Sparse polynomial chaos expansion for high-dimensional uncertainty quantification of braided shielded cables

This paper proposes the use of a sparse polynomial chaos expansion method, whose set of basis functions is sparsified using the hyperbolic truncation scheme. This allows the reduction of the computational cost needed to generate a polynomial chaos model that can predict statistical properties of a high-dimensional uncertainty quantification problem of crosstalk in braided shielded cables. By comparing the results of the sparse polynomial chaos expansion with those of a standard polynomial chaos expansion and a Monte Carlo method, we verify that sparse polynomial chaos expansion using the hyperbolic truncation scheme can effectively reduce the curse of dimensionality issues in high-dimensional uncertainty quantification problems for braided shielded cables.