The Power of Many Samples in Query Complexity

25 Feb 2020 Bassilakis Andrew Drucker Andrew Göös Mika Hu Lunjia Ma Weiyun Tan Li-Yang

The randomized query complexity $R(f)$ of a boolean function $f\colon\{0,1\}^n\to\{0,1\}$ is famously characterized (via Yao's minimax) by the least number of queries needed to distinguish a distribution $D_0$ over $0$-inputs from a distribution $D_1$ over $1$-inputs, maximized over all pairs $(D_0,D_1)$. We ask: Does this task become easier if we allow query access to infinitely many samples from either $D_0$ or $D_1$?.. (read more)

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