q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators

Frank Nielsen, Ke Sun

Sep 27, 2018 ICLR 2019 Conference Blind Submission readers: everyone Show Bibtex
  • Abstract: We propose a new generic type of stochastic neurons, called $q$-neurons, that considers activation functions based on Jackson's $q$-derivatives, with stochastic parameters $q$. Our generalization of neural network architectures with $q$-neurons is shown to be both scalable and very easy to implement. We demonstrate experimentally consistently improved performances over state-of-the-art standard activation functions, both on training and testing loss functions.
  • Keywords: q-calculus, neural activation function
  • TL;DR: q-calculus helps build simple and scalable neural activation functions
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