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The sparse Mixture-of-Experts (MoE) architecture is increasingly favored for scaling Large Language Models (LLMs) efficiently, but it depends on heterogeneous compute and memory resources. These factors jointly affect system Cost, Accuracy,…

Expectation Maximization (EM) is among the most popular algorithms for estimating parameters of statistical models. However, EM, which is an iterative algorithm based on the maximum likelihood principle, is generally only guaranteed to find…

Statistics Theory · Mathematics 2016-08-30 Ji Xu , Daniel Hsu , Arian Maleki

Mixture-of-Experts (MoE) models are a promising way to scale up model capacity without significantly increasing computational cost. A key component of MoEs is the router, which decides which subset of parameters (experts) process which…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Tianlin Liu , Mathieu Blondel , Carlos Riquelme , Joan Puigcerver

We study mixture of linear regression (random coefficient) models, which capture population heterogeneity by allowing the regression coefficients to follow an unknown distribution $G^*$. In contrast to common parametric methods that fix the…

Methodology · Statistics 2025-07-01 Hansheng Jiang , Adityanand Guntuboyina

Model selection, via penalized likelihood type criteria, is a standard task in many statistical inference and machine learning problems. Progress has led to deriving criteria with asymptotic consistency results and an increasing emphasis on…

Statistics Theory · Mathematics 2022-05-13 TrungTin Nguyen , Faicel Chamroukhi , Hien Duy Nguyen , Florence Forbes

Mixture-of-Experts (MoE) architectures have emerged as a promising paradigm for scaling large language models (LLMs) with sparse activation of task-specific experts. Despite their computational efficiency during inference, the massive…

Computation and Language · Computer Science 2025-04-11 Hongcheng Guo , Juntao Yao , Boyang Wang , Junjia Du , Shaosheng Cao , Donglin Di , Shun Zhang , Zhoujun Li

The Mixture-of-Experts (MoE) layer, a sparsely-activated model controlled by a router, has achieved great success in deep learning. However, the understanding of such architecture remains elusive. In this paper, we formally study how the…

Machine Learning · Computer Science 2022-08-05 Zixiang Chen , Yihe Deng , Yue Wu , Quanquan Gu , Yuanzhi Li

Large Language and Vision Models using a Mixture-of-Experts (MoE) architecture pose significant challenges for deployment due to their computational and memory demands. Mixed Precision Quantization assigns different precisions to different…

Machine Learning · Computer Science 2025-09-03 Krishna Teja Chitty-Venkata , Jie Ye , Murali Emani

The Mixture-of-Experts (MoE) architecture enables a significant increase in the total number of model parameters with minimal computational overhead. However, it is not clear what performance tradeoffs, if any, exist between MoEs and…

Sparse mixture of experts (SMoE) offers an appealing solution to scale up the model complexity beyond the mean of increasing the network's depth or width. However, we argue that effective SMoE training remains challenging because of the…

Artificial Intelligence · Computer Science 2025-05-20 Nam V. Nguyen , Huy Nguyen , Quang Pham , Van Nguyen , Savitha Ramasamy , Nhat Ho

Mixture-of-Experts (MoE) models face deployment challenges due to their large parameter counts and computational demands. We explore quantization for MoE models and highlight two key insights: 1) linear blocks exhibit varying quantization…

Machine Learning · Computer Science 2025-05-12 Haojie Duanmu , Xiuhong Li , Zhihang Yuan , Size Zheng , Jiangfei Duan , Xingcheng Zhang , Dahua Lin

The mixture of experts (MoE) model is a versatile framework for predictive modeling that has gained renewed interest in the age of large language models. A collection of predictive ``experts'' is learned along with a ``gating function''…

Methodology · Statistics 2024-10-14 Oh-Ran Kwon , Gourab Mukherjee , Jacob Bien

Mixture-of-Experts large language models (MoE-LLMs) marks a significant step forward of language models, however, they encounter two critical challenges in practice: 1) expert parameters lead to considerable memory consumption and loading…

Machine Learning · Computer Science 2025-02-25 Wei Huang , Yue Liao , Jianhui Liu , Ruifei He , Haoru Tan , Shiming Zhang , Hongsheng Li , Si Liu , Xiaojuan Qi

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

Mixture-of-Experts (MoE) has been demonstrated as an efficient method to scale up models. By dynamically and sparsely selecting activated experts, MoE can effectively reduce computational costs. Despite the success, we observe that many…

Machine Learning · Computer Science 2024-06-19 Haoze Wu , Zihan Qiu , Zili Wang , Hang Zhao , Jie Fu

Estimators derived from a divergence criterion such as $\varphi-$divergences are generally more robust than the maximum likelihood ones. We are interested in particular in the so-called MD$\varphi$DE, an estimator built using a dual…

Computation · Statistics 2016-06-14 Diaa Al Mohamad , Michel Broniatowski

Mixtures of linear mixed models (MLMMs) are useful for clustering grouped data and can be estimated by likelihood maximization through the EM algorithm. The conventional approach to determining a suitable number of components is to compare…

Applications · Statistics 2014-05-26 Siew Li Tan , David J. Nott

Recent years have seen a growing interest and adoption of LLMs, with Mixture-of-Experts (MoE) emerging as a leading architecture in extremely large models. Currently, the largest open-source models reach over $1$T parameters. At such…

AI-based models for histopathology whole slide image (WSI) analysis are increasingly common, but unsharp or blurred areas within WSI can significantly reduce prediction performance. In this study, we investigated the effect of image blur on…

Image and Video Processing · Electrical Eng. & Systems 2025-07-21 Yujie Xiang , Bojing Liu , Mattias Rantalainen

Mixture-of-Experts (MoE) models have gained popularity in achieving state-of-the-art performance in a wide range of tasks in computer vision and natural language processing. They effectively expand the model capacity while incurring a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Haiyang Huang , Newsha Ardalani , Anna Sun , Liu Ke , Hsien-Hsin S. Lee , Anjali Sridhar , Shruti Bhosale , Carole-Jean Wu , Benjamin Lee
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