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Mixtures-of-Experts (MoE) are conditional mixture models that have shown their performance in modeling heterogeneity in data in many statistical learning approaches for prediction, including regression and classification, as well as for…

Methodology · Statistics 2019-07-17 Bao Tuyen Huynh , Faicel Chamroukhi

Larger networks generally have greater representational power at the cost of increased computational complexity. Sparsifying such networks has been an active area of research but has been generally limited to static regularization or…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Xin Wang , Fisher Yu , Lisa Dunlap , Yi-An Ma , Ruth Wang , Azalia Mirhoseini , Trevor Darrell , Joseph E. Gonzalez

Mixture of Experts (MoE) architectures have significantly increased computational efficiency in both research and real-world applications of large-scale machine learning models. However, their scalability and efficiency under memory…

The softmax gating function is arguably the most popular choice in mixture of experts modeling. Despite its widespread use in practice, the softmax gating may lead to unnecessary competition among experts, potentially causing the…

Machine Learning · Statistics 2024-11-05 Huy Nguyen , Nhat Ho , Alessandro Rinaldo

Mixture-of-Experts (MoE) is a flexible framework that combines multiple specialized submodels (``experts''), by assigning covariate-dependent weights (``gating functions'') to each expert, and have been commonly used for analyzing…

Methodology · Statistics 2026-01-06 Qicheng Zhao , Celia M. T. Greenwood , Qihuang Zhang

Mixture of experts (MoE), introduced over 20 years ago, is the simplest gated modular neural network architecture. There is renewed interest in MoE because the conditional computation allows only parts of the network to be used during each…

Machine Learning · Computer Science 2023-03-01 Yamuna Krishnamurthy , Chris Watkins , Thomas Gaertner

The sparse Mixture of Experts(MoE) architecture has evolved as a powerful approach for scaling deep learning models to more parameters with comparable computation cost. As an important branch of large language model(LLM), MoE model only…

Machine Learning · Computer Science 2026-02-10 Dong Pan , Bingtao Li , Yongsheng Zheng , Jiren Ma , Victor Fei

Mixture-of-Experts (MoE) models have shown promising potential for parameter-efficient scaling across domains. However, their application to image classification remains limited, often requiring billion-scale datasets to be competitive. In…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Mathurin Videau , Alessandro Leite , Marc Schoenauer , Olivier Teytaud

Mixture of Experts (MoE) achieve parameter-efficient scaling through sparse expert routing, yet their internal representations remain poorly understood compared to dense models. We present a systematic comparison of MoE and dense model…

Machine Learning · Computer Science 2026-03-09 Marmik Chaudhari , Nishkal Hundia , Idhant Gulati

Mixture of experts (MoE) are a popular class of statistical and machine learning models that have gained attention over the years due to their flexibility and efficiency. In this work, we consider Gaussian-gated localized MoE (GLoME) and…

Statistics Theory · Mathematics 2022-09-29 TrungTin Nguyen , Hien Duy Nguyen , Faicel Chamroukhi , Florence Forbes

The capacity of a neural network to absorb information is limited by its number of parameters. Conditional computation, where parts of the network are active on a per-example basis, has been proposed in theory as a way of dramatically…

Machine Learning · Computer Science 2017-01-24 Noam Shazeer , Azalia Mirhoseini , Krzysztof Maziarz , Andy Davis , Quoc Le , Geoffrey Hinton , Jeff Dean

Sparse Mixture of Experts (MoE) models offer a scalable and efficient architecture for training large neural networks by activating only a subset of parameters ("experts") for each input. A learned router computes a distribution over these…

Machine Learning · Computer Science 2025-10-14 Nabil Omi , Siddhartha Sen , Ali Farhadi

Mixture-of-Experts (MoE) is now the dominant architecture for frontier language models, yet it requires all expert parameters to be loaded in memory, making it less preferable for memory-constrained deployment. Existing compression methods…

Computation and Language · Computer Science 2026-05-28 Junhyuck Kim , Jihun Yun , Haechan Kim , Gyeongman Kim , Joonghyun Bae , Jaewoong Cho

Sparse Mixture-of-Experts (MoE) models offer a powerful way to scale model size without increasing compute, as per-token FLOPs depend only on k active experts rather than the total pool of E experts. Yet, this asymmetry creates an MoE…

Machine Learning · Computer Science 2026-05-15 Linghao Jin , Chufan Shi , Huijuan Wang , Nuan Wen , Zhengzhong Liu , Eric Xing , Xuezhe Ma

The Mixture of Experts (MoE) selects a few feed-forward networks (FFNs) per token, achieving an effective trade-off between computational cost and performance. In conventional MoE, each expert is treated as entirely independent, and experts…

Machine Learning · Computer Science 2026-01-27 Shota Takashiro , Takeshi Kojima , Shohei Taniguchi , Yusuke Iwasawa , Yutaka Matsuo

Hard-parameter sharing is a common strategy to train a single model jointly across diverse tasks. However, this often leads to task interference, impeding overall model performance. To address the issue, we propose a simple yet effective…

Computation and Language · Computer Science 2025-08-15 Hojun Jin , Eunsoo Hong , Ziwon Hyung , Sungjun Lim , Seungjin Lee , Keunseok Cho

Sparse Mixture of Experts (MoE) large language models (LLMs) are gradually becoming the mainstream approach for ultra-large-scale models. Existing optimization efforts for MoE models have focused primarily on coarse-grained MoE…

Computation and Language · Computer Science 2025-05-07 Haoqi Yang , Luohe Shi , Qiwei Li , Zuchao Li , Ping Wang , Bo Du , Mengjia Shen , Hai Zhao

Sparsely activated transformers, such as Mixture of Experts (MoE), have received great interest due to their outrageous scaling capability which enables dramatical increases in model size without significant increases in computational cost.…

Machine Learning · Computer Science 2022-07-05 Rui Liu , Young Jin Kim , Alexandre Muzio , Hany Hassan Awadalla

Mixture-of-experts (MoE) models that employ sparse activation have demonstrated effectiveness in significantly increasing the number of parameters while maintaining low computational requirements per token. However, recent studies have…

Computation and Language · Computer Science 2023-10-24 Haoran Xu , Maha Elbayad , Kenton Murray , Jean Maillard , Vedanuj Goswami

Mixture-of-Experts (MoE) models scale more effectively than dense models due to sparse computation through expert routing, selectively activating only a small subset of expert modules. However, sparse computation challenges traditional…