SpinQuant, when rotations are worth learning
Zechun Liu et al., 2024 — ICLR 2025
QuIP proved random rotations make models quantizable. SpinQuant asks the obvious next question: why random? It parameterizes the rotations, descends the quantized network's own loss on the orthogonal manifold for 100 steps, and the answer is decisive, especially at 70B where random rotations can collapse. This is also the method Meta actually ships on-device. I audited the repo, verified the manifold math numerically, and reproduced learned-beats-random in miniature.