Now showing items 1-2 of 2

    • Efficient construction of tensor ring representations from sampling 

      Khoo, Y; Lu, J; Ying, L (2017-11-30)
      In this note we propose an efficient method to compress a high dimensional function into a tensor ring format, based on alternating least-squares (ALS). Since the function has size exponential in $d$ where $d$ is the number ...
    • Solving parametric PDE problems with artificial neural networks 

      Khoo, Y; Lu, J; Ying, L (2017-11-30)
      The curse of dimensionality is commonly encountered in numerical partial differential equations (PDE), especially when uncertainties have to be modeled into the equations as random coefficients. However, very often ...