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random sampling 2entropy coding 1entropy lower bounds 1information theory 1online algorithms 1probability 1probability distributions 1space complexity 1space-efficient computation 1

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cs.CC2026

Space-Entropy Lower Bounds for Random Sampling

Thomas L. Draper, Feras A. Saad

The paper establishes fundamental lower bounds on the memory required by exact random sampling algorithms that aim to use near-optimal amounts of random bits, showing that achievin…