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Burigede Liu

3 accepted papers

2022

Learning Chaotic Dynamics in Dissipative Systems

NeurIPS 2022accept

Chaotic systems are notoriously challenging to predict because of their sensitivity to perturbations and errors due to time stepping. Despite this unpredictable behavior, for many dissipative systems the statistics of the long term trajectories are governed by an invariant measure supported on a set…

Cited by 36SourcePDFScholar
2021

Fourier Neural Operator for Parametric Partial Differential Equations

ICLR 2021poster

The classical development of neural networks has primarily focused on learning mappings between finite-dimensional Euclidean spaces. Recently, this has been generalized to neural operators that learn mappings between function spaces. For partial differential equations (PDEs), neural operators direc…

2020

Multipole Graph Neural Operator for Parametric Partial Differential Equations

NeurIPS 2020poster

One of the main challenges in using deep learning-based methods for simulating physical systems and solving partial differential equations (PDEs) is formulating physics-based data in the desired structure for neural networks. Graph neural networks (GNNs) have gained popularity in this area since gr…