Algorithms for Estimating Information Distance with Application to Bioinformatics and Linguistics
<|reference_start|>Algorithms for Estimating Information Distance with Application to Bioinformatics and Linguistics: After reviewing unnormalized and normalized information distances based on incomputable notions of Kolmogorov complexity, we discuss how Kolmogorov complexity can be approximated by data compression algorithms. We argue that optimal algorithms for data compression with side information can be successfully used to approximate the normalized distance. Next, we discuss an alternative information distance, which is based on relative entropy rate (also known as Kullback-Leibler divergence), and compression-based algorithms for its estimation. Based on available biological and linguistic data, we arrive to unexpected conclusion that in Bioinformatics and Computational Linguistics this alternative distance is more relevant and important than the ones based on Kolmogorov complexity.<|reference_end|>
@article{kaltchenko2004algorithms,
    title={Algorithms for Estimating Information Distance with Application to
  Bioinformatics and Linguistics},
    author={Alexei Kaltchenko},
    journal={arXiv preprint arXiv:cs/0404039},
    year={2004},
    archivePrefix={arXiv},
    eprint={cs/0404039},
    primaryClass={cs.CC cs.CE q-bio.GN}
}