论文标题

近似最佳双向宏观方案

Approximating Optimal Bidirectional Macro Schemes

论文作者

Russo, Luís M. S., Correia, Ana D., Navarro, Gonzalo, Francisco, Alexandre P.

论文摘要

Lempel-Ziv是一个易于计算的所谓宏观方案家族的成员;它限制了指针只能朝一个方向前进。最佳双向宏观方案是NP完整的,但它们可能会在高度重复的序列上提供更好的压缩。我们考虑近似最佳双向宏观方案的问题。我们描述了一种模拟的退火算法,通常会迅速收敛。此外,在某些情况下,我们获得了双向宏观方案,这些宏观方案可证明是最佳的2-焦点。我们在许多人工重复文本上测试了算法,并验证它在实践中是有效的,并且优于lempel-ziv,有时会宽大。

Lempel-Ziv is an easy-to-compute member of a wide family of so-called macro schemes; it restricts pointers to go in one direction only. Optimal bidirectional macro schemes are NP-complete to find, but they may provide much better compression on highly repetitive sequences. We consider the problem of approximating optimal bidirectional macro schemes. We describe a simulated annealing algorithm that usually converges quickly. Moreover, in some cases, we obtain bidirectional macro schemes that are provably a 2-approximation of the optimal. We test our algorithm on a number of artificial repetitive texts and verify that it is efficient in practice and outperforms Lempel-Ziv, sometimes by a wide margin.

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