54 citations · 155 across the 71 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.NA2019★ 2 cited
Hermitian Tensor Decompositions
Jiawang Nie, Zi Yang
Hermitian tensors are generalizations of Hermitian matrices, but they have very different properties. Every complex Hermitian tensor is a sum of complex Hermitian rank-1 tensors. H…
math.OC2019
Stochastic Polynomial Optimization
Jiawang Nie, Liu Yang, Suhan Zhong
This paper studies stochastic optimization problems with polynomials. We propose an optimization model with sample averages and perturbations. The Lasserre type Moment-SOS relaxati…
math.FA2019
Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions
Eric Evert, J. William Helton, Shiyuan Huang +1
This paper analyses a Waring type decomposition of a noncommuting (NC) polynomial with respect to the goal of evaluating efficiently on tuples of matrices. Such a decomposi…