May 3, 2021
Using transformers over large generated datasets, we train models to learn mathematical properties of differential systems, such as local stability, be- havior at infinity and controllability. We achieve near perfect prediction of qualitative characteristics, and good approximations of numerical features of the system. This demonstrates that neural networks can learn to per- form complex computations, grounded in advanced theory, from examples, without built-in mathematical knowledge.
Publisher
ICLR 2021
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Foundational models