One figure unifies LoRA, QLoRA, OFT geometry — author notes Claude wrote most of the paper

aryaman2020 · x · 2026-10-15

aryaman shared a paper figure calling it "some form of art," noting Claude wrote most of the paper. The figure places popular PEFT methods in one geometric picture: LoRA is a cone with apex at the pretrained weights θ₀; QLoRA shifts the apex to κθ₀ via quantization; Prefix tuning's path misses θ₀; BitFit moves along a coordinate line; OFT is the orbit of θ₀ under rotations; (IA)³ traces a torus orbit through 0 and θ₀. A single elegant diagram unifying the math behind mainstream fine-tuning methods.

Related event: Category Theory Unifies Hundreds of PEFT Methods(2 posts)→

Original post →

More from Fun

Fun channel →