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Sep 21, 2021 at 17:07 history edited Ethan CC BY-SA 4.0
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Sep 21, 2021 at 17:04 history rollback Ethan
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Sep 20, 2021 at 22:54 history rollback Ethan
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Sep 20, 2021 at 22:34 history edited Shayan Shafiq CC BY-SA 4.0
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Dec 4, 2020 at 20:15 vote accept Rocky the Owl
Dec 4, 2020 at 20:13 comment added Rocky the Owl Okay thank you very much! (I would upvote the post but I do not have enough reputation)
Dec 4, 2020 at 20:08 comment added Ethan Consequently, it would be difficult to say whether ridge regression would or would not perform better in either of these cases without trying it both ways to see.
Dec 4, 2020 at 20:07 comment added Ethan I think a generalization in this regard is somewhat difficult to draw as it will depend on the data that comprises each of the data sets. I would say that depends. If you have a data set or 50k intuition would suggest that we might get a better fit, however since OLS is at high risk of being effected by outliers perhaps if there are many present in that data set the fit will be worse. If the dataset of 1k however follows a linear pattern almost exactly the fit might be better.
Dec 4, 2020 at 20:01 comment added Rocky the Owl Thanks for this response. When I said 'larger datasets', I was referring to number of data points rather than parameters. You are correct that OLS doesn't have feature selection. Generally speaking, for a dataset of size 50,000 (with ~10 parameters) would we still expect ridge regression to outperform as significantly as it might to with a dataset of size 1,000? Thanks for the help!
Dec 4, 2020 at 18:58 history edited Ethan CC BY-SA 4.0
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Dec 4, 2020 at 18:47 history answered Ethan CC BY-SA 4.0