All reports by Author Tal Herman:

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TR22-052
| 18th April 2022
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Tal Herman, Guy Rothblum#### Verifying The Unseen: Interactive Proofs for Label-Invariant Distribution Properties

Tal Herman, Guy Rothblum

Given i.i.d. samples from an unknown distribution over a large domain $[N]$, approximating several basic quantities, including the distribution's support size, its entropy, and its distance from the uniform distribution, requires $\Theta(N / \log N)$ samples [Valiant and Valiant, STOC 2011].

Suppose, however, that we can interact with a powerful ... more >>>