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Jun 24, 2022 at 20:30 vote accept Samrat Mukhopadhyay
Jun 24, 2022 at 20:29 comment added Samrat Mukhopadhyay Thanks for your comment.
Jun 24, 2022 at 18:05 comment added Iosif Pinelis @SamratMukhopadhyay : Concerning non-convex sets, it was said, in somewhat other words, that small differences between $v$ and $Ev$ may lead to large differences between $\hat w$ and $w^*$. So, for general non-convex sets, you cannot get a concentration result.
Jun 24, 2022 at 17:51 comment added Samrat Mukhopadhyay what I meant to say is that I think this does not answer fully the question for non-convex sets. For convex sets, this is indeed very interesting and that's why I thank you.
Jun 24, 2022 at 16:46 comment added Iosif Pinelis @SamratMukhopadhyay : Why does it not answer your question? Your least-squares solutions are exactly what is usually called the projections -- as in the linked previous answer at math.stackexchange.com/questions/3272169/…
Jun 24, 2022 at 15:38 comment added Samrat Mukhopadhyay The projection approach is quite interesting! Although it does not fully answer my question, this is really helpful! Thanks a lot!
Jun 24, 2022 at 13:52 history edited Iosif Pinelis CC BY-SA 4.0
added 130 characters in body
Jun 24, 2022 at 13:47 history answered Iosif Pinelis CC BY-SA 4.0