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Epsilon-approximations and epsilon-nets

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arxiv 1702.03676 v3 pith:W5UDAZEE submitted 2017-02-13 cs.CG math.COmath.PR

classification cs.CGmath.COmath.PR
keywords epsilongeometricpropertiesrandomalgorithmicapproximateapproximationsbeen
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abstract

The use of random samples to approximate properties of geometric configurations has been an influential idea for both combinatorial and algorithmic purposes. This chapter considers two related notions---$\epsilon$-approximations and $\epsilon$-nets---that capture the most important quantitative properties that one would expect from a random sample with respect to an underlying geometric configuration.

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Cited by 1 Pith paper

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  1. The Adversarial Robustness of Sketching and Streaming Algorithms

    cs.DS 2026-07 conditional novelty 2.0 of 10

    A survey monograph unifying the field of adversarially robust streaming: near-optimal robustness for insertion-only streams, poly(n)-space impossibility for turnstile linear sketches, and crypto-based white-box algorithms.

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