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Francesca Bartolucci

2 accepted papers

2023

Convolutional Neural Operators for robust and accurate learning of PDEs

NeurIPS 2023poster

Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function space -- have been largely ignored in the context of learning solution operators of PDEs. Here, we present novel adaptations for convolutional n…

2023

Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning

NeurIPS 2023poster

Recently, operator learning, or learning mappings between infinite-dimensional function spaces, has garnered significant attention, notably in relation to learning partial differential equations from data. Conceptually clear when outlined on paper, neural operators necessitate discretization in the…

Cited by 52SourcePDFScholar