Apr 22, 2026·Formal Sciences·260423.0005
Convergent Evolution: How Different Language Models Learn Similar Number Representations
Deqing Fu, Tianyi Zhou, Mikhail Belkin, Vatsal Sharan +1 more
This paper reveals that different language model architectures (Transformers, RNNs, LSTMs) converge on learning similar periodic number representations with periods at 2, 5, and 10, despite being trained differently. The authors identify a two-tiered hierarchy of these features and explain when models learn geometrically separable representations useful for modular arithmetic.