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Timeline for Sampling with non-uniform costs

Current License: CC BY-SA 2.5

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Nov 19, 2010 at 0:15 comment added Suresh Venkat Your problem might be too hard as stated. Suppose I have an instance where all $c_i = 1$ except for $c_1 = n$. Now my bit vector has $b_1 = 1$ and $b_n = 1$, with all other bits being zero. OPT can obtain a factor 2 approximation (or k=1) by querying that bit, but it will be difficult to find $b_n$ by random sampling in less than $\Theta(n)$ cost.
Nov 18, 2010 at 22:57 comment added Warren Schudy This sounds like it could be homework. Can you tell us why you care?
Nov 18, 2010 at 20:33 answer added trutheality timeline score: 1
Nov 18, 2010 at 18:27 history asked Jack CC BY-SA 2.5