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Pipelines and drafts related to arXiv:2312.16201
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supplement: clarify reasoning for claim that "a single number" exists satisfying inequalities for Lagrange multiplier #65

Closed elray1 closed 10 months ago

elray1 commented 10 months ago

Looking at this section of the supplement: image

The claim that "a single number" exists such that these inequalities are satisfied is not obvious to me -- for example, what if all marginal distributions are discrete and have a jump at $x_i^\star$? Can we either update the language to remove the word "single" or add more of an explanation for the "Therefore"?

aaronger commented 10 months ago

Yes definitely not unique. Will try "independent of i"?