, followed by post-training to further unlock its capabilities. The entire training process remains remarkably stable, with no occurrence of irrecoverable loss spikes. Comprehensive evaluations reveal that, despite activating only 0.5B parameters, Sigma-MoE-Tiny achieves top-tier performance among counterparts of comparable or significantly larger scale. In addition, we provide an in-depth discussion of load balancing in highly sparse MoE models, offering insights for advancing sparsity in future MoE architectures. Project page: https://qghuxmu.github.io/Sigma-MoE-Tiny Code: https://github.com/microsoft/ltp-megatron-lm

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in MoE large language models, one of 12 directions in Mixture-of-experts. Builds on 35 of its 43 references that are in the map. First posted on arXiv 18 Dec 2025.

Builds on

35 of 43 references.

Closest ancestors · 5

Same direction, newest first

  1. 2025Qwen3 Technical Report14 May
  2. 2024DeepSeek-V2: A Strong, Economical, and Efficient Mixture-of-Experts Language Model7 May
  3. 2024DeepSeekMoE: Towards Ultimate Expert Specialization in Mixture-of-Experts Language Models11 Jan
  4. 2024Mixtral of Experts8 Jan
  5. 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan

Other references · 30

  1. 2017Attention Is All You Needcited by 60,361
  2. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
  3. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  4. 2021Evaluating Large Language Models Trained on Codecited by 8,320
  5. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  6. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  7. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  8. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
  9. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,100
  10. 2021Program Synthesis with Large Language Modelscited by 3,637
  11. 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,073
  12. 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
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  3. 2024Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phonecited by 1,917
  4. 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,848
  5. 2025Gemma 3 Technical Reportcited by 1,824
  6. 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,807
  7. 2020GLU Variants Improve Transformercited by 1,804
  8. 2019Root Mean Square Layer Normalizationcited by 1,480
  9. 2023GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpointscited by 1,346
  10. 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,160
  11. 2023Scaling Vision Transformers to 22 Billion Parameterscited by 694
  12. 2024DataComp-LM: In search of the next generation of training sets for language modelscited by 398
  13. 2024Auxiliary-Loss-Free Load Balancing Strategy for Mixture-of-Expertscited by 205
  14. 2024Are We Done with MMLU?cited by 194
  15. 2024Nemotron-CC: Transforming Common Crawl into a Refined Long-Horizon Pretraining Datasetcited by 160
  16. 2025Every Step Evolves: Scaling Reinforcement Learning for Trillion-Scale Thinking Modelcited by 55
  17. 2025Demons in the Detail: On Implementing Load Balancing Loss for Training Specialized Mixture-of-Expert Modelscited by 54
  18. 2025SIGMA: An AI-Empowered Training Stack on Early-Life Hardwarecited by 2

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 2.

2 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Pruning and Distilling Mixture-of-Experts into Dense Language Models
  2. 2024QuantMoE-Bench: Examining Post-Training Quantization for Mixture-of-Experts
  3. 2026Uncovering Intra-expert Activation Sparsity for Efficient Mixture-of-Expert Model Execution
  4. 2025Advancing Expert Specialization for Better MoE
  5. 2024Scaling Laws for Fine-Grained Mixture of Experts
  6. 2026DAG-MoE: From Simple Mixture to Structural Aggregation in Mixture-of-Experts
  7. 2026The Rise of Sparse Mixture-of-Experts: A Survey from Algorithmic Foundations to Decentralized Architectures and Vertical Domain Applications
  8. 2025Training Matryoshka Mixture-of-Experts for Elastic Inference-Time Expert Utilization