Title
A Differentiable Transition Between Additive and Multiplicative Neurons.
Abstract
Existing approaches to combine both additive and multiplicative neural units either use a fixed assignment of operations or require discrete optimization to determine what function a neuron should perform. However, this leads to an extensive increase in the computational complexity of the training procedure. We present a novel, parameterizable transfer function based on the mathematical concept of non-integer functional iteration that allows the operation each neuron performs to be smoothly and, most importantly, differentiablely adjusted between addition and multiplication. This allows the decision between addition and multiplication to be integrated into the standard backpropagation training procedure.
Year
Venue
Field
2016
arXiv: Learning
Mathematical optimization,Multiplicative function,Discrete optimization,Differentiable function,Transfer function,Multiplication,Artificial intelligence,Backpropagation,Machine learning,Mathematics,Computational complexity theory
DocType
Volume
Citations 
Journal
abs/1604.03736
0
PageRank 
References 
Authors
0.34
2
3
Name
Order
Citations
PageRank
Wiebke Köpp100.34
Patrick van der Smagt218824.23
Sebastian Urban3225.38