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@@ -85,7 +85,7 @@ but as explained in [this conceptual guide](https://github.com/huggingface/peft/
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  ![image/png](https://cdn-uploads.huggingface.co/production/uploads/65995c45539c808e84c38bf1/AQ_m88vjvYXZwesZxrJDj.png)
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- all 3 methods *deliberately* maintain [orthogonality](https://en.wikipedia.org/wiki/Orthogonal_matrix), and thus are more restrictive in the types of transformations they can perform (ie: [Rotations](https://en.wikipedia.org/wiki/Rotation) and/or [Improper Rotations](https://en.wikipedia.org/wiki/Improper_rotation) only; with no scaling or sheer transformations possible...).
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  For example, these can't perform the orthogonal projection needed for ["abliteration"](https://www.lesswrong.com/posts/jGuXSZgv6qfdhMCuJ/refusal-in-llms-is-mediated-by-a-single-direction):
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  ![image/png](https://cdn-uploads.huggingface.co/production/uploads/65995c45539c808e84c38bf1/AQ_m88vjvYXZwesZxrJDj.png)
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+ all 3 methods *deliberately* maintain [orthogonality](https://en.wikipedia.org/wiki/Orthogonal_matrix) (as a form of [regularization](https://en.wikipedia.org/wiki/Regularization_(mathematics); likely [more suited to image generation models than LLMs](https://arxiv.org/abs/2405.17484)), and thus are more restrictive in the types of transformations they can perform (ie: [Rotations](https://en.wikipedia.org/wiki/Rotation) and/or [Improper Rotations](https://en.wikipedia.org/wiki/Improper_rotation) only; with no scaling or sheer transformations possible...).
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  For example, these can't perform the orthogonal projection needed for ["abliteration"](https://www.lesswrong.com/posts/jGuXSZgv6qfdhMCuJ/refusal-in-llms-is-mediated-by-a-single-direction):
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