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Neural Networks Can't Extrapolate Outside of the Training Range
The only thing you need someo is to have the orientation of the axis where you will extrapolate, to be somewhat a line in the autagonal space of that yparplane. Once you have that, then you will generalize even thogh. But i still want to linger on this point of why you said or hears, just a random projection of the data. Here's a trained resinat projection. What i took from that is irrespective. It's all in an extraplative regime. I don't think people sull expect bad performance because you are not in a interpolation regime.