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We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are unevenly distributed over an extremely large number of nodes. The goal is to train a…

Machine Learning · Computer Science 2016-10-11 Jakub Konečný , H. Brendan McMahan , Daniel Ramage , Peter Richtárik

The real-world traffic networks undergo expansion through the installation of new sensors, implying that the traffic patterns continually evolve over time. Incrementally training a model on the newly added sensors would make the model…

Machine Learning · Computer Science 2024-06-06 Sanghyun Lee , Chanyoung Park

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are distributed (unevenly) over an extremely large number of \nodes, but the goal remains to…

Machine Learning · Computer Science 2015-11-12 Jakub Konečný , Brendan McMahan , Daniel Ramage

With the widespread adoption of Large Language Models (LLMs), many deep learning practitioners are looking for strategies of running these models more efficiently. One such strategy is to use sparse Mixture-of-Experts (MoE) - a type of…

Machine Learning · Computer Science 2023-12-29 Artyom Eliseev , Denis Mazur

We focus on multi-domain Neural Machine Translation, with the goal of developing efficient models which can handle data from various domains seen during training and are robust to domains unseen during training. We hypothesize that Sparse…

Computation and Language · Computer Science 2024-07-02 Nadezhda Chirkova , Vassilina Nikoulina , Jean-Luc Meunier , Alexandre Bérard

Optimal Transport is a foundational mathematical theory that connects optimization, partial differential equations, and probability. It offers a powerful framework for comparing probability distributions and has recently become an important…

Machine Learning · Statistics 2025-05-13 Gabriel Peyré

Mixture-of-Experts (MoE) models embody the divide-and-conquer concept and are a promising approach for increasing model capacity, demonstrating excellent scalability across multiple domains. In this paper, we integrate the MoE structure…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Xumeng Han , Longhui Wei , Zhiyang Dou , Zipeng Wang , Chenhui Qiang , Xin He , Yingfei Sun , Zhenjun Han , Qi Tian

Recently, diffusion models have achieved a great performance with a small dataset of size $n$ and a fast optimization process. However, the estimation error of diffusion models suffers from the curse of dimensionality $n^{-1/D}$ with the…

Machine Learning · Computer Science 2026-01-06 Ruofeng Yang , Yongcan Li , Bo Jiang , Cheng Chen , Shuai Li

Generative modelling is a key tool in unsupervised machine learning which has achieved stellar success in recent years. Despite this huge success, even the best generative models such as Generative Adversarial Networks (GANs) and…

Machine Learning · Statistics 2021-01-15 Aratrika Mustafi

The sparsely gated mixture of experts (MoE) architecture sends different inputs to different subnetworks, i.e., experts, through trainable routers. MoE reduces the training computation significantly for large models, but its deployment can…

This paper uses classical high-rate quantization theory to provide new insights into mixture-of-experts (MoE) models for regression tasks. Our MoE is defined by a segmentation of the input space to regions, each with a single-parameter…

Machine Learning · Computer Science 2025-10-06 Yehuda Dar

The mixture of experts (MoE) model is a sparse variant of large language models (LLMs), designed to hold a better balance between intelligent capability and computational overhead. Despite its benefits, MoE is still too expensive to deploy…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-23 Haodong Wang , Qihua Zhou , Zicong Hong , Song Guo

The Mixture of Experts (MoE) selects a few feed-forward networks (FFNs) per token, achieving an effective trade-off between computational cost and performance. In conventional MoE, each expert is treated as entirely independent, and experts…

Machine Learning · Computer Science 2026-01-27 Shota Takashiro , Takeshi Kojima , Shohei Taniguchi , Yusuke Iwasawa , Yutaka Matsuo

In this paper, we propose a novel distributed data-driven optimization scheme. In detail, we focus on the so-called aggregative framework, a scenario in which a set of agents aim to cooperatively minimize the sum of local costs, each…

Optimization and Control · Mathematics 2026-01-27 Riccardo Brumali , Guido Carnevale , Giuseppe Notarstefano

This paper proposes a discontinuity-sensitive approach to learn the solutions of parametric optimal control problems with high accuracy. Many tasks, ranging from model predictive control to reinforcement learning, may be solved by learning…

Robotics · Computer Science 2019-07-03 Gao Tang , Kris Hauser

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

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 have gained popularity as a means of scaling the capacity of large language models (LLMs) while maintaining sparse activations and reduced per-token compute. However, in memory-constrained inference settings,…

Machine Learning · Computer Science 2026-03-23 Vivan Madan , Prajwal Singhania , Abhinav Bhatele , Tom Goldstein , Ashwinee Panda

Larger transformer models always perform better on various tasks but require more costs to scale up the model size. To efficiently enlarge models, the mixture-of-experts (MoE) architecture is widely adopted, which consists of a gate network…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-14 Xiaonan Nie , Qibin Liu , Fangcheng Fu , Shenhan Zhu , Xupeng Miao , Xiaoyang Li , Yang Zhang , Shouda Liu , Bin Cui

We study local aggregation and graph analysis in distributed environments using the message passing model. We provide a flexible framework, where each of the nodes in a set $S$--which is a subset of all nodes in the network--can perform a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Benjamin Dissler , Stephan Holzer , Roger Wattenhofer
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