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Multilevel data are prevalent in many real-world applications. However, it remains an open research problem to identify and justify a class of models that flexibly capture a wide range of multilevel data. Motivated by the versatility of the…

Statistics Theory · Mathematics 2022-10-03 Tsz Chai Fung , Spark C. Tseung

Mixture-of-Experts (MoE) models typically fix the number of activated experts $k$ at both training and inference. However, real-world deployments often face heterogeneous hardware, fluctuating workloads, and diverse quality-latency…

Computation and Language · Computer Science 2026-05-12 Naibin Gu , Zhenyu Zhang , Yuchen Feng , Yilong Chen , Peng Fu , Zheng Lin , Shuohuan Wang , Yu Sun , Hua Wu , Weiping Wang , Haifeng Wang

Mixture of experts (MoE) has recently emerged as an effective framework to advance the efficiency and scalability of machine learning models by softly dividing complex tasks among multiple specialized sub-models termed experts. Central to…

Machine Learning · Statistics 2025-03-06 Huy Nguyen , Nhat Ho , Alessandro Rinaldo

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

Mixture-of-Experts (MoE) models scale large language models efficiently by sparsely activating experts, but once an expert is selected, it is executed fully. Hence, the trade-off between accuracy and computation in an MoE model typically…

Machine Learning · Computer Science 2026-02-09 Nurbek Tastan , Stefanos Laskaridis , Karthik Nandakumar , Samuel Horvath

Mixture-of-Experts (MoE) layers have emerged as an important tool in scaling up modern neural networks by decoupling total trainable parameters from activated parameters in the forward pass for each token. However, sparse MoEs add…

Machine Learning · Computer Science 2026-05-22 Tianze Jiang , Blake Bordelon , Cengiz Pehlevan , Boris Hanin

Mixture of Experts (MoE) models enable parameter-efficient scaling through sparse expert activations, yet optimizing their inference and memory costs remains challenging due to limited understanding of their specialization behavior. We…

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

Mixture-of-Experts (MoE) language models can reduce computational costs by 2-4$\times$ compared to dense models without sacrificing performance, making them more efficient in computation-bounded scenarios. However, MoE models generally…

Machine Learning · Computer Science 2024-04-09 Bowen Pan , Yikang Shen , Haokun Liu , Mayank Mishra , Gaoyuan Zhang , Aude Oliva , Colin Raffel , Rameswar Panda

The generation quality of large language models (LLMs) is often improved by utilizing inference-time sequence-level scaling methods (e.g., Chain-of-Thought). We introduce hyper-parallel scaling, a complementary framework that improves…

Artificial Intelligence · Computer Science 2025-10-15 Soheil Zibakhsh , Mohammad Samragh , Kumari Nishu , Lauren Hannah , Arnav Kundu , Minsik Cho

Mixture-of-experts (MoE) is gaining increasing attention due to its unique properties and remarkable performance, especially for language tasks. By sparsely activating a subset of parameters for each token, MoE architecture could increase…

Computation and Language · Computer Science 2025-06-24 Ka Man Lo , Zeyu Huang , Zihan Qiu , Zili Wang , Jie Fu

Mixture-of-Experts (MoE) has emerged as a promising approach to scale up deep learning models due to its significant reduction in computational resources. However, the dynamic nature of MoE leads to load imbalance among experts, severely…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-16 Chenqi Zhao , Wenfei Wu , Linhai Song , Yuchen Xu , Yitao Yuan

Mixture-of-Experts (MoE) architectures have emerged as a cornerstone of modern AI systems. In particular, MoEs route inputs dynamically to specialized experts whose outputs are aggregated through weighted summation. Despite their widespread…

Machine Learning · Computer Science 2025-10-09 Fangshuo Liao , Anastasios Kyrillidis

Mixture of Experts (MoE) has become a key architectural paradigm for efficiently scaling Large Language Models (LLMs) by selectively activating a subset of parameters for each input token. However, standard MoE architectures face…

Machine Learning · Computer Science 2025-05-27 Zehua Liu , Han Wu , Ruifeng She , Xiaojin Fu , Xiongwei Han , Tao Zhong , Mingxuan Yuan

Scaling Mixture-of-Experts (MoE) training introduces systems challenges absent in dense models. Because each token activates only a subset of experts, this sparsity allows total parameters to grow much faster than per-token computation,…

The performance of the reward model (RM) is a critical factor in improving the effectiveness of the large language model (LLM) during alignment fine-tuning. There remain two challenges in RM training: 1) training the same RM using various…

Computation and Language · Computer Science 2024-04-30 Shanghaoran Quan

The use of deep neural networks in reinforcement learning (RL) often suffers from performance degradation as model size increases. While soft mixtures of experts (SoftMoEs) have recently shown promise in mitigating this issue for online RL,…

Machine Learning · Computer Science 2025-02-28 Ghada Sokar , Johan Obando-Ceron , Aaron Courville , Hugo Larochelle , Pablo Samuel Castro

Mixture-of-Experts (MoE) architectures have become the key to scaling modern LLMs, yet little is understood about how their sparse routing dynamics respond to multilingual data. In this work, we analyze expert routing patterns using…

Computation and Language · Computer Science 2026-02-19 Lucas Bandarkar , Chenyuan Yang , Mohsen Fayyaz , Junlin Hu , Nanyun Peng

Despite their practical success, it remains unclear why Mixture of Experts (MoE) models can outperform dense networks beyond sheer parameter scaling. We study an iso-parameter regime where inputs exhibit latent modular structure but are…

Machine Learning · Computer Science 2026-01-22 Dong Sun , Rahul Nittala , Rebekka Burkholz

Machine Learning Interatomic Potentials (MLIPs) enable accurate large-scale atomistic simulations, yet improving their expressive capacity efficiently remains challenging. Here we systematically develop Mixture-of-Experts (MoE) and…

Chemical Physics · Physics 2026-03-13 Yuzhi Liu , Duo Zhang , Anyang Peng , Weinan E , Linfeng Zhang , Han Wang

Sparse Mixture of Experts (SMoE) has become the key to unlocking unparalleled scalability in deep learning. SMoE has the potential to exponentially increase parameter count while maintaining the efficiency of the model by only activating a…

Machine Learning · Computer Science 2024-10-21 Rachel S. Y. Teo , Tan M. Nguyen