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An Optimal Algorithm for the Distinct Elements Problem

An Optimal Algorithm for the Distinct Elements Problem. Inspired by [Bar- Yossef et al. 2002]. 1 17 2 4 17 9 2 5 1 1 4 6. 1/ ε 2. 1. 2. 3. h:{1,…,n} {1,…,log n}. 4. Pr[h( i ) = j] = 1/2 j. …. 5. …. log n. 4. 3. 4. 3. 4. 5. 2.

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An Optimal Algorithm for the Distinct Elements Problem

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  1. An Optimal Algorithm for the Distinct Elements Problem Inspired by [Bar-Yossef et al. 2002] 11724 17 9 2 5 1 1 4 6 1/ε2 1 2 3 h:{1,…,n} {1,…,log n} 4 Pr[h(i) = j] = 1/2j … 5 … log n 4 3 4 3 4 5 2 g:{1,…,n} {1,…,1/ε2} MIT Computer Science and Artificial Intelligence Laboratory, Theory of Computation Group

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