Re:The Fractured Entangled Representation Hypothesis
by akarshkumar0101 on Tuesday May 20, 2025 @02:56PM
(#44044701)
We mention this issue exactly in the fourth paragraph in Section 4 and in Appendix F!
Re:The Fractured Entangled Representation Hypothesis
by goldemerald on Tuesday May 20, 2025 @03:07PM
(#44044816)
That is addressing the incomprehensibility of PCA and applying a transformation to the entire latent space. I've never found PCA to be meaningful for deep learning. As far as I can tell, polysemous issue with neurons cannot be addressed with a single linear transformation. There is no sparse analysis (via linear probes or SAEs) and hence the unaddressed issue.
Re:The Fractured Entangled Representation Hypothesis
by ipunchghosts on Tuesday May 20, 2025 @02:40PM
(#44044548)
Is what your saying imply that there is a rotation matrix you can apply to each activation output to make it less entangled?
Re:The Fractured Entangled Representation Hypothesis
by goldemerald on Tuesday May 20, 2025 @02:47PM
(#44044609)
Not quite. For an underlying semantic concept (e.g., smiling face), you can go from a basis vector [0,1,0,...,0] to the original latent space via a single rotation. You could then induce said concept by manipulating the original latent point by traversing along that linear direction.
Re:The Fractured Entangled Representation Hypothesis
by ipunchghosts on Tuesday May 20, 2025 @02:52PM
(#44044657)
I think we are saying the same thing. Please correct me though where I am wrong. You could look at the maps in some way but instead of the basis being one hot dimensions (the standard basis), it could be rotated.
Re:The Fractured Entangled Representation Hypothesis
by akarshkumar0101 on Tuesday May 20, 2025 @02:57PM
(#44044703)
We mention this issue exactly in the fourth paragraph in Section 4 and in Appendix F!
It is unfortunate because they briefly mention Neel Nanda's Othello experiments, but not the wide array of experiments like the NeurIPS Oral "Linear Representation Hypothesis in Language Models" or even golden gate Claude.