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Queries such as whether a user has seen a tweet, the number of unique users who have favourited a tweet, or the number of times a tweet was seen over a period of time, are all hard to answer exactly due to having huge datasets and tight time constraints. However, the exact number is often not necessary as long as the errors are bounded. Certain algebraic data structures enable approximate answers to the queries mentioned, owing to distributed computations performed over them that are guaranteed to be correct because of their algebraic properties.
Take a look at Algebird and Summingbird.
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Laura Bledaite
Laura is a data scientist at Twitter with a taste for functional programming. She mostly writes Scala, though she really admires O'Caml as well. Laura knows a bit about recommender systems, statistics and math. She did her BSc in Financial and Actuarial Mathematics in Vilnius University, where with several friends she wrote a thesis about The Role of Tail Index in Analysis of Currency Returns.