Lecture 27 — December 2nd, 2014
نویسندگان
چکیده
Recall that in the turnstile model, we have some high dimensional vector x ∈ Rn, and each update is of the form xi ← xi+v. We wish to support queries f(x) such as f(x) = xi or f(x) = |support(x)|. Obviously, we could store x in O(n) space or the whole stream (O(m) space), but our goal is to come up with algorithms that use much less space. We proved the following last time Claim 1. Any deterministic algorithm for f(x) = |support(x)| requires Ω(min{n,m}) space. We also saw that we required a randomized/approximate algorithm to do better than Ω(min{n,m}). Today, we discuss different query functions and approaches to streaming/sketching problems.
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