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I've been on the lookout for a while, but unfortunately, I'm still coming up empty-handed in my search for papers or books that dive into the theoretical derivation or simulation of the impact of non-stationarity on elastic net regressions. Has anyone stumbled upon resources discussing this specific topic? Any pointers to relevant papers or books would be much appreciated!

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  • $\begingroup$ Can you tell us a little bit more about what you mean when you say stationarity? $\endgroup$ Commented Mar 9 at 20:49
  • $\begingroup$ Certainly. I mean the concept of covariance-stationarity that assumes that the time series employed in variable selection possess a constant and unchanging mean, variance, and autocorrelation, making them mean-reverting. $\endgroup$
    – Joe94
    Commented Mar 9 at 22:02
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    $\begingroup$ Do you have any references for the stationary case? $\endgroup$ Commented Mar 10 at 11:06
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    $\begingroup$ Yes, here for example Masini, R. P., Medeiros, M. C., & Mendes, E. F. (2023). Machine learning advances for time series forecasting. Journal of economic surveys, 37(1), 76-111 the assumption is explicitly made on page 3 @Richard Hardy $\endgroup$
    – Joe94
    Commented Mar 10 at 18:21

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