Sparsity and Superposition in Mixture of Experts
On the map: Mixture-of-experts → MoE large language models
Abstract (arXiv)
Mixture of Experts (MoE) models have become central to scaling large language models, yet their mechanistic differences from dense networks remain poorly understood. Previous work has explored how dense models use textitsuperposition to represent more features than dimensions, and how superposition is a function of feature sparsity and feature importance. MoE models cannot be explained mechanistically through the same lens. We find that neither feature sparsity nor feature importance cause discontinuous phase changes, and that network sparsity (the ratio of active to total experts) better characterizes MoEs. We develop new metrics for measuring superposition across experts. Our findings demonstrate that models with greater network sparsity exhibit greater monosemanticity. We propose a new definition of expert specialization based on monosemantic feature representation rather than load balancing, showing that experts naturally organize around coherent feature combinations when initialized appropriately. These results suggest that network sparsity in MoEs may enable more interpretable models without sacrificing performance, challenging the common assumption that interpretability and capability are fundamentally at odds.
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 12 of its 16 references that are in the map. First posted on arXiv 26 Oct 2025.
Builds on
12 of 16 references.
Closest ancestors · 5
Same direction, newest first
- 2025Qwen3 Technical Report14 May
- 2025Mixture of Experts Made Intrinsically Interpretable5 Mar
- 2024Mixtral of Experts8 Jan
- 2022ST-MoE: Designing Stable and Transferable Sparse Expert Models17 Feb
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layer23 Jan
Other references · 7
- 2021Switch Transformers: Scaling to Trillion Parameter Models with Simple and Efficient Sparsitycited by 3,073
- 2022Toy Models of Superpositioncited by 971
- 2022Mixture-of-Experts with Expert Choice Routingcited by 623
- 2025A Comprehensive Survey of Mixture-of-Experts: Algorithms, Theory, and Applicationscited by 91
- 2022Polysemanticity and Capacity in Neural Networkscited by 77
- 2014Uniform Sampling for Matrix Approximationcited by 31
- 2024Monet: Mixture of Monosemantic Experts for Transformerscited by 13
Built on by
Citing papers per year: 2026: 2.
2 papers.
Similar, not cited
Close in wording, no citation either way
- 2026The Expert Strikes Back: Interpreting Mixture-of-Experts Language Models at Expert Level
- 2025Towards a Comprehensive Scaling Law of Mixture-of-Experts
- 2024A Closer Look into Mixture-of-Experts in Large Language Models
- 2025Parameters vs FLOPs: Scaling Laws for Optimal Sparsity for Mixture-of-Experts Language Models
- 2026RouterInterp: Understanding Superposed Specialisation in Mixture of Experts Routing
- 2025Unveiling Super Experts in Mixture-of-Experts Large Language Models
- 2025Optimal Sparsity of Mixture-of-Experts Language Models for Reasoning Tasks
- 2024Scaling Laws for Fine-Grained Mixture of Experts