Learning topological horseshoe via deep neural networks

DOI10.1142/S021812742430009XzbMATH Open1546.37156MaRDI QIDQ6538938

Junfeng Cheng, Xiao-Song Yang

Publication date: 14 May 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

chaosPoincaré maptopological horseshoedeep neural network

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Learning and adaptive systems in artificial intelligence (68T05) Symbolic dynamics (37B10) Numerical chaos (65P20) Approximation methods and numerical treatment of dynamical systems (37M99)

Cites Work

• DGM: a deep learning algorithm for solving partial differential equations
• Topological horseshoe and its uniform hyperbolicity in the HP model
• Data-driven discovery of PDEs in complex datasets
• TOPOLOGICAL HORSESHOES AND COMPUTER ASSISTED VERIFICATION OF CHAOTIC DYNAMICS
• Approximation of high-dimensional parametric PDEs
• Neural network approximation

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