I already post the question on Stackoverflow : https://stackoverflow.com/questions/53785922/is-the-use-of-a-non-monotonic-activation-function-is-a-correct-and-viable-solut?noredirect=1#comment94423971_53785922

I found several papers about how to build a single layer perceptron able to solve the XOR problem. The papers describe a solution where the heaviside step function is replaced by a non-monotonic activation function. Here is the papers :

I also found this topic on Stackoverflow : https://stackoverflow.com/questions/30412427/solving-xor-with-single-layer-perceptron

Can we really solve the XOR problem with a simple perceptron ? Because the use of a non-monotonic activation function is not really common on this topic. Papers about this idea are scarce. Generally, the main solution is to build a multilayer perceptron.

  • $\begingroup$ The second link (Aizenberg) does not work $\endgroup$ – Vladislav Gladkikh Dec 16 '18 at 2:34
  • $\begingroup$ I add a new link $\endgroup$ – app_idea54 Dec 16 '18 at 3:14
  • $\begingroup$ The UBN is a new type of cell. It is not a perceptron cell any more than an LSTM cell is. $\endgroup$ – FauChristian Dec 18 '18 at 11:07

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