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Jul 13, 2016 at 8:38 vote accept dreamflasher
Jul 11, 2016 at 19:37 history edited Haitao Du CC BY-SA 3.0
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Jul 11, 2016 at 19:25 comment added Haitao Du @DreamFlasher let me revise my answer and add Mark's answer.
Jul 11, 2016 at 19:13 comment added dreamflasher hxd1011 @MarkL.Stone MIQP looks like what I want, hxd1011 do you want to add that to your answer or do you MarkL.Stone want to add another answer -- and then I'd accept either? :)
Jul 11, 2016 at 13:18 comment added Metariat @MarkL.Stone Sorry I didn't read carefully the question. I thought that the constraints are that all the coefficients should be integer!
Jul 11, 2016 at 12:57 comment added Mark L. Stone @DreamFlasher You want to use Mixed Integer Quadratic Programming software, which has the acronym MIQP.
Jul 11, 2016 at 12:55 comment added Mark L. Stone I don't think the proposal by @Matemattica makes any sense at all.
Jul 11, 2016 at 8:15 comment added dreamflasher Thank you very much hxd1011 and @MarkL.Stone -- there are many $\pi_i$. Nevertheless a good idea to do brute force for small cases. Can you elaborate a bit more for integer programming? Are there readily available tools which achieve that? Mattemattica: That's an interesting idea too, does it work?
Jul 8, 2016 at 21:08 comment added Metariat I think the better solution is to fit the normal regression without any constraint. Then to do the search only on the voisinage of the continuous solution!
Jul 8, 2016 at 16:51 comment added Haitao Du replaced with wikipeida link
Jul 8, 2016 at 16:50 history edited Haitao Du CC BY-SA 3.0
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Jul 8, 2016 at 16:43 comment added Mark L. Stone I also think your "Local Search" link will just confuse matters.
Jul 8, 2016 at 16:35 history edited Haitao Du CC BY-SA 3.0
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Jul 8, 2016 at 16:07 comment added Mark L. Stone I don't think constraint programming is going to do the trick here.
Jul 8, 2016 at 15:47 history edited Haitao Du CC BY-SA 3.0
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Jul 8, 2016 at 15:42 history answered Haitao Du CC BY-SA 3.0