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@@ -88,7 +88,7 @@ license: apache-2.0
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  #### 7. Finally, we project the "direction" to reorient and scale as necessary:
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- - There is no reason the ```eigenvectors``` point in the direction we want, so 50% of the time we have to flip all the signs by [projecting](https://en.wikipedia.org/wiki/Projection_(linear_algebra)) of our (differenced) "desired" dataset on to the direction and then testing the sign of the mean.
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  - Due to the way the LLMs work via the "residual stream", the hidden states tend to get larger and larger as the layers progress, so to normalize this we also scale by the magnitude of the mean [projection](https://en.wikipedia.org/wiki/Projection_(linear_algebra)) of our (differenced) "desired" dataset.
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  **NOTES**:
 
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  #### 7. Finally, we project the "direction" to reorient and scale as necessary:
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+ - There is no reason the ```eigenvectors``` point in the direction we want, so 50% of the time we have to flip all the signs by [projecting](https://en.wikipedia.org/wiki/Projection_(linear_algebra)) our (differenced) "desired" dataset on to the (unit norm) direction and then testing the sign of the mean.
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  - Due to the way the LLMs work via the "residual stream", the hidden states tend to get larger and larger as the layers progress, so to normalize this we also scale by the magnitude of the mean [projection](https://en.wikipedia.org/wiki/Projection_(linear_algebra)) of our (differenced) "desired" dataset.
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  **NOTES**: