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In this paper, different strands of literature are combined in order to obtain algorithms for semi-parametric estimation of discrete choice models that include the modelling of unobserved heterogeneity by using mixing distributions for the…

Methodology · Statistics 2022-12-12 Dietmar Bauer , Sebastian Büscher , Manuel Batram

Mixture-of-Experts (MoE) networks have been proposed as an efficient way to scale up model capacity and implement conditional computing. However, the study of MoE components mostly focused on the feedforward layer in Transformer…

Computation and Language · Computer Science 2022-10-12 Xiaofeng Zhang , Yikang Shen , Zeyu Huang , Jie Zhou , Wenge Rong , Zhang Xiong

Mixture-of-Experts (MoE) activates only a subset of experts during inference, allowing the model to maintain low inference FLOPs and latency even as the parameter count scales up. However, since MoE dynamically selects the experts, all the…

Machine Learning · Computer Science 2025-05-27 Shibo Jie , Yehui Tang , Kai Han , Yitong Li , Duyu Tang , Zhi-Hong Deng , Yunhe Wang

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

Mixture-of-experts (MoE) architectures used in large language models (LLMs) achieve state-of-the-art performance across diverse tasks yet face practical challenges such as deployment complexity and low activation efficiency. Expert pruning…

Machine Learning · Computer Science 2025-12-23 Xican Yang , Yuanhe Tian , Yan Song

Mixture-of-Experts (MoE) models can achieve promising results with outrageous large amount of parameters but constant computation cost, and thus it has become a trend in model scaling. Still it is a mystery how MoE layers bring quality…

Machine Learning · Computer Science 2021-08-10 An Yang , Junyang Lin , Rui Men , Chang Zhou , Le Jiang , Xianyan Jia , Ang Wang , Jie Zhang , Jiamang Wang , Yong Li , Di Zhang , Wei Lin , Lin Qu , Jingren Zhou , Hongxia Yang

This study evaluates the effectiveness of a Mixture of Experts (MoE) model for stock price prediction by comparing it to a Recurrent Neural Network (RNN) and a linear regression model. The MoE framework combines an RNN for volatile stocks…

Computational Finance · Quantitative Finance 2024-10-11 Diego Vallarino

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

The Mixture of Experts (MoE) for language models has been proven effective in augmenting the capacity of models by dynamically routing each input token to a specific subset of experts for processing. Despite the success, most existing…

Machine Learning · Computer Science 2024-07-26 Hao Zhao , Zihan Qiu , Huijia Wu , Zili Wang , Zhaofeng He , Jie Fu

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

Mixture modeling, which considers the potential heterogeneity in data, is widely adopted for classification and clustering problems. Mixture models can be estimated using the Expectation-Maximization algorithm, which works with the complete…

Methodology · Statistics 2022-03-18 Shonosuke Sugasawa , Genya Kobayashi

Mixture-of-experts (MoE) models provide a flexible statistical framework for modeling heterogeneity and nonlinear relationships. In many modern applications, however, datasets are naturally distributed across multiple machines due to…

Machine Learning · Computer Science 2026-03-12 Faïcel Chamroukhi , Nhat Thien Pham

Mixture-of-Experts (MoE) models mostly use a router to assign tokens to specific expert modules, activating only partial parameters and often outperforming dense models. We argue that the separation between the router's decision-making and…

Computation and Language · Computer Science 2025-06-02 Ang Lv , Ruobing Xie , Yining Qian , Songhao Wu , Xingwu Sun , Zhanhui Kang , Di Wang , Rui Yan

The first-stage retrieval aims to retrieve a subset of candidate documents from a huge collection both effectively and efficiently. Since various matching patterns can exist between queries and relevant documents, previous work tries to…

Information Retrieval · Computer Science 2023-11-07 Yinqiong Cai , Yixing Fan , Keping Bi , Jiafeng Guo , Wei Chen , Ruqing Zhang , Xueqi Cheng

The softmax-contaminated mixture of experts (MoE) model is deployed when a large-scale pre-trained model, which plays the role of a fixed expert, is fine-tuned for learning downstream tasks by including a new contamination part, or prompt,…

Machine Learning · Statistics 2025-11-25 Fanqi Yan , Huy Nguyen , Dung Le , Pedram Akbarian , Nhat Ho , Alessandro Rinaldo

Mixture modeling is a general technique for making any simple model more expressive through weighted combination. This generality and simplicity in part explains the success of the Expectation Maximization (EM) algorithm, in which updates…

Machine Learning · Statistics 2016-03-29 Sida I. Wang , Arun Tejasvi Chaganty , Percy Liang

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

The Mixture of Experts (MoE) architecture has become a fundamental building block in state-of-the-art large language models (LLMs), improving domain-specific expertise in LLMs and scaling model capacity without proportionally increasing…

Machine Learning · Computer Science 2026-05-13 Ankit Jyothish , Ali Jannesari , Aishwarya Sarkar , Joseph Zuber

In this work, we first explore whether the parameters activated by the MoE layer remain highly sparse at inference. We perform a sparsification study on several representative MoE models. For each expert, we rank parameters by the magnitude…

Computation and Language · Computer Science 2025-10-08 Runxi Cheng , Yuchen Guan , Yucheng Ding , Qingguo Hu , Yongxian Wei , Chun Yuan , Yelong Shen , Weizhu Chen , Yeyun Gong

Clustering high-dimensional data, such as images or biological measurements, is a long-standingproblem and has been studied extensively. Recently, Deep Clustering has gained popularity due toits flexibility in fitting the specific…

Machine Learning · Computer Science 2020-12-21 Andreas Kopf , Vincent Fortuin , Vignesh Ram Somnath , Manfred Claassen
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