Table 2 Change points inferred for noisy synthetic images. The true value of change point is \(t_{0} = 0.50\) where solid circles change into hollow circles with different levels of noise
From: Leveraging change point detection to discover natural experiments in data
Noise | 0.20 | 0.40 | 0.60 | 0.80 | 1.00 |
|---|---|---|---|---|---|
\(\mu (t_{0})\) | 0.5048 | 0.5087 | 0.5253 | 0.5155 | 0.5380 |
\(\mu (t_{0})-t_{0}\) | 0.0047 | 0.0086 | 0.0237 | 0.0191 | 0.0398 |
\(\sigma (t_{0})\) | 0.0028 | 0.0043 | 0.0027 | 0.0111 | 0.0246 |
μ(α) | 0.9612 | 0.9787 | 0.9298 | 0.9609 | 0.8781 |
σ(α) | 0.0278 | 0.0139 | 0.0083 | 0.0361 | 0.0717 |