Tensor Neural Network Interpolation and Its Applications

Understand

Based on tensor neural network, we propose an interpolation method for high dimensional non-tensor-product-type functions.

• This interpolation scheme is designed by using the tensor neural network based machine learning method.
• This means that we use a tensor neural network to approximate high dimensional functions which has no tensor product structure.
• In some sense, the non-tenor-product-type high dimensional function is transformed to the tensor neural network which has tensor product structure.