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Doesn't that mean that the neural net learned itself a numerical method to compute the solution of the equation, and that it is close enough in terms of approxi
by d--b 9y ago
Doesn't that mean that the neural net learned itself a numerical method to compute the solution of the equation, and that it is close enough in terms of approximation up to 7 Lyapukov times, and after that time, the approximation becomes not good enough and the system can't predict?
It doesn't sound like too groundbreaking...
- ppod 9y agoI think it's blurring the line between modelling and simulation. You can find an efficient route down a hillside by pouring water down it, or a line of least resistance through a system by passing a current through it. Is the system learning a numerical solution, or performing one? I think this is like building a model of a system that is much closer to the territory than the map compared to a normal model, but still easier to work with than the territory.
- aeorgnoieang 9y ago> Is the system learning a numerical solution, or performing one? Is there a real difference? Any learning must be, fundamentally, an algorithm, so learning is performing.
- ppod 9y agoThis is a deep topic but one good treatment of is in the works of David Deutsch: https://www.cs.indiana.edu/~dgerman/hector/deutsch.pdf https://www.cs.indiana.edu/~dgerman/hector/deutsch.pdf