Unverified
2026
Effective-Rank Spectral Bottleneck
Use the paper's effective-rank and eigengap-dependent covariance estimation rates to construct a confidence-aware low-rank bottleneck for transformer activations or key/value tensors. The bottleneck is enabled only when the top-p empirical eigenspace can be estimated more accurately than the desired compression error; otherwise the layer remains full-rank.
Paper: Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency
arXiv:2607.23964