Emergence of Frontier Superposition: M\"obius attractor and Cascade Supervision

In three linesTheoretical paper on emergence of superposition in Transformers for depth reasoning. Identifies a Möbius attractor under S_n symmetry and Cascade Supervision enabling gradient descent to converge to equal-weight superposition state on Erdős-Rényi graphs. Analytical predictions validated experimentally (final cosine 0.37 vs 0.69).

Summary generated by Claude — human-verified