4 citations · 7 across the 6 of their papers we have counts for
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Random Parametrization Double Tensors Integrals and Their Applications
Shih Yu Chang
In this work, we extend double tensor integrals (DTI) from our previous work to parametrization double tensors integrals (PDTI) by applying integral kernel transform bounds to uppe…
Random Double Tensors Integrals
Shih Yu Chang
In this work, we try to build a theory for random double tensor integrals (DTI). We begin with the definition of DTI and discuss how randomness structure is built upon DTI. Then, t…
Generalized Hanson-Wright Inequality for Random Tensors
Shih Yu Chang
The Hanson-Wright inequality is an upper bound for tails of real quadratic forms in independent random variables. In this work, we extend the Hanson-Wright inequality for the Ky Fa…
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…
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…
Convenient tail bounds for sums of random tensors
Shih Yu Chang
This work prepares new probability bounds for sums of random, independent, Hermitian tensors. These probability bounds characterize large-deviation behavior of the extreme eigenval…