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The individuals should be different when doing a warm_start since the initial population won't be reset. (see here). TPOT need reset random state each time fit is called for reproducibility.
I saw the code for the population, but I experienced a strange behavior.
I used max_time_mins and a loop to restart a fit every hour, and observed absolutely no improvement (I was very far from a good score according to other runs) and killed it after a few hours.
Moreover, one estimator used to run for a very long time (see #780), and it had the same index every time, which made me think that the population didn't change.
If a random state is specified, it will be reset each time fit is called. See here:
https://github.com/EpistasisLab/tpot/blob/master/tpot/base.py#L594-L596
Therefore the individuals will always be the same.
The consequence is that it is not possible to get both reproducibility and periodic save.
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