The paper presents a statistical framework for Mixture-of-Experts (MoE) models, treating them as localized aggregation systems. It derives oracle risk bounds that separate approximation, expert‑learning, and router‑estimation errors for both dense and sparse routing with evolving experts. The authors also analyze how sparse Top‑K routing balances computational cost with performance, interpret gating geometrically, and explain how shared experts can capture common predictive structure while allowing routed experts to focus on local residuals.
By Siyuan He, Bokai Yang, Jie Hu, Ziwen Gao, Yuhong Yang
arXiv:2404. 09101v3 Announce Type: replace-cross Abstract: Operator-learning systems are not governed solely by total parameter count; for one query, the relevant bottleneck can be the model that must be loaded and evaluated.
By Anastasis Kratsios, Takashi Furuya, Jose Antonio Lara Benitez, Matti Lassas, Maarten de Hoop
arXiv:2610.14644v1 Announce Type: new
Abstract: Fine-grained mixture-of-experts (MoE) models commonly increase expert count by narrowing each expert, treating expert shape as a by-product of routing...
By Yaoxiang Wang, Kai Zhang, Ruobing Xie, Lanrui Wang, Guoliang Zhao, Junhui Li, Jinsong Su
The paper addresses how to combine independently fitted local Mixture-of-Experts (MoE) models from distributed datasets into a single global MoE. It proposes reducing the resulting large mixture to a K‑expert model by minimizing an expected transportation divergence that depends on covariates, using a majorization–minimization algorithm for experts and a separate fitting for the gating network. The method guarantees consistency of the aggregated estimator, requires only one one‑way communication round, and achieves accuracy close to centralized estimation while cutting computation time.
By Fa\"icel Chamroukhi, Nhat Thien Pham
arXiv:2610.07207v1 Announce Type: cross
Abstract: Mixture-of-Experts (MoE) transformers scale capacity by activating only a few experts per token, but this sparsity creates a hidden reliability probl...
By Xin Teng, Muxiao Li, Hongyi Wen
arXiv:2512. 13996v3 Announce Type: replace Abstract: Sparse Mixture-of-Experts architectures are essential for scaling model capacity efficiently, yet the standard Top-$k$ routing imposes a rigid sparsity pattern that ignores the intrinsic variance in token difficulty and layer-specific computational needs.
By Can Jin, Hongwu Peng, Mingcan Xiang, Qixin Zhang, Xiangchi Yuan, Amit Hasan, Ohi Dibua, Yifan Gong, Yan Kang, Dimitris N. Metaxas