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math.PR2021★ 1 cited
Generalized T-product Tensor Bernstein Bounds
Shih Yu Chang, Yimin Wei
Since Kilmer et al. introduced the new multiplication method between two third-order tensors around 2008 and third-order tensors with such multiplication structure are also called…
math.FA2021★ 4 cited
T product Tensors Part I: Inequalities
Shih Yu Chang, Yimin Wei
The T product operation between two three order tensors was invented around 2011 and it arises from many applications, such as signal processing, image feature extraction, machine…
math.PR2021
General Tail Bounds for Random Tensors Summation: Majorization Approach
Shih Yu Chang
In recent years, tensors have been applied to different applications in science and engineering fields. In order to establish theory about tail bounds of the tensors summation beha…