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Abstract: A "sketch" is a data structure supporting some pre-specified set of queries and updates to a database while consuming space substantially (often exponentially) less than the information theoretic minimum required to store everything seen, and thus can also be seen as some form of functional compression. A "streaming algorithm" is simply a data structure that maintains a sketch dynamically as data is updated. The advantages of sketching include less memory consumption, faster algorithms, and reduced bandwidth requirements in distributed…