How to train the same RNN over multiple series? I have multiple separate time series and would like to train the same LSTM network on them. How to do in this situation? I can't just concatenate timeseries (along time), because I am afraid network will be confused by jumps at the points of concatenation.

How to overcome?
just re-use 


  model.fit()


on the fresh datasets using the already trained model, simple as that :) !

(given that you do it in Keras)