Distributionally Robust Mixture-of-Experts Training
Read the original on arXiv AI →The Flow has not summarised this story yet — read it at arXiv AI.
The Flow has not summarised this story yet — read it at arXiv AI.
The paper investigates a dense analogue of Sparse Mixture-of-Experts (MoE) models by using $K$ SwiGLU experts that are all active for every token and combined via a softmax gate, keeping the total feed‑forward network (FFN) width fixed. Validation loss shows a non‑monotonic relationship with $K$: $K=2$ slightly improves performance over the single‑expert baseline, while $K=4$ and $K=6$ degrade it. The study also finds that the gating mechanism remains largely soft and balanced, except for a near one‑hot routing in the first layer of the $K=4$ model, which is functionally important as forcing uniform routing increases loss significantly.
MetaNet is a support‑set controller that predicts, for each layer of a Mixture‑of‑Experts model, an expert‑retention threshold and a bounded routing bias while keeping the backbone, experts, and router frozen. On DeepSeek‑MoE‑16B‑Chat, MetaNet offers a tunable trade‑off between accuracy and expert activation: a conservative setting activates 3.61 experts on average (40% fewer than a fixed k=6) with comparable MMLU accuracy, whereas an aggressive setting activates only 2.28 experts (62% fewer) with a modest accuracy drop. The MMLU‑trained controller also transfers to C‑Eval, activating 2.90 experts on average (52% fewer than fixed k=6) at 0.386 accuracy.
The paper examines how expert pruning—removing low‑importance experts in Mixture‑of‑Experts models—fails when the router is over‑dispersed, a condition caused by aggressive load‑balancing that spreads tokens nearly uniformly across experts. In this regime, traditional importance signals from router probabilities collapse, making perplexity an unreliable predictor of downstream accuracy; for example, the lowest‑perplexity pruning on gpt‑oss‑20B harms mathematical reasoning while the highest‑perplexity pruning preserves it. To address this, the authors introduce Minimax Expert Score Allocation (MESA), a domain‑aware method that iteratively boosts scores for the most affected domain, achieving minimal worst‑case degradation across domains and outperforming baseline pruning strategies on multiple benchmarks while reducing memory usage.
The paper introduces ID Balancing, an Integral‑Derivative controller that improves expert load balance in extremely sparse Mixture‑of‑Experts (MoE) models. By scaling its integral term with load error and activating the derivative term only when imbalance worsens, ID Balancing achieves over 50% reduction in worst‑case backbone MaxVio and 12% reduction in training‑average backbone MinVio compared to leading baselines, while preserving language‑modeling performance across various routing settings. The method’s benefits grow with increased sparsity, making it a promising approach for scaling larger MoE models.
arXiv:2607. 24665v1 Announce Type: cross Abstract: Modern large language models scale successfully by pairing capacity growth with efficiency, keeping per-token and deployment costs under control as capacity grows.
arXiv:2609. 04575v1 Announce Type: cross Abstract: Modern fine-grained Mixture-of-Experts (MoE) models route each token to a small number of experts and renormalize their router probabilities.