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Classical Mixtures of Experts (MoE) are Machine Learning models that involve partitioning the input space, with a separate "expert" model trained on each partition. Recently, MoE-based model architectures have become popular as a means to…

Machine Learning · Computer Science 2025-10-14 Quentin Fruytier , Aryan Mokhtari , Sujay Sanghavi

Mixture of Experts (MoE) models are well known for effectively scaling model capacity while preserving computational overheads. In this paper, we establish a rigorous relation between MoE and the self-attention mechanism, showing that each…

Machine Learning · Statistics 2025-07-10 Pedram Akbarian , Huy Nguyen , Xing Han , Nhat Ho

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

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…

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

As foundational models reshape scientific discovery, a bottleneck persists in dynamical system reconstruction (DSR): the ability to learn across system hierarchies. Many meta-learning approaches have been applied successfully to single…

Machine Learning · Computer Science 2025-06-12 Roussel Desmond Nzoyem , Grant Stevens , Amarpal Sahota , David A. W. Barton , Tom Deakin

While Large Language Models (LLMs) are commonly fine-tuned to handle domain-specific tasks before being applied to vertical applications, adapting them to complex scenarios with diverse specialized knowledge remains challenging. Meanwhile,…

Machine Learning · Computer Science 2026-05-26 Mengyang Sun , Maochuan Dou , Tao Feng , Dan Zhang , Yihao Wang , Junpeng Liu , Yifan Zhu , Jie Tang

Product search is the most common way for people to satisfy their shopping needs on e-commerce websites. Products are typically annotated with one of several broad categorical tags, such as "Clothing" or "Electronics", as well as…

Machine Learning · Computer Science 2021-03-03 Zhuojian Xiao , Yunjiang jiang , Guoyu Tang , Lin Liu , Sulong Xu , Yun Xiao , Weipeng Yan

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

Resource-efficient machine learning increasingly uses sparse Mixture-of-Experts (MoE) architectures, where the gate acts as both a learning component and a routing interface controlling computation, communication, and accuracy. Motivated by…

Machine Learning · Computer Science 2026-05-08 Mohammad Reza Deylam Salehi , Ali Khalesi

As machine learning models in critical fields increasingly grapple with multimodal data, they face the dual challenges of handling a wide array of modalities, often incomplete due to missing elements, and the temporal irregularity and…

Machine Learning · Computer Science 2025-04-10 Xing Han , Huy Nguyen , Carl Harris , Nhat Ho , Suchi Saria

Mixture-of-Experts (MoE) architectures enable conditional computation by routing inputs to multiple expert subnetworks and are often motivated as a mechanism for scaling large language models. In this project, we instead study MoE behavior…

Machine Learning · Computer Science 2026-01-22 Adam Rokah , Daniel Veress , Caleb Caulk , Sourav Sharan

The Mixture of Experts (MoE) is a widely known neural architecture where an ensemble of specialized sub-models optimizes overall performance with a constant computational cost. However, conventional MoEs pose challenges at scale due to the…

Computation and Language · Computer Science 2023-09-12 Ted Zadouri , Ahmet Üstün , Arash Ahmadian , Beyza Ermiş , Acyr Locatelli , Sara Hooker

Softmax mixture models (SMMs) are discrete $K$-mixtures introduced to model the probability of choosing an attribute $x_j \in \RR^L$ from $p$ candidates, in heterogeneous populations. They have been known as mixed multinomial logits in the…

Machine Learning · Statistics 2025-08-05 Xin Bing , Florentina Bunea , Jonathan Niles-Weed , Marten Wegkamp

Standard Mixture-of-Experts (MoE) models rely on centralized routing mechanisms that introduce rigid inductive biases. We propose Routing-Free MoE which eliminates any hard-coded centralized designs including external routers, Softmax,…

Machine Learning · Computer Science 2026-04-02 Yilun Liu , Jinru Han , Sikuan Yan , Volker Tresp , Yunpu Ma

The Mixture of Experts (MoE) architecture enables the scaling of Large Language Models (LLMs) to trillions of parameters by activating a sparse subset of weights for each input, maintaining constant computational cost during inference.…

Machine Learning · Computer Science 2026-01-08 Shihao Ji , Zihui Song

We propose a minimal dynamical model of adaptive softmax routing for a two-expert Mixture-of-Experts (MoE) layer. The model is obtained as a mean-field limit of a discrete reinforcement rule: the selected expert receives a small score…

Dynamical Systems · Mathematics 2026-05-29 O. M. Kiselev

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

Multi-task learning (MTL) for dense prediction has shown promising results but still faces challenges in balancing shared representations with task-specific specialization. In this paper, we introduce a novel Fine-Grained Mixture of Experts…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Yangyang Xu , Xi Ye , Duo Su

Scaling large language models has driven remarkable advancements across various domains, yet the continual increase in model size presents significant challenges for real-world deployment. The Mixture of Experts (MoE) architecture offers a…

Machine Learning · Computer Science 2025-03-18 Shwai He , Daize Dong , Liang Ding , Ang Li