Your understanding of the term "multiple trajectories" is not clear to me.
However, you cannot update any old net with only new data because the net will forget the information from the old data UNLESS the new and old data contain the SAME summary statistics (e.g., mean, covariance, auto/cross correlations ... ). I like to think of it in terms of both new and old data are random samples from the same probability distribution.
For regression and classification:
If your net has been trained with datasetA and you wish to update it with datasetB, you should update it with a COMBINATION of datasets A & B )
For timeseries:
If your net has been trained with datasetA and you wish to update it with datasetB,
1. A and B have to be synchronous.
2. Update it with a VECTOR COMBINATION of datasets A & B ), i.e.,
A ==> [ A ; B ]
Hope this helps
Thank you for formally accepting my answer
Greg
