A neural network surrogate replaces the explicit energy function in high-index saddle dynamics, and nearby surrogate saddle points are proven to approximate true ones when the network is accurate.
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Neural Network-based High-index Saddle Dynamics Method for Searching Saddle Points and Solution Landscape
A neural network surrogate replaces the explicit energy function in high-index saddle dynamics, and nearby surrogate saddle points are proven to approximate true ones when the network is accurate.