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Stochastic Mutual Information Gradient Estimation for Dimensionality Reduction Networks.

Ozan Özdenizci1,2,3, Deniz Erdoğmuş1

  • 1Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, USA.

Information Sciences
|July 15, 2021
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Summary
This summary is machine-generated.

This study introduces a novel neural network for feature selection, MMINet, using information theory to maximize class separability. It offers an end-to-end approach for dimensionality reduction in machine learning.

Keywords:
MMINetdimensionality reductionfeature projectioninformation theoretic learningmutual informationneural networksstochastic gradient estimation

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Area of Science:

  • Machine Learning
  • Information Theory
  • Computational Biology

Background:

  • Feature selection is crucial for supervised dimensionality reduction but can yield suboptimal results.
  • Existing methods may not optimize for class separability effectively.

Purpose of the Study:

  • To introduce an end-to-end neural network approach for feature transformation and selection.
  • To develop a method that maximizes mutual information between features and class labels for improved discriminative power.

Main Methods:

  • Developed a dimensionality reduction network (MMINet) utilizing the stochastic estimate of the mutual information gradient.
  • Formulated a non-parametric training objective without distributional assumptions.
  • Applied the method to high-dimensional biological datasets.

Main Results:

  • MMINet projects high-dimensional features into a lower-dimensional space maximizing mutual information with class labels.
  • The approach demonstrated effectiveness in experimental evaluations on biological data.
  • Conventional feature selection algorithms were shown to be a special case of this approach.

Conclusions:

  • Information theoretic feature transformation offers a powerful alternative to conventional feature selection.
  • MMINet provides an end-to-end trainable solution for discriminative dimensionality reduction.
  • The method shows promise for applications involving high-dimensional data, particularly in biology.