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Aug 20, 2017 at 2:38 comment added SMD @FedorPetrov Yes, that is what I meant.
Aug 19, 2017 at 10:52 comment added Fedor Petrov You mean that the sets $\mathcal{J}_i$ are fixed? That they form a partition of $[k]$, and only $j_i\in \mathcal{J}_i$ vary?
Aug 12, 2017 at 15:47 comment added Yoav Kallus If I understand your question correctly, the answer should still be no for the same reason ($\alpha_d^{(j)}<0$ for all $j$), unless the zero vector is one of your alpha vectors.
Aug 12, 2017 at 10:39 history asked SMD CC BY-SA 3.0