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MixFunn: A...
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Image Credit: Arxiv

MixFunn: A Neural Network for Differential Equations with Improved Generalization and Interpretability

  • MixFunn is a novel neural network architecture designed to solve differential equations with improved precision, interpretability, and generalization capability.
  • The architecture includes the mixed-function neuron and the second-order neuron, which enhance the representational flexibility and expressive power of the network.
  • MixFunn achieves comparable or superior results with significantly fewer parameters compared to conventional approaches.
  • It has been successfully applied in solving differential equations in classical mechanics, quantum mechanics, and fluid dynamics, showing higher accuracy and improved generalization beyond the training domain.

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