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Mar 31, 2018 at 20:09 comment added Suvrit Thanks! Impressive that you could work out a direct proof by hand -- I try to avoid computing Hessians whenever I can!
Mar 31, 2018 at 19:57 comment added VSJ A collaborator and I were able to prove the ${n \choose k}$ case of the original question by directly computing the Hessian by hand and showing it is positive semidefinite. Your generalizations and extensions are superb!
Mar 29, 2018 at 14:10 history answered Suvrit CC BY-SA 3.0