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Sequential Changepoint Detection via Backward Confidence Sequences

ICML 2023 · Probabilistic and scientific modeling › Molecules and proteins · approach: Prediction-powered and conformal inference · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add backward confidence sequences to the forward confidence sequence detectorSCD · No-change streamaverage run length (ARL): \mathbb{E}_{\infty}[\tau] \geq \frac{1}{2\alpha} - \frac{3}{2}; FCS-Detector has infinite ARLHelped
Add backward confidence sequences to the forward confidence sequence detectorSCD · After a changeexpected detection delay: FCS delay increases approximately as \sqrt{T}; BCS bound is independent of THelped
Use a single forward confidence sequence instead of forward and backward confidence sequences (ablation)BCS-Detector · No-change streamaverage run length (ARL): infiniteNo clear effect
Use a single forward confidence sequence instead of forward and backward confidence sequences (ablation)BCS-Detector · After a changedetection delay: approximately \sqrt{T}Hurt
Use Gaussian mean confidence sequencesBCS-Detector · Gaussian mean change detectionexpected detection delay: \mc{O}\left( \frac{ \log \log(\frac{1}{\dkl(P_{\theta_1}, P_{\theta_0})}) + \log(\frac{1}{\alpha})}{\dkl(P_{\theta_1}, PHelped
Use empirical Bernstein confidence sequencesBCS-Detector · Bounded nonparametric mean change detectionexpected detection delay: \mc{O}\left( \sigma_1^2\, \frac{\log(1/\Delta) + \log(1/\alpha)}{\Delta^2} \right)Helped
Use a Kolmogorov-Smirnov confidence sequenceBCS-Detector · CDF change detectionexpected detection delay: \mc{O} \left( \frac{ \log \log(1/\Delta) + \log(1/\alpha)}{\Delta^2}\right)Helped
Use kernel-MMD confidence sequencesBCS-Detector · Change in homogeneity of two streamsexpected detection delay: \mc{O} \left( \frac{ \log(1/alpha) + \log \log(1/\Delta)}{\Delta^2} \right)Helped
Vary the change magnitude ΔBCS-Detector · Gaussian mean change detectionaverage detection delay: 1/\Delta^2Mixed

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