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|source=kanpur06
 
|source=kanpur06
 
|who=Yossi Matias
 
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{{DISPLAYTITLE:Problem 13: Effects of Subsampling}}
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{{Infobox
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|label1 = Proposed by
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|data1 = Yossi Matias
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|label2 = Source
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|data2 = [[Workshops:Kanpur_2006|Kanpur 2006]]
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|label3 = Short link
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|data3 = http://sublinear.info/13
 
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When processing very fast streams, it is not feasible to run a streaming algorithm on the entire stream, even one that can process each element in $O(1)$ time. Rather it is necessary to sample from the stream and to process the sub-stream using a streaming algorithm. For standard problems such as estimating $F_0$, how does the sub-sampling affect that the accuracy of the streaming algorithms? How should the sampling rate and the per-element time-complexity of a streaming algorithm be traded-off to achieve optimal results?  
 
When processing very fast streams, it is not feasible to run a streaming algorithm on the entire stream, even one that can process each element in $O(1)$ time. Rather it is necessary to sample from the stream and to process the sub-stream using a streaming algorithm. For standard problems such as estimating $F_0$, how does the sub-sampling affect that the accuracy of the streaming algorithms? How should the sampling rate and the per-element time-complexity of a streaming algorithm be traded-off to achieve optimal results?  

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