Research map / Bandits and online learning / Online convex optimization and games
Bounded-Regret MPC via Perturbation Analysis: Prediction Error, Constraints, and Nonlinearity
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| increase sample size from 200 to 2000 | nCor|Delta| · Simulated heteroscedastic examples E1-E4 | detection power | Helped |
| reduce sample size to N=30-150 | nCor|Delta| · Simulated data, Appendix E | detection power | Hurt |
| increase dimension of x (M up to 10) | nCor|Delta| · Multivariate simulated examples | detection power | Hurt |
| increase sample size in multivariate case | nCor|Delta| · Multivariate simulated examples | detection power | Helped |
| change x distribution (uniform, normal, exponential) and R2 (0, 0.4, 0.8) | nCor|Delta| · Simulated examples E1-E4 | detection power | No clear effect |
| use nCor|Delta| instead of Park test | heteroscedasticity detection · Examples 3 and 4 | detection of heteroscedasticity | Helped |
| use nCor|Delta| instead of White test (polynomial degree up to 15) | heteroscedasticity detection · Example 3 with normal x | required model complexity | Helped |
| increase R2 from 0 to 0.8 | dCor and RDC · Examples E1-E4 | sensitivity to heteroscedasticity | Hurt |
| use nCor|Delta| instead of MI and MIC | association measurement · Examples E1-E4 | separating functional from nonfunctional dependence | Helped |
| use nCor instead of nCor|Delta| for heteroscedasticity | association measure · Examples E1-E4 | heteroscedasticity sensitivity | Hurt |
| add x-noise (horizontal) to functional dataset D2 | nCor|Delta| · Reshef datasets D1-D8 with noise, N=10000 | heteroscedasticity detected | Mixed |
| remove isolated extreme-x outlier points before computing the statistic | nCor|Delta| · Small noise, extreme R2 with outliers, Appendix E | type I error | Helped |
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