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While scaling laws for large language models (LLMs) during pre-training have been extensively studied, their behavior under reinforcement learning (RL) post-training remains largely unexplored. This paper presents a systematic empirical…

Mixture of Experts (MoE) models with conditional execution of sparsely activated layers have enabled training models with a much larger number of parameters. As a result, these models have achieved significantly better quality on various…

Computation and Language · Computer Science 2022-11-21 Young Jin Kim , Rawn Henry , Raffy Fahim , Hany Hassan Awadalla

The emergence of large-scale Mixture of Experts (MoE) models represents a significant advancement in artificial intelligence, offering enhanced model capacity and computational efficiency through conditional computation. However, deploying…

Machine Learning · Computer Science 2025-01-23 Jiacheng Liu , Peng Tang , Wenfeng Wang , Yuhang Ren , Xiaofeng Hou , Pheng-Ann Heng , Minyi Guo , Chao Li

The feedforward (FFW) layers in standard transformer architectures incur a linear increase in computational costs and activation memory as the hidden layer width grows. Sparse mixture-of-experts (MoE) architectures have emerged as a viable…

Machine Learning · Computer Science 2024-07-08 Xu Owen He

Adversarial robustness is a key desirable property of neural networks. It has been empirically shown to be affected by their sizes, with larger networks being typically more robust. Recently, Bubeck and Sellke proved a lower bound on the…

Machine Learning · Computer Science 2022-10-20 Joan Puigcerver , Rodolphe Jenatton , Carlos Riquelme , Pranjal Awasthi , Srinadh Bhojanapalli

Real-world model deployment across multiple domains requires multimodal models to operate under two complementary regimes: (1) multi-task pretraining, tasks are co-available at design time where related tasks could borrow representational…

Machine Learning · Computer Science 2026-05-12 Xing Han , Shravan Chaudhari , Tanvi Ranade , Rama Chellappa , Suchi Saria

Mixture-of-Experts (MoE) models are widely used to scale language models, yet their expert routing behavior and adaptation in a multilingual setting remain underexplored. In this work, we study multilingual routing dynamics during continual…

Computation and Language · Computer Science 2026-05-29 Aditi Khandelwal , Marius Mosbach , Verna Dankers , Siva Reddy , Golnoosh Farnadi

Solving multi-objective optimization problems for large deep neural networks is a challenging task due to the complexity of the loss landscape and the expensive computational cost of training and evaluating models. Efficient Pareto front…

Machine Learning · Computer Science 2024-06-17 Anke Tang , Li Shen , Yong Luo , Shiwei Liu , Han Hu , Bo Du

As the capabilities of large language models (LLMs) continue to expand, aligning these models with human values remains a significant challenge. Recent studies show that reasoning abilities contribute significantly to model safety, while…

Computation and Language · Computer Science 2025-06-03 Zhili Liu , Yunhao Gou , Kai Chen , Lanqing Hong , Jiahui Gao , Fei Mi , Yu Zhang , Zhenguo Li , Xin Jiang , Qun Liu , James T. Kwok

Mixture of experts (MoE) model is a statistical machine learning design that aggregates multiple expert networks using a softmax gating function in order to form a more intricate and expressive model. Despite being commonly used in several…

Machine Learning · Statistics 2024-06-25 Huy Nguyen , Nhat Ho , Alessandro Rinaldo

Sparse Mixture of Experts (SMoE) enables efficient training of large language models by routing input tokens to a select number of experts. However, training SMoE remains challenging due to the issue of representation collapse. Recent…

Computation and Language · Computer Science 2025-04-01 Giang Do , Hung Le , Truyen Tran

Recent work has identified simple empirical scaling laws for language models, linking compute budget, dataset size, model size, and autoregressive modeling loss. The validity of these simple power laws across orders of magnitude in model…

Machine Learning · Statistics 2021-09-27 Amélie Chatelain , Amine Djeghri , Daniel Hesslow , Julien Launay , Iacopo Poli

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

Reinforcement learning (RL) has equipped LLM agents with a strong ability to solve complex tasks. However, existing RL methods normally use a \emph{single} policy network, causing \emph{simplicity bias} where simple tasks occupy most…

Artificial Intelligence · Computer Science 2026-05-20 Shengtian Yang , Yu Li , Shuo He , Yewen Li , Qingpeng Cai , Peng Jiang , Lei Feng

Sparsely Mixture of Experts (MoE) has received great interest due to its promising scaling capability with affordable computational overhead. MoE converts dense layers into sparse experts, and utilizes a gated routing network to make…

Computation and Language · Computer Science 2022-07-20 Yuan Xie , Shaohan Huang , Tianyu Chen , Furu Wei

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

Mixture-of-Experts (MoE) models can scale parameter capacity by routing each token to a subset of experts through a learned gate function. While conditional routing reduces training costs, it shifts the burden on inference memory: expert…

Machine Learning · Computer Science 2025-10-07 Rana Shahout , Colin Cai , Yilun Du , Minlan Yu , Michael Mitzenmacher

Sparse mixture of experts (SMoE) offers an appealing solution to scale up the model complexity beyond the mean of increasing the network's depth or width. However, we argue that effective SMoE training remains challenging because of the…

Artificial Intelligence · Computer Science 2025-05-20 Nam V. Nguyen , Huy Nguyen , Quang Pham , Van Nguyen , Savitha Ramasamy , Nhat Ho

We study empirical scaling laws for language model merging measured by cross-entropy. Despite its wide practical use, merging lacks a quantitative rule that predicts returns as we add experts or scale the model size. We identify a compact…

Artificial Intelligence · Computer Science 2026-05-12 Yuanyi Wang , Yanggan Gu , Yiming Zhang , Qi Zhou , Zhaoyi Yan , Congkai Xie , Xinyao Wang , Jianbo Yuan , Hongxia Yang

Mixture-of-Experts (MoE) has emerged as an effective approach to reduce the computational overhead of Transformer architectures by sparsely activating a subset of parameters for each token while preserving high model capacity. This paradigm…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Dohwan Ko , Jinyoung Park , Seoung Choi , Sanghyeok Lee , Seohyun Lee , Hyunwoo J. Kim
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