Approximate Ellipsoid in the Streaming Model
Approximate Ellipsoid in the Streaming Model
复制标题
流模型中的近似椭球体
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Tom Switzer
中科院分区：
文献类型：
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作者：
A. Mukhopadhyay;Animesh Sarker;Tom Switzer
在本文中，我们考虑的问题，计算一个近似的椭圆流模型的计算，由3/2因子近似算法计算近似球的动机。我们的贡献是双重的：首先，我们展示了如何像近似球算法那样计算近似椭球，其次，构造一个输入来表明近似因子可以是无界的，这与计算近似球的算法不同。虽然体积的比例可以成为无界的，我们表明，存在一个方向，其中的宽度的比例是有界的一个因素为2。
In this paper we consider the problem of computing an approximate ellipsoid in the streaming model of computation, motivated by a 3/2-factor approximation algorithm for computing approximate balls. Our contribution is twofold: first, we show how to compute an approximate ellipsoid as done in the approximate ball algorithm, and second, construct an input to show that the approximation factor can be unbounded, unlike the algorithm for computing approxinmate balls. Though the ratio of volumes can become unbounded, we show that there exists a direction in which the ratio of widths is bounded by a factor of 2.