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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > SUNFLOWER LEMMAS:
Reports tagged with sunflower lemmas:
TR20-154 | 10th October 2020
Marcel Dall'Agnol, Tom Gur, Oded Lachish

A Structural Theorem for Local Algorithms with Applications to Coding, Testing, and Privacy

We prove a general structural theorem for a wide family of local algorithms, which includes property testers, local decoders, and PCPs of proximity. Namely, we show that the structure of every algorithm that makes $q$ adaptive queries and satisfies a natural robustness condition admits a sample-based algorithm with $n^{1- 1/O(q^2 ... more >>>




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