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Adaptive Sampling for Geometric Problems over Data Streams

Summary: Adaptive, single-pass sampling scheme that maintains at most 2r+1 points to approximate the convex hull of a 2D point stream, enabling many extremal geometric queries over streams. Provable guarantee: hull error O(D/r^2) (D=diameter), yielding optimal bounds and O(log r) or O(r) query time for diameter, hull-distance, separability, etc. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1328
Venue
PODS
Year
2004
Pagerank
4.5321044e-05
Overall Rank
8,377 | 41.73%
DOI
-

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Incoming Citations (Sorted by Pagerank)

Showing 2 of 2 citing papers.

Rank Citing Paper Year Venue Pagerank
5,117 Sampling Algorithms in a Stream Operator 2005 SIGMOD 5.6825418e-05
7,271 Comparing Synopsis Techniques for Approximate Spatial Data Analysis 2019 VLDB 4.7813404e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 4 of 4 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

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