Quantum-Inspired Tensor Neural Networks for Partial Differential Equations. (arXiv:2208.02235v2 [cs.LG] UPDATED)

Partial Differential Equations (PDEs) are used to model a variety of
dynamical systems in science and engineering. Recent advances in deep learning
have enabled us to solve them in a higher dimension by addressing the curse of
dimensionality in new ways. However, deep learning methods are constrained by
training time and memory. To tackle these shortcomings, we implement Tensor
Neural Networks (TNN), a quantum-inspired neural network architecture that
leverages Tensor Network ideas to improve upon deep learning approaches. We
demonstrate …

arxiv lg networks neural networks quantum tensor