ML: Predict sequence of values

Let's say we have nice a line built up of two damped oscillators as it displayed on the picture.

What if I say it's possible to predict 700 values of this line using just:

  • 30 data points for feeding neural network(which is just half-period)
  • using just two fully-connected layers (hence it's not deep network)
  • having just three neurons in whole network

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