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Comparing feedforward neural networks using independent component analysis on hidden units.

Seiya Satoh1, Kenta Yamagishi2, Tatsuji Takahashi2

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This study introduces a new method using independent component analysis (ICA) to compare feedforward neural networks. The approach reveals similarities in internal processing even with different network structures or datasets.

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Computational Neuroscience

Background:

  • Neural networks are powerful tools for complex tasks like classification and regression.
  • However, their decision-making processes can be opaque, lacking interpretability.
  • Existing methods struggle to compare networks with varying architectures or training data.

Purpose of the Study:

  • To develop a novel method for comparing feedforward neural networks.
  • To assess the functional similarity between different neural network models.
  • To enhance the interpretability and understanding of neural network performance.

Main Methods:

  • The proposed method utilizes independent component analysis (ICA) on the hidden layers of neural networks.
  • It compares pairs of feedforward neural networks, even those with different structures or partially different datasets.
  • Experiments were conducted on networks with one hidden layer, varying hidden units, datasets, and activation functions.

Main Results:

  • Similar independent components were successfully extracted from compared neural networks, irrespective of structural or data variations.
  • Direct comparison of network weights or activations proved insufficient for identifying functional similarities.
  • The ICA-based approach effectively revealed resemblances in the internal processing of different neural networks.

Conclusions:

  • Independent component analysis provides a robust method for comparing neural networks.
  • This technique offers insights into network functionality beyond simple weight or activation comparisons.
  • The approach holds potential for improving the understanding and trustworthiness of neural network models.