PL-CUSUM combines persistent Betti counts and persistent Laplacian spectra in a CUSUM alarm rule; under a finite-support local model its oracle delay is order log(ARL)/γ².
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Under cached oracle responses, identification and output-quality ceilings are governed by total variation distance and expected transcript-computable score; fresh responses raise these ceilings at the Chernoff rate for identification and via geometric stopping for output quality.
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Online Change-Point Detection with Persistent Laplacian Features
PL-CUSUM combines persistent Betti counts and persistent Laplacian spectra in a CUSUM alarm rule; under a finite-support local model its oracle delay is order log(ARL)/γ².