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A lossless coordinate transformation, CBLL, makes every hidden axis of Transformer LLMs independently measurable and controllable. On Qwen 2.5 0.5B, zeroing axis 62 alone collapses MMLU from 47.50% to 21.25%. The method works across RMSNorm and LayerNorm families, including SmolLM2, Pythia, and OLMoE.
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