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Empirical scaling laws have driven the evolution of large language models (LLMs), yet their coefficients shift whenever the model architecture or data pipeline changes. Mixture-of-Experts (MoE) models, now standard in state-of-the-art…

Machine Learning · Computer Science 2026-03-03 Taishi Nakamura , Satoki Ishikawa , Masaki Kawamura , Takumi Okamoto , Daisuke Nohara , Jun Suzuki , Rio Yokota

Scaling laws for Large Language Models govern macroscopic resource allocation, yet translating them into precise Mixture-of-Experts (MoE) architectural configurations remains an open problem due to the combinatorially vast design space.…

Machine Learning · Computer Science 2026-03-24 Weilin Wan , Jingtao Han , Weizhong Zhang , Cheng Jin

We explore the impact of parameter sparsity on the scaling behavior of Transformers trained on massive datasets (i.e., "foundation models"), in both vision and language domains. In this setting, we identify the first scaling law describing…

Machine Learning · Computer Science 2023-09-18 Elias Frantar , Carlos Riquelme , Neil Houlsby , Dan Alistarh , Utku Evci

Mixture of Experts (MoE) models have become central to scaling large language models, yet their mechanistic differences from dense networks remain poorly understood. Previous work has explored how dense models use \textit{superposition} to…

Machine Learning · Computer Science 2025-12-29 Marmik Chaudhari , Jeremi Nuer , Rome Thorstenson

Mixture-of-Experts (MoE) models have become the consensus approach for enabling parameter-efficient scaling and cost-effective deployment in large language models. However, existing scaling laws for dense models are inapplicable to MoE…

Sparse Mixture-of-Experts (MoE) models offer a powerful way to scale model size without increasing compute, as per-token FLOPs depend only on k active experts rather than the total pool of E experts. Yet, this asymmetry creates an MoE…

Machine Learning · Computer Science 2026-05-15 Linghao Jin , Chufan Shi , Huijuan Wang , Nuan Wen , Zhengzhong Liu , Eric Xing , Xuezhe Ma

The sparse Mixture-of-Experts (MoE) architecture is increasingly favored for scaling Large Language Models (LLMs) efficiently, but it depends on heterogeneous compute and memory resources. These factors jointly affect system Cost, Accuracy,…

The sparse Mixture-of-Experts (MoE) architecture is increasingly favored for scaling Large Language Models (LLMs) efficiently, but it depends on heterogeneous compute and memory resources. These factors jointly affect system Cost, Accuracy,…

Sparse Mixture-of-Experts (SMoE) architectures have gained prominence for their ability to scale neural networks, particularly transformers, without a proportional increase in computational cost. Despite their success, their role in…

Modern Mixture-of-Experts (MoE) language models are designed based on total parameters (memory footprint) and active parameters (inference cost). However, we find these two factors alone are insufficient to describe an optimal architecture.…

Computation and Language · Computer Science 2026-01-14 Seng Pei Liew , Kenta Shinzato , Yuyang Dong

Mixture of Experts (MoE) models have emerged as a primary solution for reducing the computational cost of Large Language Models. In this work, we analyze their scaling properties, incorporating an expanded range of variables. Specifically,…

Mixture of Experts (MoE) architectures have significantly increased computational efficiency in both research and real-world applications of large-scale machine learning models. However, their scalability and efficiency under memory…

Mixture of Experts layers (MoEs) enable efficient scaling of language models through conditional computation. This paper presents a detailed empirical study of how autoregressive MoE language models scale in comparison with dense models in…

Mixture-of-Experts (MoE) language models dramatically expand model capacity and achieve remarkable performance without increasing per-token compute. However, can MoEs surpass dense architectures under strictly equal resource constraints --…

Computation and Language · Computer Science 2026-05-19 Houyi Li , Ka Man Lo , Shijie Xuyang , Ziqi Wang , Wenzhen Zheng , Haocheng Zhang , Zhao Li , Shuigeng Zhou , Xiangyu Zhang , Daxin Jiang

The recent rapid progress in (self) supervised learning models is in large part predicted by empirical scaling laws: a model's performance scales proportionally to its size. Analogous scaling laws remain elusive for reinforcement learning…

Mixture of Experts (MoE) architecture has become the standard for state-of-the-art large language models, owing to its computational efficiency through sparse expert activation. However, sparsity through finer expert granularity is becoming…

Machine Learning · Computer Science 2026-05-12 Jongseok Park , Sunga Kim , Zhenyu Gu , Ion Stoica , Alvin Cheung

The Mixture of Experts (MoE) models are an emerging class of sparsely activated deep learning models that have sublinear compute costs with respect to their parameters. In contrast with dense models, the sparse architecture of MoE offers…

Recently, inspired by the concept of sparsity, Mixture-of-Experts (MoE) models have gained increasing popularity for scaling model size while keeping the number of activated parameters constant. In this study, we thoroughly investigate the…

Computation and Language · Computer Science 2024-11-26 Xiaoye Qu , Daize Dong , Xuyang Hu , Tong Zhu , Weigao Sun , Yu Cheng

Mixture-of-Experts (MoE) models can achieve promising results with outrageous large amount of parameters but constant computation cost, and thus it has become a trend in model scaling. Still it is a mystery how MoE layers bring quality…

Machine Learning · Computer Science 2021-08-10 An Yang , Junyang Lin , Rui Men , Chang Zhou , Le Jiang , Xianyan Jia , Ang Wang , Jie Zhang , Jiamang Wang , Yong Li , Di Zhang , Wei Lin , Lin Qu , Jingren Zhou , Hongxia Yang

Mixture-of-Experts (MoE) has become a dominant architecture for scaling Large Language Models (LLMs) efficiently by decoupling total parameters from computational cost. However, this decoupling creates a critical challenge: predicting the…

Computation and Language · Computer Science 2025-10-22 Changxin Tian , Kunlong Chen , Jia Liu , Ziqi Liu , Zhiqiang Zhang , Jun Zhou
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