arXiv:2601.21349cs.LGcs.AI2026-01

提出L2R路由框架,提升专家模型的路由稳定性和专家区分度。

L2R: Low-Rank and Lipschitz-Controlled Routing for Mixture-of-Experts

  • 在低秩潜空间中进行路由,结合饱和内积评分控制函数平滑性
  • 在语言和视觉MoE任务中均显著改善路由几何与模型性能
  • 适合追求路由稳定性与专家表达力的大型模型研究者

Mixture-of-Experts(MoE)模型通过条件激活少量专家来扩展神经网络,其中路由器在决定专家专业化和整体性能中起核心作用。然而,许多现代MoE系统仍采用原始高维表示空间中的线性路由器,导致表示不匹配、角度集中和尺度敏感评分等问题,共同削弱了路由可区分性与专家稳定专业化。本文提出低秩与Lipschitz可控路由(L2R),一种统一的路由框架,同时重塑路由空间与评分几何。L2R在共享低秩潜路由空间中执行专家分配,并引入饱和内积评分(SIPS)以显式控制路由函数的Lipschitz性质,实现更平滑稳定的路由几何。此外,L2R引入参数高效的多锚点路由机制以增强专家表达能力。在基于OLMoE的语言MoE模型和ImageNet上的视觉MoE设置中进行的大量实验表明,L2R持续改进路由几何、专家区分度与整体模型性能。代码将公开。

原文摘要 · Abstract (English)

Mixture-of-Experts (MoE) models scale neural networks by conditionally activating a small subset of experts, where the router plays a central role in determining expert specialization and overall model performance. However, many modern MoE systems still adopt linear routers in raw high-dimensional representation spaces, where representation mismatch, angular concentration, and scale-sensitive scoring can jointly undermine routing discriminability and stable expert specialization. In this work, we propose Low-rank & Lipschitz-controlled Routing (L2R), a unified routing framework that reshapes both the routing space and scoring geometry. L2R performs expert assignment in a shared low-rank latent routing space and introduces Saturated Inner-Product Scoring (SIPS) to explicitly control the Lipschitz behavior of routing functions, yielding smoother and more stable routing geometry. In addition, L2R incorporates a parameter-efficient multi-anchor routing mechanism to enhance expert expressiveness. Extensive experiments on an OLMoE-based language MoE model and a vision MoE setting on ImageNet demonstrate that L2R consistently improves routing geometry, expert discrimination, and overall model performance. Code will be released.

MoE路由优化低秩Lipschitz

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