High-dimensional literature typically assumes that the number of predictors $p$ increases with sample size $n$, say $p = O(\exp n)$. I can understand that assuming $n\to\infty$ corresponds to increasing the number of observations in a study, say we collect more samples. Are there any actual examples of $p$ increasing with $n$?

  • $\begingroup$ "semi-parametric" is a good search keyword. $\endgroup$
    – whuber
    Dec 11, 2022 at 0:13
  • $\begingroup$ Imaging and such.. $\endgroup$
    – stans
    Dec 11, 2022 at 1:46


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