A sparse axis-aligned dimension set causally controls output language
measured in 1 paperZhong et al. hypothesize the English-centric cross-lingual transition is governed by a small, layer-consistent set of dimensions, identified from as few as ~50 sentences by comparing corpus-mean activations [zhong-etal-2025-language-lives-in-sparse-dimensions] Keeping the top-400 dimensions (~8-10% of hidden size), cross-language overlap tracks typological similarity (Chinese/Japanese share 193/400) and the monolingual and parallel methods agree 77.6% [zhong-etal-2025-language-lives-in-sparse-dimensions] Overwriting only those dimensions at one intermediate layer with a scaled target-language mean switches the output language while preserving semantic content (BLEU) across Llama-2/3.1 and Aya23-8B [zhong-etal-2025-language-lives-in-sparse-dimensions] It outperforms neuron-level baselines by up to 12.69 points at much lower data/compute cost, holding across most intermediate layers [zhong-etal-2025-language-lives-in-sparse-dimensions]