arXiv Machine Learning By Sihan Wang, Jiayi Zhao, Qingyan Cao, Hongbo Yao, Lin Shu

FishBack: Pullback Fisher Geometry for Optimal Activation Steering in Transformers

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FishBack introduces a pullback Fisher geometry approach for activation steering in transformers, challenging the common Euclidean assumption of intermediate activation spaces. By deriving a closed‑form steering direction based on the Fisher information metric of the softmax layer, the method achieves target concept changes with minimal off‑target distortion, especially in early and middle layers. Experiments on GPT‑2 Small, Llama‑3‑8B, and Qwen3‑8B demonstrate significant reductions in off‑target KL divergence compared to existing steering baselines.

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