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Mixture of Experts (MoE) are successful models for modeling heterogeneous data in many statistical learning problems including regression, clustering and classification. Generally fitted by maximum likelihood estimation via the well-known…

Machine Learning · Statistics 2018-10-30 Faicel Chamroukhi , Bao-Tuyen Huynh

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

This paper presents a comprehensive review of the Mixture-of-Experts (MoE) architecture in large language models, highlighting its ability to significantly enhance model performance while maintaining minimal computational overhead. Through…

Machine Learning · Computer Science 2025-12-24 Danyang Zhang , Junhao Song , Ziqian Bi , Xinyuan Song , Yingfang Yuan , Tianyang Wang , Joe Yeong , Junfeng Hao

Mixture-of-Experts (MoE) architectures decompose prediction tasks into specialized expert sub-networks selected by a gating mechanism. This letter adopts a communication-theoretic view of MoE gating, modeling the gate as a stochastic…

Machine Learning · Statistics 2026-03-27 Ali Khalesi , Mohammad Reza Deylam Salehi

In recent years, various methods have been proposed for mesh analysis, each offering distinct advantages and often excelling on different object classes. We present a novel Mixture of Experts (MoE) framework designed to harness the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Amir Belder , Ayellet Tal

Large language models, such as OpenAI's ChatGPT, have demonstrated exceptional language understanding capabilities in various NLP tasks. Sparsely activated mixture-of-experts (MoE) has emerged as a promising solution for scaling models…

Computation and Language · Computer Science 2023-10-12 Jiamin Li , Qiang Su , Yitao Yang , Yimin Jiang , Cong Wang , Hong Xu

The Mixture of Experts (MoE) has emerged as a highly successful technique in deep learning, based on the principle of divide-and-conquer to maximize model capacity without significant additional computational cost. Even in the era of…

Computation and Language · Computer Science 2024-09-02 Boan Liu , Liang Ding , Li Shen , Keqin Peng , Yu Cao , Dazhao Cheng , Dacheng Tao

Continual learning (CL) has garnered significant attention because of its ability to adapt to new tasks that arrive over time. Catastrophic forgetting (of old tasks) has been identified as a major issue in CL, as the model adapts to new…

Machine Learning · Computer Science 2025-02-20 Hongbo Li , Sen Lin , Lingjie Duan , Yingbin Liang , Ness B. Shroff

Mixture-of-Experts (MoE) architectures combine specialized predictors through a learned gate and are effective across regression and classification, but for classification with softmax multinomial-logistic gating, rigorous guarantees for…

Machine Learning · Statistics 2026-02-10 TrungKhang Tran , TrungTin Nguyen , Md Abul Bashar , Nhat Ho , Richi Nayak , Christopher Drovandi

Contaminated mixture of experts (MoE) is motivated by transfer learning methods where a pre-trained model, acting as a frozen expert, is integrated with an adapter model, functioning as a trainable expert, in order to learn a new task.…

Statistics Theory · Mathematics 2026-02-03 Fanqi Yan , Dung Le , Trang Pham , Huy Nguyen , Nhat Ho

We propose Preferential MoE, a novel human-ML mixture-of-experts model that augments human expertise in decision making with a data-based classifier only when necessary for predictive performance. Our model exhibits an interpretable gating…

Machine Learning · Computer Science 2021-01-15 Melanie F. Pradier , Javier Zazo , Sonali Parbhoo , Roy H. Perlis , Maurizio Zazzi , Finale Doshi-Velez

Linear Mode Connectivity (LMC) is a notable phenomenon in the loss landscapes of neural networks, wherein independently trained models have been observed to be connected--up to permutation symmetries--by linear paths in parameter space…

Machine Learning · Computer Science 2025-10-28 Viet-Hoang Tran , Van Hoan Trinh , Khanh Vinh Bui , Tan M. Nguyen

We consider the parameter estimation problem in the deviated Gaussian mixture of experts in which the data are generated from $(1 - \lambda^{\ast}) g_0(Y| X)+ \lambda^{\ast} \sum_{i = 1}^{k_{\ast}} p_{i}^{\ast}…

Machine Learning · Statistics 2024-06-25 Huy Nguyen , Khai Nguyen , Nhat Ho

This study develops and empirically validates a Mixture of Experts (MoE) framework for stock price prediction across heterogeneous volatility regimes using real market data. The proposed model combines a Recurrent Neural Network (RNN)…

Statistical Finance · Quantitative Finance 2025-08-06 Diego Vallarino

Mixture of Experts (MoE) has emerged as a promising paradigm for scaling model capacity while preserving computational efficiency, particularly in large-scale machine learning architectures such as large language models (LLMs). Recent…

Networking and Internet Architecture · Computer Science 2026-01-29 Yunting Xu , Jiacheng Wang , Ruichen Zhang , Changyuan Zhao , Dusit Niyato , Jiawen Kang , Zehui Xiong , Bo Qian , Haibo Zhou , Shiwen Mao , Abbas Jamalipour , Xuemin Shen , Dong In Kim

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

Mixture of Experts (MoE), an ensemble of specialized models equipped with a router that dynamically distributes each input to appropriate experts, has achieved successful results in the field of machine learning. However, theoretical…

Machine Learning · Computer Science 2025-08-19 Ryotaro Kawata , Kohsei Matsutani , Yuri Kinoshita , Naoki Nishikawa , Taiji Suzuki

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

Mixture of experts (MoE) models are widely applied for conditional probability density estimation problems. We demonstrate the richness of the class of MoE models by proving denseness results in Lebesgue spaces, when inputs and outputs…

Statistics Theory · Mathematics 2021-10-12 Hien Duy Nguyen , TrungTin Nguyen , Faicel Chamroukhi , Geoffrey McLachlan

Estimating accurate and well-calibrated predictive uncertainty is important for enhancing the reliability of computer vision models, especially in safety-critical applications like traffic scene perception. While ensemble methods are…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Svetlana Pavlitska , Beyza Keskin , Alwin Faßbender , Christian Hubschneider , J. Marius Zöllner