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Structure and Function of Neurons
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Learning smooth dendrite morphological neurons by stochastic gradient descent for pattern classification.

Wilfrido Gómez-Flores1, Humberto Sossa2

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Summary

This study introduces a new learning algorithm for dendrite morphological neurons (DMN) using stochastic gradient descent (SGD). The improved DMN model enhances pattern classification performance, offering a competitive alternative to existing methods.

Keywords:
Dendrite morphological neuronsLearnable softmax layerSmooth activation functionsSpherical dendritesStochastic gradient descent

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Area of Science:

  • Computational Neuroscience
  • Machine Learning
  • Artificial Intelligence

Background:

  • Dendrite morphological neurons (DMN) traditionally use a two-stage learning process.
  • Existing DMN learning methods lack feedback between dendrite position and weight adjustment.
  • This limitation hinders optimal classification performance.

Purpose of the Study:

  • To develop an integrated learning algorithm for DMN using stochastic gradient descent (SGD).
  • To enable feedback for adjusting dendrite centroids and output layer weights simultaneously.
  • To improve the classification accuracy of DMN models.

Main Methods:

  • Derived delta rules for adjusting dendrite centroids and output layer weights.
  • Minimized cross-entropy loss function under an SGD scheme.
  • Utilized a differentiable smooth maximum activation function for gradient-based learning.

Main Results:

  • The proposed SGD-based DMN learning algorithm was compared against eight other DMN models and four standard classifiers (SVM, MLP, RF, k-NN).
  • Performance was evaluated across 81 diverse datasets.
  • The proposed method demonstrated superior or competitive results compared to existing DMNs and standard classifiers.

Conclusions:

  • The integrated SGD learning approach effectively improves DMN classification performance.
  • This method provides a standardized learning framework for DMNs, akin to current artificial neural networks.
  • The proposed DMN is a viable and effective alternative for pattern classification tasks.