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Bounded-Regret MPC via Perturbation Analysis: Prediction Error, Constraints, and Nonlinearity

NeurIPS 2022 · Bandits and online learning › Online convex optimization and games · approach: Online linear-quadratic control regret · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
increase sample size from 200 to 2000nCor|Delta| · Simulated heteroscedastic examples E1-E4detection powerHelped
reduce sample size to N=30-150nCor|Delta| · Simulated data, Appendix Edetection powerHurt
increase dimension of x (M up to 10)nCor|Delta| · Multivariate simulated examplesdetection powerHurt
increase sample size in multivariate casenCor|Delta| · Multivariate simulated examplesdetection powerHelped
change x distribution (uniform, normal, exponential) and R2 (0, 0.4, 0.8)nCor|Delta| · Simulated examples E1-E4detection powerNo clear effect
use nCor|Delta| instead of Park testheteroscedasticity detection · Examples 3 and 4detection of heteroscedasticityHelped
use nCor|Delta| instead of White test (polynomial degree up to 15)heteroscedasticity detection · Example 3 with normal xrequired model complexityHelped
increase R2 from 0 to 0.8dCor and RDC · Examples E1-E4sensitivity to heteroscedasticityHurt
use nCor|Delta| instead of MI and MICassociation measurement · Examples E1-E4separating functional from nonfunctional dependenceHelped
use nCor instead of nCor|Delta| for heteroscedasticityassociation measure · Examples E1-E4heteroscedasticity sensitivityHurt
add x-noise (horizontal) to functional dataset D2nCor|Delta| · Reshef datasets D1-D8 with noise, N=10000heteroscedasticity detectedMixed
remove isolated extreme-x outlier points before computing the statisticnCor|Delta| · Small noise, extreme R2 with outliers, Appendix Etype I errorHelped

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