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Jan 31, 2022 at 19:15 vote accept Rodvi
Jan 31, 2022 at 9:32 history edited Rodvi CC BY-SA 4.0
some clarification
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Nov 3, 2020 at 17:44 history edited Rodvi CC BY-SA 4.0
clarifying the problem
Nov 3, 2020 at 17:42 comment added Rodvi @markowitz Maybe this explanation will give you better understanding of my point of view.
Nov 3, 2020 at 17:13 answer added Rodvi timeline score: 1
Nov 3, 2020 at 13:17 comment added markowitz Your definition of “noise” can be used also for something like MSE around a prediction. Moreover you speak about train and test sets there. I read the rest also. However until now I remain dubious about what do you mean.
Nov 3, 2020 at 13:05 comment added Rodvi @markowitz sorry, word "training" is unnecessary in my comment, I mean any finite sets from distribution $\tilde p(\tilde x, \tilde y)$ (which are not necessary used for training). Because there is no any learning algorithms at all in the expression for the noise, we can treat it completely independently of them (noise is defined only by distribution). I hope my question post is clear enough to understand that I mean.
Nov 3, 2020 at 12:45 comment added markowitz Well, so written it seem that you are focused on training error. True error is not an “empirical quantity” estimated on a finite sample. So, bring towards zero the training error is an easy task.
Nov 3, 2020 at 12:12 comment added Rodvi @markowitz I am interested in improving empirical estimates of the noise term (we can calculate these empirical estimates using finite training sets). I am not interested in general EPE minimization, since it can be done using bias or variance reduction.
Nov 3, 2020 at 12:03 comment added markowitz @Rodvi; You talk about bias-variance tradeoff. It refers on Expected Prediction Error (=EPE). Prediction error can be also translate in “test error”. Your “noise” stand for test error? Are you interested in EPE minimization?
Nov 2, 2020 at 11:02 history edited Rodvi CC BY-SA 4.0
little correction
Nov 2, 2020 at 0:00 history tweeted twitter.com/StackStats/status/1323052235157344256
Nov 1, 2020 at 23:06 comment added cure Fixed $x$ has meaning in regression analysis. Quite clear and historical explanations why to do so provide B.Chen and J.Pearl in "Regression and Causation: A Critical Examination of Six Econometrics Textbooks".
Nov 1, 2020 at 22:32 answer added Aram timeline score: 1
S Oct 27, 2020 at 14:41 history bounty started Rodvi
S Oct 27, 2020 at 14:41 history notice added Rodvi Draw attention
Oct 27, 2020 at 14:39 history edited Rodvi
added tag
Oct 23, 2020 at 17:08 history edited Rodvi CC BY-SA 4.0
added some details for fixed X
Oct 23, 2020 at 8:51 history asked Rodvi CC BY-SA 4.0