"Not" is Not Lost in Translation: A Causal Analysis of Negation Representations in Multilingual LLMs
Organizations: Nanyang Technological University · VinUniversity · Monash University
Abstract
Negation occurs in every language, yet its surface realization differs drastically. Despite this, multilingual large language models (LLMs) translate negation robustly, raising the question of whether they share an underlying representation of negation across languages. We study this question in six open models across English, French, Vietnamese, and Chinese, using causal interventions on a synthetic contrastive dataset and a negation translation dataset derived from FLORES-200. Across models, we find strong evidence that negation representations are causally controllable and largely shared across languages. In particular, we show that a contrastive activation direction extracted from one language can induce or remove negation in the others, and directions extracted from different languages are substantially aligned. We further find that negation is represented in sparse features: a single sparse autoencoder (SAE) feature per model suffices to control polarity across languages, while responding selectively to negated inputs. Finally, both dense and sparse interventions generalize to four additional languages and FLORES-derived sentences. We release data and code to support future work: https://anonymous.4open.science/r/negation-translation/.
Figures & tables
| Lang. | Negative | Positive |
| EN | We will not finish the chapter tonight. | We will finish the chapter tonight. |
| VI | Tôi không đeo khẩu trang khi ra ngoài. | Tôi đeo khẩu trang khi ra ngoài. |
| FR | Mon père ne taille pas le rosier. | Mon père taille le rosier. |
| ZH | 我 不 打算 骑摩托车去郊外。 | 我 打算 骑摩托车去郊外。 |
| Model | EN | VI | FR | ZH |
| Gemma-3-1B | 86.9 / 77.0 | 65.0 / 81.8 | 82.0 / 99.0 | 85.0 / 95.5 |
| Gemma-3-4B | 98.0 / 88.0 | 83.0 / 95.9 | 92.0 / 94.0 | 99.0 / 97.9 |
| Gemma-3-12B | 99.0 / 95.0 | 93.0 / 97.0 | 84.0 / 100.0 | 98.0 / 96.9 |
| Qwen3-4B | 90.9 / 92.7 | 78.0 / 95.9 | 60.0 / 98.0 | 97.0 / 95.7 |
| Qwen3.5-9B | 98.0 / 93.0 | 97.0 / 93.9 | 95.0 / 98.0 | 99.0 / 94.5 |
| Llama-3.1-8B | 94.9 / 91.0 | 86.0 / 74.5 | 87.0 / 95.0 | 95.0 / 95.8 |
| Negation Removal beyond negation markers (ZH EN) |
| Ig SRC 我们 不愿意 参加讨论。 (unwilling) |
| We are unwilling to participate… We want to participate… |
| Ig SRC 同事们 不常 点外卖。 (rarely) |
| Colleagues rarely order takeout. Colleagues often order takeout. |
| Feature | EN | VI | FR | ZH |
| G4B L4 f331 | 96.0 / 91.0 | 91.0 / 95.9 | 97.0 / 95.0 | 95.0 / 94.8 |
| Q9B L10 f43677 | 97.0 / 95.0 | 93.0 / 93.9 | 99.0 / 97.0 | 96.0 / 97.8 |
| L8B L13 f12611 | 83.8 / 91.0 | 72.0 / 57.1 | 87.0 / 92.0 | 90.0 / 82.3 |
Appendix figures & tables26 assets
Supplementary material from the paper’s appendix.
Appendix
| Model | Dim. Index | Ratio | Mass range | Raw cos. | Zeroed cos. |
| Gemma-3-1B | 1038 | 0.2– 52.7 % | 0.540 | 0.642 | |
| Gemma-3-4B | 443 | 85.5–92.6 % | 0.960 | 0.643 | |
| Gemma-3-12B | 2339 | 83.9–93.2 % | 0.965 | 0.673 | |
| Qwen3-4B | 0 | 0.1–3.8% | 0.679 | 0.677 | |
| Qwen3.5-9B | 3994 | 0.0–1.3% | 0.667 | 0.668 | |
| Llama-3.1-8B | 4055 | 0.1–1.9% | 0.658 | 0.657 |
| Model | Mean flip | Max. flip |
| Gemma-3-1B | 0.7 pp | 3 pp |
| Gemma-3-4B | 0.4 pp | 2 pp |
| Gemma-3-12B | 0.5 pp | 4 pp |
| Model | EN | VI | FR | ZH |
| Gemma-3-1B | 0 / 0 | 0 / 2 | 0 / 1 | 0 / 8 |
| Gemma-3-4B | 0 / 1 | 0 / 6 | 0 / 0 | 0 / 6 |
| Gemma-3-12B | 0 / 4 | 0 / 2 | 0 / 5 | 0 / 5 |
| Qwen3-4B | 0 / 0 | 0 / 1 | 0 / 0 | 0 / 1 |
| Qwen3.5-9B | 0 / 0 | 0 / 0 | 0 / 0 | 0 / 1 |
| Llama-3.1-8B | 0 / 0 | 0 / 0 | 0 / 0 | 0 / 1 |
| Training Activations | SAE Release | Activation | Width | Site | L0 |
| Gemma-3-4B-IT | Gemma Scope 2 1 1 footnotemark: 1 | JumpReLU | 16k | Residual stream | “big” (90-150) |
| Qwen3.5-9B-Base | Qwen SAE-Res 2 2 footnotemark: 2 | TopK | 64k | Residual stream | 100 |
| Llama-3.1-8B-Base | Llama Scope 3 3 footnotemark: 3 | JumpReLU | 32k (8 ) | Residual stream | 50 |
| Mini-minus-4 | ||
| Lang. | Affirmative | Negative |
| EN | She is at the store. | She is not at the store. |
| VI | Tôi thích phở. | Tôi không thích phở. |
| FR | Nous aimons cette chanson. | Nous n’aimons pas cette chanson. |
| ZH | 他 喜欢 跑步。 | 他 不喜欢 跑步。 |
| FLORES-minus-4 | ||
| Negation Removal (ZH EN) |
| Ig SRC 这台投影仪 不清楚 。 (unclear) |
| Ig BASE This projector is unclear . |
| Ig INT This projector is clear . |
| Ig SRC 我们 不愿意 参加讨论。 (unwilling) |
| Ig BASE We are unwilling to participate in the discussion. |
| Ig INT We want to participate in the discussion. |
| Model | Ineligible | Morph./Ant. | Flipped |
| Gemma-3-1B | 11 | 8 | 7 |
| Gemma-3-4B | 6 | 6 | 5 |
| Gemma-3-12B | 5 | 4 | 4 |
| Qwen3-4B | 12 | 11 | 5 |
| Qwen3.5-9B | 11 | 11 | 6 |
| Llama-3.1-8B | 4 | 4 | 3 |
| Model | EN Flip Rate | ||
| Gemma-3-1B | L8 | NP | 92.0 / 83.0 |
| Gemma-3-4B | L10 | NP | 99.0 / 88.0 |
| Gemma-3-12B | L17 | NP | 100.0 / 97.0 |
| Qwen3-4B | L13 | NP | 93.8 / 92.8 |
| Qwen3.5-9B | L9 | NP | 98.0 / 97.0 |
| Llama-3.1-8B | L10 | NP | 95.9 / 92.0 |
| Model | ||||
| Gemma-3-4B | L4 | 9.2 / 81.0 | 96.9 / 86.0 | 67.3 / 80.0 |
| Qwen3.5-9B | L10 | 95.0 / 95.0 | 97.0 / 95.0 | 95.0 / 92.0 |
| Llama-3.1-8B | L13 | 62.2 / 77.0 | 89.8 / 84.0 | 61.2 / 74.0 |
| Feature | EN | VI | FR | ZH |
| Gemma L4 f331 | not (132/0); cannot (18/0); the (23/3) | không (150/0); tôi (29/29); Tôi (15/15) | pas (150/0); ne (118/0); n (32/0) | 不 (78/0); 我不 (18/0); 喜欢 (11/0); 很 (3/41) |
| Qwen L10 f43677 | not (132/0); . (107/0); the (37/0) | không (150/0); đọc (13/0); . (11/0) | pas (150/0); . (125/0); ne (118/0) | 不 (37/0); 。 (18/0); 不爱 (11/0); 喜欢 (8/0) |
| Llama L13 f12611 | . (83/0); the (19/0); read (5/0); easy (2/0) | thích (3/0); đủ (1/0); nghe (1/0) | pas (69/0); . (31/0); le (9/0) | 喜欢 (18/0); 爱 (13/0); 。 (12/0); 常 (10/0) |
Cross-Lingual Consistency in Language Models
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