The details on TSMODEL can be found in the Algorithms manual, which is accessible via Help > Documentation in PDF format. As far as I know, since the input data are time series and, therefore, cannot be randomly sampled, you would need to select a training sample via the usual variable selection methods and then apply it to your holdout sample. But, inevitably this means testing on a different time period from the estimation period.
For neural networks, when you run either procedure, save the model as an xml file (on the Export tab in the dialog box). Then, using Utilities > Scoring Wizard,select your xml file and specify any mappings needed for the computations.
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