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Mixture-of-Experts (MoE) architectures are widely used for efficiency and conditional computation, but their effect on the geometry of learned functions and representations remains poorly understood. We study MoEs through a geometric lens,…

Machine Learning · Computer Science 2026-02-19 Feilong Liu

Sparse Mixture-of-Experts (MoE) models scale parameters while fixing active computation per token, but the specialization of individual experts remains opaque. In a companion paper we showed that routing topology is quality-neutral: five…

Artificial Intelligence · Computer Science 2026-04-17 Ivan Ternovtsii , Yurii Bilak

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

Sparse Mixture-of-Experts (MoE) models scale capacity by routing each token to a small subset of experts. However, their routers exhibit a fundamental trade-off: strong load balancing can suppress expert specialization, while aggressive…

Machine Learning · Computer Science 2026-05-12 Gleb Molodtsov , Alexander Miasnikov , Aleksandr Beznosikov

Mixture of Experts (MoEs) are now ubiquitous in large language models, yet the mechanisms behind their "expert specialization" remain poorly understood. We show that, since MoE routers are linear maps, hidden state similarity is both…

Artificial Intelligence · Computer Science 2026-04-14 Xi Wang , Soufiane Hayou , Eric Nalisnick

The interpretability of Mixture-of-Experts (MoE) models, especially those with heterogeneous designs, remains underexplored. Existing attribution methods for dense models fail to capture dynamic routing-expert interactions in sparse MoE…

Computation and Language · Computer Science 2025-06-12 Junzhuo Li , Bo Wang , Xiuze Zhou , Peijie Jiang , Jia Liu , Xuming Hu

While Mixture-of-Experts (MoE) architectures define the state-of-the-art, their theoretical success is often attributed to heuristic efficiency rather than geometric expressivity. In this work, we present the first analysis of MoE through…

Machine Learning · Computer Science 2026-05-07 Ye Su , Huayi Tang , Zixuan Gong , Yong Liu

The sparse Mixture of Experts(MoE) architecture has evolved as a powerful approach for scaling deep learning models to more parameters with comparable computation cost. As an important branch of large language model(LLM), MoE model only…

Machine Learning · Computer Science 2026-02-10 Dong Pan , Bingtao Li , Yongsheng Zheng , Jiren Ma , Victor Fei

Sparse Mixture-of-Experts (MoE) architectures route each token through a subset of experts at each layer independently. We propose viewing MoE computation through the lens of \emph{expert paths} -- the sequence of expert selections a token…

Machine Learning · Computer Science 2026-04-07 Zijin Gu , Tatiana Likhomanenko , Vimal Thilak , Jason Ramapuram , Navdeep Jaitly

Mixture-of-Experts (MoE) architectures scale Large Language Models via expert specialization induced by conditional computation. In practice, however, expert specialization often fails: some experts become functionally similar, while others…

Understanding the internal organization of neural networks remains a fundamental challenge in deep learning interpretability. We address this challenge by exploring a novel Sparse Mixture of Experts Variational Autoencoder (SMoE-VAE)…

Machine Learning · Computer Science 2025-09-15 Strahinja Nikolic , Ilker Oguz , Demetri Psaltis

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 networks (MoEs) have demonstrated remarkable efficiency in modern deep learning. Despite their empirical success, the theoretical foundations underlying their ability to model complex tasks remain poorly understood. In…

Machine Learning · Computer Science 2026-02-19 Mingze Wang , Weinan E

The Mixture-of-Experts (MoE) model uses a set of expert networks that specialize on subsets of a dataset under the supervision of a gating network. A common issue in MoE architectures is ``expert collapse'' where overlapping class…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Abien Fred Agarap , Arnulfo P. Azcarraga

Mixture-of-Experts models rely on learned routers to assign tokens to experts, yet standard softmax gating provides no principled mechanism to control the tradeoff between sparsity and utilization. We propose Grassmannian MoE (GrMoE), a…

Machine Learning · Computer Science 2026-02-23 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

Mixture-of-Experts (MoE) represents an ensemble methodology that amalgamates predictions from several specialized sub-models (referred to as experts). This fusion is accomplished through a router mechanism, dynamically assigning weights to…

Machine Learning · Computer Science 2024-03-27 Jinze Zhao , Peihao Wang , Zhangyang Wang

Larger networks generally have greater representational power at the cost of increased computational complexity. Sparsifying such networks has been an active area of research but has been generally limited to static regularization or…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Xin Wang , Fisher Yu , Lisa Dunlap , Yi-An Ma , Ruth Wang , Azalia Mirhoseini , Trevor Darrell , Joseph E. Gonzalez

Mixture-of-Experts (MoE) models are often interpreted by analysing which categories are routed to which experts. However, routing alone does not reveal what each expert actually encodes. We train sparsely-gated convolutional MoE models with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Gene Tangtartharakul , Katherine R. Storrs

Sparsely activated Mixture-of-Experts (MoE) models effectively increase the number of parameters while maintaining consistent computational costs per token. However, vanilla MoE models often suffer from limited diversity and specialization…

Machine Learning · Computer Science 2025-07-11 Lei Kang , Jia Li , Mi Tian , Hua Huang

Sparse Mixture-of-Experts (MoE) architectures are increasingly popular for frontier large language models (LLM) but they introduce training challenges due to routing complexity. Fully leveraging parameters of an MoE model requires all…

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