A quick idea.
For time series prediction. I wonder if its possible to use resampling and inverse zooming.
That is. Resample a window of the series to a lower number of samples. Then predict using those. Then as a second type of prediction use the resampled data as input and non resampled data window as the target.
Then it ?should be possible to predict the outline of the function and then predict the details of the outline. A bit like sketching. You just predict the zoomed detail for the second process.