Scaling Laws for Looped Mixture of Experts
Yanbei Chen, Anirudh Goyal, Raghuraman Krishnamoorthi
arXiv:2609.40316v1Today’s standout paper is about a new way to predict and design efficient language models that mix two powerful ideas: recurrence and sparsity. Looped transformers reuse the same blocks multiple times, which increases depth without adding many parameters. Mixture-of-Experts models, or MoEs, activate only a small subset of experts per token, which boosts total capacity without raising active compute too much. The problem is that we’ve mostly studied these scaling tricks separately, so we lack a unified rule for how they interact. The authors introduce Loop Scaling Laws, a framework that models model size, training data, recurrence, and expert sparsity together. Their key insight is that looping gives more benefit when the model is sparse, and the resulting law predicts held-out loss more accurately than prior approaches. Why does this matter? It gives practitioners a principled way to choose architectures under compute and memory limits, and it shows that combining looping with MoE can improve reasoning performance at large scale, including trillion-token training runs.
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