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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape

Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape

The high-index saddle dynamics (HiSD) method is a powerful approach for computing saddle points and solution landscape. However, its practical applicability is constrained by the need for the explicit energy function expression. To overcome this challenge, we propose a neural network-based high-index saddle dynamics (NN-HiSD) method. It utilizes neural network-based …