Poster
Learning advanced mathematical computations from examples
François Charton · Amaury Hayat · Guillaume Lample
Virtual
Keywords: [ computation ] [ differential equations ] [ transformers ] [ deep learning ]
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.