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Efficient Approximate Solutions to Mutual Information Based Global Feature Selection

Machine Learning 2017-06-26 v1 Machine Learning

Abstract

Mutual Information (MI) is often used for feature selection when developing classifier models. Estimating the MI for a subset of features is often intractable. We demonstrate, that under the assumptions of conditional independence, MI between a subset of features can be expressed as the Conditional Mutual Information (CMI) between pairs of features. But selecting features with the highest CMI turns out to be a hard combinatorial problem. In this work, we have applied two unique global methods, Truncated Power Method (TPower) and Low Rank Bilinear Approximation (LowRank), to solve the feature selection problem. These algorithms provide very good approximations to the NP-hard CMI based feature selection problem. We experimentally demonstrate the effectiveness of these procedures across multiple datasets and compare them with existing MI based global and iterative feature selection procedures.

Keywords

Cite

@article{arxiv.1706.07535,
  title  = {Efficient Approximate Solutions to Mutual Information Based Global Feature Selection},
  author = {Hemanth Venkateswara and Prasanth Lade and Binbin Lin and Jieping Ye and Sethuraman Panchanathan},
  journal= {arXiv preprint arXiv:1706.07535},
  year   = {2017}
}

Comments

ICDM 2015 Conference

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