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Multi-Valued Neuron with Sigmoid Activation Function

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This paper explores Multi-Valued Neurons (MVN) enhanced with Sigmoid Activation Functions (MVN-sig). It discusses the motivation behind incorporating sigmoid functions, detailing the expected improvements in performance and tolerance despite increased execution time. The work presents learning methodologies utilizing the back-propagation rule and showcases simulation results using benchmark datasets like the Wine and Glass identification datasets, achieving 100% training accuracy. Additionally, the document outlines current limitations and suggests directions for future research in MVN applications.

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Multi-Valued Neuron with Sigmoid Activation Function

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  1. Multi-Valued Neuron with Sigmoid Activation Function Shin-Fu Wu 2013/5/10

  2. Outlines • Multi-Valued Neuron (MVN) • MVN with Sigmoid Activation Function (MVN-sig) • Motivation and Expectation • Multi-Valued Sigmoid Activation Function • Learning using Back-propagation Rule • Simulation Results • Benchmark simulations • Problems and Limitations • Movement of Weighted Sum • Future Works

  3. MVN

  4. MVN-sig • Motivation and Expectation • Basic idea: approach the functionality of MVN using sigmoid function • Differentiable • Multi-Valued Logic • Expectation: • Better performance and tolerance • More execution time

  5. MVN-sig

  6. MVN-sig

  7. MVN-sig

  8. MVN-sig

  9. MVN-sig

  10. MVN-sig

  11. Simulation Results • Benchmark Simulations • Wine dataset (5-fold CV, 100% trained)

  12. Simulation Results • Glass identification dataset (5-fold CV, 100% trained)

  13. Simulation Results

  14. Simulation Results

  15. Future Works

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