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We consider a general class of nonsmooth optimal control problems with partial differential equation (PDE) constraints, which are very challenging due to its nonsmooth objective functionals and the resulting high-dimensional and…

Optimization and Control · Mathematics 2023-07-26 Yongcun Song , Xiaoming Yuan , Hangrui Yue

Mixture-of-Experts (MoE) architectures enable efficient scaling of large language models by activating only a subset of parameters per input. However, existing MoE models suffer from two critical limitations: (1) inefficient token-to-expert…

Computation and Language · Computer Science 2025-10-10 Jing Li , Zhijie Sun , Dachao Lin , Xuan He , Binfan Zheng , Yi Lin , Rongqian Zhao , Xin Chen

Mixture-of-Experts (MoE) models have become a key approach for scaling large language models efficiently by activating only a subset of experts during training and inference. Typically, the number of activated experts presents a trade-off:…

Machine Learning · Computer Science 2025-09-04 Yifei He , Yang Liu , Chen Liang , Hany Hassan Awadalla

Optimizing various wireless user tasks poses a significant challenge for networking systems because of the expanding range of user requirements. Despite advancements in Deep Reinforcement Learning (DRL), the need for customized optimization…

Networking and Internet Architecture · Computer Science 2024-02-16 Hongyang Du , Guangyuan Liu , Yijing Lin , Dusit Niyato , Jiawen Kang , Zehui Xiong , Dong In Kim

Sparse Mixture of Experts (MoE) models offer a scalable and efficient architecture for training large neural networks by activating only a subset of parameters ("experts") for each input. A learned router computes a distribution over these…

Machine Learning · Computer Science 2025-10-14 Nabil Omi , Siddhartha Sen , Ali Farhadi

Mixture-of-Experts (MoE), a conditional computation architecture, achieved promising performance by scaling local module (i.e. feed-forward network) of transformer. However, scaling the cross-token module (i.e. self-attention) is…

Machine Learning · Computer Science 2022-01-17 Yuxuan Lou , Fuzhao Xue , Zangwei Zheng , Yang You

Sparsely-gated Mixture of Experts networks (MoEs) have demonstrated excellent scalability in Natural Language Processing. In Computer Vision, however, almost all performant networks are "dense", that is, every input is processed by every…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Carlos Riquelme , Joan Puigcerver , Basil Mustafa , Maxim Neumann , Rodolphe Jenatton , André Susano Pinto , Daniel Keysers , Neil Houlsby

PDE-Constrained Optimization (PDECO) problems can be accelerated significantly by employing gradient-based methods with surrogate models like neural operators compared to traditional numerical solvers. However, this approach faces two key…

Machine Learning · Computer Science 2025-06-17 Ze Cheng , Zhuoyu Li , Xiaoqiang Wang , Jianing Huang , Zhizhou Zhang , Zhongkai Hao , Hang Su

Mixture-of-Experts (MoE) architectures achieve parameter efficiency through conditional computation, yet contemporary designs suffer from two fundamental limitations: structural parameter isolation that causes catastrophic forgetting, and…

Machine Learning · Computer Science 2026-01-21 Yuxing Gan , Ziyu Lei

Graph neural networks (GNNs) have found extensive applications in learning from graph data. However, real-world graphs often possess diverse structures and comprise nodes and edges of varying types. To bolster the generalization capacity of…

Machine Learning · Computer Science 2023-10-18 Haotao Wang , Ziyu Jiang , Yuning You , Yan Han , Gaowen Liu , Jayanth Srinivasa , Ramana Rao Kompella , Zhangyang Wang

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) architectures have become standard in large language models, yet many of their core design choices - expert count, granularity, shared experts, load balancing, token dropping - have only been studied one or two at a…

Machine Learning · Computer Science 2026-05-13 Margaret Li , Sneha Kudugunta , Danielle Rothermel , Luke Zettlemoyer

Large Language Models (LLMs) have achieved remarkable results. However, existing models are expensive to train and deploy, and it is also difficult to expand their knowledge beyond pre-training data without forgetting previous knowledge.…

Computation and Language · Computer Science 2023-09-13 Yikang Shen , Zheyu Zhang , Tianyou Cao , Shawn Tan , Zhenfang Chen , Chuang Gan

Mixture-of-Experts (MoE) enhances model performance while maintaining computational efficiency, making it well-suited for large-scale applications. Conventional mixture-of-experts (MoE) architectures suffer from suboptimal coordination…

Machine Learning · Computer Science 2025-09-24 Yujiao Yang , Jing Lian , Linhui Li

Mixture-of-Experts (MoE) has garnered significant attention for its ability to scale up neural networks while utilizing the same or even fewer active parameters. However, MoE does not alleviate the massive memory requirements of networks,…

Machine Learning · Computer Science 2026-04-21 Mingyu Cao , Gen Li , Jie Ji , Jiaqi Zhang , Ajay Jaiswal , Li Shen , Xiaolong Ma , Shiwei Liu , Lu Yin

Learning underlying dynamics from data is important and challenging in many real-world scenarios. Incorporating differential equations (DEs) to design continuous networks has drawn much attention recently, however, most prior works make…

Machine Learning · Computer Science 2023-02-03 Yesom Park , Jaemoo Choi , Changyeon Yoon , Chang hoon Song , Myungjoo Kang

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…

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

Mixture-of-experts (MoE) architectures enable trillion-parameter LLMs with sparsely activated experts. Expert parallelism (EP) is a widely adopted MoE training strategy, but it suffers from severe all-to-all communication bottlenecks, which…

Neural networks have been applied to control problems, typically by combining data, differential equation residuals, and objective costs in the training loss or by incorporating auxiliary architectural components. Instead, we propose a…

Optimization and Control · Mathematics 2026-04-10 Oliver G. S. Lundqvist , Fabricio Oliveira