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Near-Floor Geometry Is Generic: Leverage Dispersion in Trained Overcomplete Codes

Borobia, Hector et al.
arXiv (All) · Papers
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i-2-6information-theorymachine-learning
An overcomplete code packs $F$ features into $d<F$ dimensions, so linear readout of one feature picks up cross-talk from the others, bounded below by the rank-trace floor $W(F,d)=(F-d)/(d(F-1))$. Proximity to this floor is read as evidence of an efficient arrangement. It is not: an i.i.d. code of th
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