Loop transformer hits mid-training bifurcation as fractal basins emerge alongside generalization

Stefania_druga · x · 2026-09-10

Researcher wgilpin0 shows that training a loop transformer on integer linear regression produces a mid-training bifurcation: the model figures out how to solve unseen examples at the same moment fractal basins appear in its loss landscape. The visualization offers a fresh lens on when and how transformers generalize.

Related event: Fractal basins trap latent reasoning: transient chaos explains overthinking(16 posts)→

Original post →

More from Research

Research channel →