Papers › Learning advanced mathematical computations from examples

Learning advanced mathematical computations from examples

11 Jun 2020ICLR 2021 1arXiv:2006.06462archive 2025-07-28

François Charton, Amaury Hayat, Guillaume Lample

Using transformers over large generated datasets, we train models to learn mathematical properties of differential systems, such as local stability, behavior 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 perform complex computations, grounded in advanced theory, from examples, without built-in mathematical knowledge.

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