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Timeline for Order of variable entry in LASSO

Current License: CC BY-SA 3.0

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May 26, 2017 at 17:41 comment added user795305 @whuber thanks for the comment! I've updated the answer to be more clear. (The last time a question reported a difference in estimators that shouldn't have been, I jumped on the algorithm giving the difference--only to later find out the OP had made a mistake, so I was more hesitant this time. Thanks for including that remark.)
May 26, 2017 at 17:39 history edited user795305 CC BY-SA 3.0
updated argument to include invariance of 1 norm
May 26, 2017 at 17:11 comment added whuber +1. FWIW, you're implicitly relying on the (obvious) fact that $||\beta||_1$ is invariant under reordering, too. I'm not entirely sure there was a mistake: sometimes people get alarmed at tiny differences attributable to floating point error. It's possible that reordering $X$ causes the algorithm to proceed a little differently, which could produce tiny differences in the least significant figures of the results. When people tell us they got "different results," they really haven't told us anything... .
May 26, 2017 at 17:02 history edited user795305 CC BY-SA 3.0
added 3 characters in body
May 26, 2017 at 16:54 history answered user795305 CC BY-SA 3.0