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I was running into a situation with a data set like this enter image description here

I have 4 events and and they might happen together in pairs. I want to use 3 features to predict the coupling between event. I am building a deep learning neural network using Keras and I am not sure what kind of loss function and metric is suitable for this kind of problem since the output is not one hot.

Note that from line 2, (Event 1 and Event 3) and ( Event 2 and Event 4) can happen together !

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