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Sequential Changepoint Detection via Backward Confidence Sequences
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add backward confidence sequences to the forward confidence sequence detector | SCD · No-change stream | average run length (ARL): \mathbb{E}_{\infty}[\tau] \geq \frac{1}{2\alpha} - \frac{3}{2}; FCS-Detector has infinite ARL | Helped |
| Add backward confidence sequences to the forward confidence sequence detector | SCD · After a change | expected detection delay: FCS delay increases approximately as \sqrt{T}; BCS bound is independent of T | Helped |
| Use a single forward confidence sequence instead of forward and backward confidence sequences (ablation) | BCS-Detector · No-change stream | average run length (ARL): infinite | No clear effect |
| Use a single forward confidence sequence instead of forward and backward confidence sequences (ablation) | BCS-Detector · After a change | detection delay: approximately \sqrt{T} | Hurt |
| Use Gaussian mean confidence sequences | BCS-Detector · Gaussian mean change detection | expected 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}, P | Helped |
| Use empirical Bernstein confidence sequences | BCS-Detector · Bounded nonparametric mean change detection | expected detection delay: \mc{O}\left( \sigma_1^2\, \frac{\log(1/\Delta) + \log(1/\alpha)}{\Delta^2} \right) | Helped |
| Use a Kolmogorov-Smirnov confidence sequence | BCS-Detector · CDF change detection | expected detection delay: \mc{O} \left( \frac{ \log \log(1/\Delta) + \log(1/\alpha)}{\Delta^2}\right) | Helped |
| Use kernel-MMD confidence sequences | BCS-Detector · Change in homogeneity of two streams | expected detection delay: \mc{O} \left( \frac{ \log(1/alpha) + \log \log(1/\Delta)}{\Delta^2} \right) | Helped |
| Vary the change magnitude Δ | BCS-Detector · Gaussian mean change detection | average detection delay: 1/\Delta^2 | Mixed |
Closest papers by meaning
- Reducing sequential change detection to sequential estimation (ICML 2024 · similarity 0.93)
- Fixed-Confidence Multiple Change Point Identification under Bandit Feedback (ICML 2025 · similarity 0.85)
- The Sample Complexity of Multiple Change Point Identification under Bandit Feedback (NeurIPS 2026 · similarity 0.85)
- Optimal Online Change Detection via Random Fourier Features (NeurIPS 2025 · similarity 0.85)
- Conjugate Bayesian Two-step Change Point Detection for Hawkes Process (NeurIPS 2024 · similarity 0.84)
- Adaptive Estimation and Learning under Temporal Distribution Shift (ICML 2025 · similarity 0.83)
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