Time series prediction without sliding window. [xpost stackexchange] • /r/MachineLearning

I've got a collection of historic log files for a process that repeats daily, roughly the same each day. I want an NN that, from the moment that the daily process starts, estimates what time the whole process will finally complete. As the daily process progresses, the estimate should become more accurate and converge on the actual completion time as soon as possible. A degree of confidence in the prediction would be useful too. The daily process is a collection of mostly serial subprocesses.