A gauge-theoretic framework models the whitening filter as a section of a principal bundle and proves that the minimum-phase connection is flat for scalar fields, yielding a holonomic update law determined only by the instantaneous noise state.
Kennington, Dual Cutler-Vallisneri corrections: Mit- igating PSD drift in zero-latency gravitational-wave searches (2026), arXiv:2603.09132 [gr-qc]
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Introduces Fisher information velocity on a PSD Riemannian manifold to decouple energy surges from spectral warps, achieving 74% higher significance than BLRMS and expanding anomaly detection by 87% on LIGO O4a data while remaining insensitive to astrophysical signals.
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Gauge Theoretic Signal Processing I: The Commutative Formalism for Single-Detector Adaptive Whitening
A gauge-theoretic framework models the whitening filter as a section of a principal bundle and proves that the minimum-phase connection is flat for scalar fields, yielding a holonomic update law determined only by the instantaneous noise state.