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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

Mixture-of-Experts (MoEs) achieve scalability by dynamically activating subsets of their components. Yet, understanding how expertise emerges through joint training of gating mechanisms and experts remains incomplete, especially in…

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

Methodology · Statistics 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

We consider the statistical analysis of heterogeneous data for prediction in situations where the observations include functions, typically time series. We extend the modeling with Mixtures-of-Experts (ME), as a framework of choice in…

Methodology · Statistics 2023-12-21 Faïcel Chamroukhi , Nhat Thien Pham , Van Hà Hoang , Geoffrey J. McLachlan

Gaussian processes (GPs) are nonparametric Bayesian models that have been applied to regression and classification problems. One of the approaches to alleviate their cubic training cost is the use of local GP experts trained on subsets of…

Machine Learning · Statistics 2021-02-16 Samuel Cohen , Rendani Mbuvha , Tshilidzi Marwala , Marc Peter Deisenroth

In this paper we consider regression problems subject to arbitrary noise in the operator or design matrix. This characterization appropriately models many physical phenomena with uncertainty in the regressors. Although the problem has been…

Computation · Statistics 2021-04-08 Richard J Clancy , Stephen Becker

We propose MoE-F - a formalized mechanism for combining $N$ pre-trained Large Language Models (LLMs) for online time-series prediction by adaptively forecasting the best weighting of LLM predictions at every time step. Our mechanism…

By increasing model parameters but activating them sparsely when performing a task, the use of Mixture-of-Experts (MoE) architecture significantly improves the performance of Large Language Models (LLMs) without increasing the inference…

Computation and Language · Computer Science 2025-06-10 Zeliang Zhang , Xiaodong Liu , Hao Cheng , Chenliang Xu , Jianfeng Gao

Mixture-of-Experts (MoE) models are designed to enhance the efficiency of large language models (LLMs) without proportionally increasing the computational demands. However, their deployment on edge devices still faces significant challenges…

Machine Learning · Computer Science 2024-08-21 Shuzhang Zhong , Ling Liang , Yuan Wang , Runsheng Wang , Ru Huang , Meng Li

Mixture-of-experts (MoE) is becoming popular due to its success in improving the model quality, especially in Transformers. By routing tokens with a sparse gate to a few experts (i.e., a small pieces of the full model), MoE can easily…

Machine Learning · Computer Science 2022-10-11 Xiaonan Nie , Xupeng Miao , Shijie Cao , Lingxiao Ma , Qibin Liu , Jilong Xue , Youshan Miao , Yi Liu , Zhi Yang , Bin Cui

Softmax loss is arguably one of the most popular losses to train CNN models for image classification. However, recent works have exposed its limitation on feature discriminability. This paper casts a new viewpoint on the weakness of softmax…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Xiaobo Wang , Shifeng Zhang , Zhen Lei , Si Liu , Xiaojie Guo , Stan Z. Li

Converting an n-dimensional vector to a probability distribution over n objects is a commonly used component in many machine learning tasks like multiclass classification, multilabel classification, attention mechanisms etc. For this,…

This article investigates the origin of numerical issues in maximum likelihood parameter estimation for Gaussian process (GP) interpolation and investigates simple but effective strategies for improving commonly used open-source software…

Machine Learning · Statistics 2022-02-07 Subhasish Basak , Sébastien Petit , Julien Bect , Emmanuel Vazquez

We propose an approximate strategy to efficiently train neural network based language models over very large vocabularies. Our approach, called adaptive softmax, circumvents the linear dependency on the vocabulary size by exploiting the…

Computation and Language · Computer Science 2017-06-20 Edouard Grave , Armand Joulin , Moustapha Cissé , David Grangier , Hervé Jégou

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

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

In this work, we propose a method that combines two popular research areas by injecting linguistic structures into pre-trained language models in the parameter-efficient fine-tuning (PEFT) setting. In our approach, parallel adapter modules…

Computation and Language · Computer Science 2023-10-26 Raymond Li , Gabriel Murray , Giuseppe Carenini

Large language models (LLMs) based on transformers have made significant strides in recent years, the success of which is driven by scaling up their model size. Despite their high algorithmic performance, the computational and memory…

Machine Learning · Computer Science 2024-04-30 Ranggi Hwang , Jianyu Wei , Shijie Cao , Changho Hwang , Xiaohu Tang , Ting Cao , Mao Yang

Previous multi-task dense prediction methods based on the Mixture of Experts (MoE) have received great performance but they neglect the importance of explicitly modeling the global relations among all tasks. In this paper, we present a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Yuqi Yang , Peng-Tao Jiang , Qibin Hou , Hao Zhang , Jinwei Chen , Bo Li

The multivariate generalized Gaussian distribution (MGGD), also known as the multivariate exponential power (MEP) distribution, is widely used in signal and image processing. However, estimating MGGD parameters, which is required in…

Methodology · Statistics 2023-12-13 Nora Ouzir , Frédéric Pascal , Jean-Christophe Pesquet