02/19/2023, 04:52 PM
(02/19/2023, 04:16 PM)Ember Edison Wrote: Why don't we use Neural Networks to facilitate the numerical computation of the Kneser method?
After all, there is already the precedent of AlphaTensor.
I think we have at least two ways to utilize Neural Networks:
1. Putting hope in the Universal approximation theorem, neural networks are simply used as a kind of super Newton method.
2. Is there some parameter of Kneser's method that can speed up the solution/increase the accuracy by guessing an approximation? If so, use a neural network to train out these parameters.
If the topic of neural networks has been discussed on the forum before, please let me know.
Hello Ember, don't know whether this matters your intention: one of my first readings on tetration 2007 has been Lars Kindermann's doctoral thesis on Neural Network method to tetration. Maybe you know this or maybe that doesn't matter for your intention.... Anyway, the paper is online in case you're interested: I've been a complete greenhorn in tetration and understood nearly nothing that years ago, and so I cannot say, whether there was some relation to Kneser's method considered at all.
Gottfried Helms, Kassel