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@@ -104,7 +104,7 @@ by choosing to set `u = -2v` like so:
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  In general, the way to think about these (non-orthogonal) "multiplicative-LoRAs" is as a kind of "conditional control-vector":
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- - Each vector in `lora_A` looks for a certain dirrection, and via the dot-product it generates a (signed) weighting factor that measures the similarity between the output of the `down_proj` transformation and the specific vector in `lora_A`.
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  - Each corresponding vector in `lora_B` then gets added to the hidden state / residual stream, scaled by the corresponding (signed) weighting factor.
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  So instead of having just a single vector that we add (and in essence adding a `'.bias'` weight to create an [affine transformation](https://en.wikipedia.org/wiki/Affine_transformation)), we now have many different control vectors that can be added (stored in `lora_B`), based on how well they match another set of "direction detection vectors" (stored in `lora_A`).
 
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  In general, the way to think about these (non-orthogonal) "multiplicative-LoRAs" is as a kind of "conditional control-vector":
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+ - Each vector in `lora_A` looks for a certain dirrection, and via the dot-product it generates a (signed) weighting factor that measures the similarity between the ***output*** of the `down_proj` transformation and the specific vector in `lora_A`.
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  - Each corresponding vector in `lora_B` then gets added to the hidden state / residual stream, scaled by the corresponding (signed) weighting factor.
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  So instead of having just a single vector that we add (and in essence adding a `'.bias'` weight to create an [affine transformation](https://en.wikipedia.org/wiki/Affine_transformation)), we now have many different control vectors that can be added (stored in `lora_B`), based on how well they match another set of "direction detection vectors" (stored in `lora_A`).