SOURCE-LINKED INTELLIGENCE
Representation Measurements Under Function-Preserving Reparameterizations
Hidden coordinates are not uniquely determined by a language model's input--output function, so representation-derived measurements should be invariant to function-preserving changes of basis. This study shows that column-permutation parallel analysis violates function-preserving reparameterization invariance because its reference distribution and selected component count can change while the model function and observed covariance spectrum remain fixed. More generally, a data-internal reference procedure cannot simultaneously preserve every coordinate marginal, remain orthogonally equivariant,
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Evidence & attribution
- arXiv · AI, language, vision and robotics · 2026-08-27T12:05:15.000Z
First collected: 2026-09-21T08:51:59.673Z. This is not the publication date.