L. Qi

1paper

1 Paper

STFeb 8, 2019
Bernstein Concentration Inequalities for Tensors via Einstein Products

Z. Luo, L. Qi, Ph. L. Toint

A generalization of the Bernstein matrix concentration inequality to random tensors of general order is proposed. This generalization is based on the use of Einstein products between tensors, from which a strong link can be established between matrices and tensors, in turn allowing exploitation of existing results for the former.