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Solving Moe Load Imbalance in LLM Training via Optimal Transport

Researchers introduced TAOT, a topology-aware optimal transport method for dynamic expert-replica placement in Mixture-of-Experts (MoE) training, which models load imbalance as an entropy-regularized optimal transport problem with a communication-cost matrix and solves it via Sinkhorn-Knopp iterations. In experiments, TAOT achieved a 1.43x end-to-end MoE training speedup, matched or exceeded state-of-the-art balance quality, and reduced weighted expert-communication cost by up to 74%.

read2 min views5 publishedAug 17, 2026
Solving Moe Load Imbalance in LLM Training via Optimal Transport
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[Submitted on 4 Aug 2026]


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Abstract:Mixture-of-Experts (MoE) has become a key architecture for scaling large language models (LLMs), yet its dynamic routing causes severe load imbalance in expert-parallel training. Existing dynamic-replica methods copy hot experts onto idle ranks to share computation, but they optimize load balance alone and ignore the cost of moving expert weights across a multi-node topology, so the resulting cross-node communication can outweigh the balancing gain and inflate training cost. We present TAOT, a topology-aware optimal transport method for dynamic expert-replica placement. TAOT models the overload on hot ranks and the spare capacity on lightly loaded ranks as a balanced entropy-regularized optimal transport problem with a communication-cost matrix, solves it with Sinkhorn-Knopp iterations to produce rank-level flow hints, and combines integer replica matching with token assignment into an executable schedule. At the system level, it overlaps guest-weight transfer with home-expert computation to hide the communication overhead. Experiments show TAOT achieves a 1.43x end-to-end MoE training speedup, reaches balance quality competitive with or better than existing state-of-the-art methods, and attains the lowest weighted expert-communication cost across all configurations, with up to a 74% reduction.

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