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cs.LG2026
Spectral origin of the topological gap exponent d + η: mechanism, kernel, decomposition, and scope
Matthew Loftus
The topological gap -- the excess total persistence of a critical point cloud over a density-matched null -- scales as . We derive this analytically: the s…
cs.LG2026
Spectral Signatures of Data Quality: Eigenvalue Tail Index as a Diagnostic for Label Noise in Neural Networks
Matthew Loftus
We investigate whether spectral properties of neural network weight matrices can predict test accuracy. Under controlled label noise variation, the tail index alpha of the eigenval…