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An Information-Theoretic Measure of Dependency Among Variables in Large Datasets

Information Theory 2015-08-18 v1 math.IT Methodology

Abstract

The maximal information coefficient (MIC), which measures the amount of dependence between two variables, is able to detect both linear and non-linear associations. However, computational cost grows rapidly as a function of the dataset size. In this paper, we develop a computationally efficient approximation to the MIC that replaces its dynamic programming step with a much simpler technique based on the uniform partitioning of data grid. A variety of experiments demonstrate the quality of our approximation.

Keywords

Cite

@article{arxiv.1508.04073,
  title  = {An Information-Theoretic Measure of Dependency Among Variables in Large Datasets},
  author = {Ali Mousavi and Richard G. Baraniuk},
  journal= {arXiv preprint arXiv:1508.04073},
  year   = {2015}
}