Difference between revisions of "Open Problems:87"

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Revision as of 22:57, 25 October 2017

Suggested by Gautam Kamath
Source FOCS 2017
Short link https://sublinear.info/87

This is a continuation of this previous open problem from the |Bertinoro workshop Bertinoro Workshop on Sublinear Algorithms.

For constant $\varepsilon>0$ it is known that the sample complexity of equivalence testing, in the conditional oracle model where the algorithm gets to condition the samples it receives on arbitrary subsets of the domain $[n]$, is $\Omega(\sqrt{\log\log n})$ and $O({\log\log n})$. [AcharyaCK-14,FalahatgarJOPS-15].

What is the exact dependence on the domain size of the sample complexity of equivalence testing in the conditional oracle model?