BumpNet: A Sparse Neural Network Framework for Learning PDE Solutions

This article introduces BumpNet, a novel sparse neural network framework designed for solving Partial Differential Equations (PDEs). The focus on sparsity suggests an attempt to improve computational efficiency and potentially address challenges related to the curse of dimensionality often encountered in PDE solving. The use of a neural network framework indicates an application of deep learning techniques to a traditional scientific computing problem. The ArXiv source suggests this is a pre-print, indicating ongoing research and potential for future development and peer review.