How Model Growth, Recursion, and Boundary Operators Influence Scaling Exponents
Zixi Chen, Akshay Vegesna, Samip Dahal, Andrew Gordon Wilson
arXiv:2609.19107v1Scaling laws tell us how much better models get as we spend more compute, but they usually assume the architecture stays fixed. This paper asks a more basic question: can the architecture itself change the scaling exponent? The authors study looped transformers, where a model can reuse the same block multiple times, and related designs like model growth and boundary operators. Their key finding is that these interventions can make performance improve much faster with added compute than standard transformers do. In some settings, a 7.4 billion parameter growth model matches GPT-3 13B on CORE using about 20 times less compute. The broader message is important: efficiency is not only about bigger models or more data, but about making computation deeper and more reusable. If these results hold more widely, they could reshape how we think about training large language models, especially when compute is the main constraint.
Also spotted that day
Previous daily papers