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Add Radial Basis Function Neural Network (RBFNN)  #12322

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Add Radial Basis Function Neural Network (RBFNN) #12322
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enhancementThis PR modified some existing files

Description

@JeninaAngelin
JeninaAngelin
opened on Oct 29, 2024

Feature description

Radial Basis Function Neural Networks (RBFNNs) are a type of neural network that combines elements of clustering and function approximation, making them powerful for both regression and classification tasks. RBFNNs can efficiently model non-linear relationships with fewer parameters than traditional multilayer perceptrons, thanks to their unique architecture that uses radial basis functions (typically Gaussian) in the hidden layer.

This structure allows RBFNNs to approximate functions and decision boundaries with high accuracy while maintaining a relatively simple network structure.

Goals:

  • Implement an RBFNN class with train and predict functionalities.
  • Use Gaussian radial basis functions as hidden layer activations.
  • Include KMeans clustering for initializing RBF centers and least-squares fitting for output weights.

    Requirements:

  • Initialization: RBFNN class should initialize with num_centers and gamma for Gaussian spread.
  • Training: Add a train(x_data, y_data) method to:
  • Find RBF centers using KMeans.
  • Compute RBF activations for each input.
  • Calculate output weights through least-squares fitting.
  • Prediction: Implement a predict(x) method to calculate and return predictions based on learned weights.

    • Activity

    1. JeninaAngelin
      added
      enhancementThis PR modified some existing files
      on Oct 29, 2024

    2. Tahmid019 commented on Oct 30, 2024

      @Tahmid019
      Tahmid019
      on Oct 30, 2024 · Hidden as spam

    3. JeninaAngelin commented on Oct 30, 2024

      @JeninaAngelin
      JeninaAngelin
      on Oct 30, 2024
      Author

      I've submitted a PR but some tests are not passed

    4. oxBinaryBrain
      added a commit that references this issue on Apr 7, 2025

      Added the RBFNN as mentioned in the issue TheAlgorithms#12322

      393504f
    5. Monasri29-hub
      added a commit that references this issue on Oct 20, 2025

      feat: add Radial Basis Function Neural Network implementation

      3ded533

    6. cclauss commented on Sep 6, 2026

      @cclauss
      cclauss
      on Sep 6, 2026
      Member

      https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md#issues

      If you are interested in resolving an open issue, simply make a pull request with your proposed fix. We do not assign issues in this repo so please do not ask for permission to work on an issue.

      Do not create an issue to contribute an algorithm. Please submit a pull request instead.

    7. cclauss
      closed this as completedon Sep 6, 2026
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